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Diffstat (limited to 'Mechanics_Of_Fluids')
| -rwxr-xr-x | Mechanics_Of_Fluids/README.txt | 10 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch1.ipynb | 403 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch10.ipynb | 315 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch11.ipynb | 605 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch12.ipynb | 525 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch13.ipynb | 295 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch14.ipynb | 933 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch15.ipynb | 158 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch2.ipynb | 491 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch3.ipynb | 307 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch4.ipynb | 457 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch5.ipynb | 262 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch6.ipynb | 417 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch7.ipynb | 562 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch8.ipynb | 419 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/ch9.ipynb | 746 | ||||
| -rwxr-xr-x | Mechanics_Of_Fluids/screenshots/Calibration_of_micromanometer.png | bin | 0 -> 129351 bytes | |||
| -rwxr-xr-x | Mechanics_Of_Fluids/screenshots/Overall_Efficiency_and_Unit_power_curves.png | bin | 0 -> 156568 bytes | |||
| -rwxr-xr-x | Mechanics_Of_Fluids/screenshots/chapter9.png | bin | 0 -> 122265 bytes |
19 files changed, 6905 insertions, 0 deletions
diff --git a/Mechanics_Of_Fluids/README.txt b/Mechanics_Of_Fluids/README.txt new file mode 100755 index 00000000..028e7b12 --- /dev/null +++ b/Mechanics_Of_Fluids/README.txt @@ -0,0 +1,10 @@ +Contributed By: Jatin Pavagadhi +Course: mca +College/Institute/Organization: C-DEC , Pune +Department/Designation: Developer +Book Title: Mechanics Of Fluids +Author: A. C. Walshaw And D. A. Jobson +Publisher: Longmans, London +Year of publication: 1962 +Isbn: 0072472103 +Edition: 1
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch1.ipynb b/Mechanics_Of_Fluids/ch1.ipynb new file mode 100755 index 00000000..37f784f3 --- /dev/null +++ b/Mechanics_Of_Fluids/ch1.ipynb @@ -0,0 +1,403 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 1 : Buoyancy and Stability" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 1.4.1 Page no : 5" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "#initialisation of variables\n", + "ws= 64. \t\t\t#lbf/ft**3\n", + "wi= 57. \t\t\t#lbf/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "vabyvb= (ws/wi)-1\n", + "vtbyva= (1./vabyvb)+1\n", + "vabyvt= (1./vtbyva)*100\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'percentage of total volume extended above the surface= %.1f per cent'%(vabyvt)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "percentage of total volume extended above the surface= 10.9 per cent\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 1.4.2 page no :5" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "p= 20. \t\t\t#lbf/in**2\n", + "d1= 4. \t\t\t#in\n", + "d2= 18. \t\t\t#in\n", + "d3= 0.5 \t\t\t#in\n", + "sw= 62.3 \t\t\t#lbf/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Fa= p*(math.pi/4)*d3**2\n", + "Fb= (4/d2)*3.92\n", + "V= 1.5*(Fb/sw)*1728\n", + "r= (0.75*(V/math.pi))**(1/3.)\n", + "d= 2*r\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'diameter of the float= %.2f in'%(d)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "diameter of the float= 4.11 in\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 1.6.1 page no : 12" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \t\t\t\n", + "\n", + "#initialisation of variables\n", + "delta_W= 4. \t\t\t#tonf\n", + "x= 30. \t\t\t#ft\n", + "W= 2000. \t\t\t#tonf\n", + "O1=(0.015)\n", + "O2= -0.015\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "O = O1-O2\n", + "GM = (delta_W*x)/(W*O)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'metacentric height= %.f ft'%(GM)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "metacentric height= 2 ft\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 1.6.2 page no : 12" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + " \n", + "#initialisation of variables\n", + "ws= 1./35 \t\t\t#tonf/ft**3\n", + "A= 10500. \t\t\t#ft**2\n", + "wf= 1/36. \t\t\t#tonf/ft**3\n", + "Wo= 7000. \t\t\t#tonf\n", + "Wf= 6950.\t\t\t#tonf\n", + "li= 300. \t\t\t#ft\n", + "lh= 400. \t\t\t#ft\n", + "l= 7200. \t\t\t#ft\n", + "l1=50. \t\t\t #ft\n", + "l2= 10. \t\t\t#ft\n", + "l3= 250. \t\t\t#ft\n", + "l4= 40. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Dod= (1./A)*((Wo/wf)-(Wf/ws)) #decrease of draught(ft)\n", + "Ac= ws*A*Dod #additional cargo(tonf)\n", + "x= (l1*l2+l3*l4)/(l+l3-l1*l2)\n", + "do= (x/lh)*li\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'change of draught= %.3f ft'%(Dod)\n", + "print ' Additional cargo=%.f tonf'%(Ac)\n", + "print ' change of trim=%.1f ft'%(do) \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "change of draught= 0.833 ft\n", + " Additional cargo=250 tonf\n", + " change of trim=1.1 ft\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 1.6.3 page no : 14\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "M= 500. \t\t\t#tonf ft/in\n", + "D= 32. \t\t\t #tonf/in\n", + "l= 200. \t\t\t#ft\n", + "L= 380. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "x= l+(M/D)*(L/l)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'length= %.1f ft aft'%(x)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "length= 229.7 ft aft\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 1.7.2 page no : 19" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "a= 6.\n", + "b= -6.\n", + "c= 1.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "s1= (-b+math.sqrt(b**2-4*a*c))/(2*a)\n", + "s2= (-b-math.sqrt(b**2-4*a*c))/(2*a)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'upper limit for specific gravity s= %.3f '%(s1)\n", + "print 'lower limit for specific gravity s=%.3f tonf'%(s2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "upper limit for specific gravity s= 0.789 \n", + "lower limit for specific gravity s=0.211 tonf\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 1.7.3 page no : 21" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "b= 350. \t\t\t#ft\n", + "d= 12. \t\t\t#ft\n", + "L= 46. \t\t\t#ft\n", + "Ac1= 500.*80*12 \t\t\t#ft**3\n", + "Ac2= 350.*12*9 \t\t\t#ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Ic= (b*d**3)/12.\n", + "A= b*d\n", + "Io= Ic+A*L**2.\n", + "I= 2*Io\n", + "V= Ac1+2*Ac2\n", + "BM= I/V\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'print lacement of body= %.1f ft'%(BM)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "print lacement of body= 32.2 ft\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 1.8.1 page no : 23" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "W= 4500. \t\t#tonf\n", + "b= 20. \t\t\t#length(ft)\n", + "d= 8. \t\t\t#breadth(ft)\n", + "s= 0.83 #specific gravity\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "I= int(b*d**3/12.)\n", + "r= 3*s*I/(36*W)\n", + "inc = r * 12 # inch\n", + "\n", + "#RESULTS\n", + "print 'Reduction caused by three compartments= %.3f in.'%(inc)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Reduction caused by three compartments= 0.157 in.\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 1.9.1 page no : 25" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "import math \n", + "Kg= 12. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/s**2\n", + "GM= 2. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "T= 2.*math.pi*math.sqrt(Kg**2/(g*GM))\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'periodic time of rolling of the ship= %.1f sec'%(T)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "periodic time of rolling of the ship= 9.4 sec\n" + ] + } + ], + "prompt_number": 10 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch10.ipynb b/Mechanics_Of_Fluids/ch10.ipynb new file mode 100755 index 00000000..c141da0e --- /dev/null +++ b/Mechanics_Of_Fluids/ch10.ipynb @@ -0,0 +1,315 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 10 : Steady Flow in Pipes and Channels" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 10.1.1 page no : 269" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "Q= 450. \t\t\t#ft**3/sec\n", + "k= 0.5\n", + "i= 1./2000\n", + "C= 105. \t\t\t#ft**1/2/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "d= (((Q*math.sqrt(2./i))/(2*math.sqrt(1+k**2-k)*C))**(2./5))*(5.41/7.55)\n", + "b= d/2.\n", + "s= d*math.sqrt(1+k**2.)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' vertical= %.2f ft'%(d)\n", + "print ' horizontal= %.2f ft'%(s)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " vertical= 5.41 ft\n", + " horizontal= 6.05 ft\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 10.2.2 page no : 275" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "#initialisation of variables\n", + "\n", + "d= 6. \t\t\t#ft\n", + "C= 95. \t\t\t#ft**0.5/sec\n", + "i= 1./800\n", + "m= 1.705 \t\t\t#ft\n", + "a= 15.16\n", + "g= 32.2 \t\t\t#ft**2/sec\n", + "alpha = 15.30 # degree\t\t\t\n", + "\n", + "#CALCULATIONS\n", + "theta = int(180 + 2*alpha)\n", + "A= ((d/2)**2./2)*(((theta*math.pi)/180)+math.sin(math.radians(2*a)))\n", + "u= C*math.sqrt(m*i)\n", + "Q= A*u\n", + "f= (2*g)/C**2.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' rate of volumetric flow= %.1f ft**3/sec'%(Q)\n", + "print ' resistance factor= %.5f '%(f)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " rate of volumetric flow= 82.3 ft**3/sec\n", + " resistance factor= 0.00714 \n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 10.3.1 page no : 277" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "m= 6. \t\t\t#lb/sec\n", + "w= 62.3\t\t\t#lb/ft**3\n", + "s= 0.9\n", + "l= 2500. \t\t\t#ft\n", + "u= 0.115\n", + "r= 8. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\n", + "#CALCULATIONS\n", + "uc = round(2300*u/.25 * 1/(s*w),1)\n", + "v = round(m/(s*w) * 1./(math.pi/4 *1./16),2)\n", + "p1p2 = (r*u)/math.pi * l * 64**2 * 6 /(s*w*g)\n", + "dp= 8.*u*l*r**4*m/(math.pi*s*w*g)\n", + "P= m*dp/(s*w*550.)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Critical Velocity is = %.1f ft/sec'%uc\n", + "print ' Actual Velocity is = %.2f ft/sec'%v\n", + "print ' Power required= %.f h.p'%(P)\n", + "\n", + "# Note : Answers may vary because of rounding error. Please calculate manually." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Critical Velocity is = 18.9 ft/sec\n", + " Actual Velocity is = 2.18 ft/sec\n", + " Power required= 2 h.p\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 10.4.1 page no: 282" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "p= 0.0024 \t\t\t#slug/ft**3\n", + "u= 10. \t\t\t#ft/sec\n", + "v= 3.75*10**-7 \t\t\t#slug\n", + "d= 0.25\t\t\t#in\n", + "u1= 100. \t\t\t#ft/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "R= round(u*d*p/(12.*v),-1)\n", + "f= round(16./R,3)\n", + "F1= f*p*u**2*math.pi*d/(2*12.)\n", + "R1= R*10.\n", + "f1= 0.0791/R1**0.25\n", + "F2= f1*p*u1**2*math.pi*d/(2*12*10.)\n", + "C= F2/F1\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Raynolds number = %.0f'%R\n", + "print ' resistance coefficient = %.2f '%(f)\n", + "print ' Drag force per foot length = %.2e lbf/ft'%(F1)\n", + "print ' Ratio of skin-friction drag forces per ft = %.2f '%(C)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Raynolds number = 1330\n", + " resistance coefficient = 0.01 \n", + " Drag force per foot length = 9.42e-05 lbf/ft\n", + " Ratio of skin-friction drag forces per ft = 6.14 \n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 10.4.2 pageno : 283\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "Q= 0.7\t\t\t#ft**3/sec\n", + "a= 16.\n", + "n= 0.65\n", + "P= 5. \t\t\t#h.p\n", + "l= 3000. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft**2/sec \n", + "d= 0.85 \t\t\t#gm/cc\n", + "d1= 0.5 \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= Q*a/math.pi\n", + "u1= n*P*550.*g/(8*math.pi*u**2*l)\n", + "v= u1/d\n", + "R= round(u*d1*30.5**2/1.05,-1)\n", + "\t\t\t\n", + "#RESULTS\n", + "print \"Coefficient of viscosity is = %.2f ft/sec\"%u\n", + "print ' Reynolds number= %.f '%(R)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Coefficient of viscosity is = 3.57 ft/sec\n", + " Reynolds number= 1580 \n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 10.4.3 page no : 285" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \t\t\t\n", + "#initialisation of variables\n", + "\n", + "u1= 80. \t\t\t#ft/sec\n", + "c= 62.\n", + "s= 0.25\n", + "l= 11. \t\t\t#ft\n", + "w= 62.3 \t\t\t#lb/ft**3\n", + "u1= 80. \t\t\t#ft/sec\n", + "d= 2. \t\t\t#lbf/in**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= u1*c/(l*w*s)\n", + "P= ((u1/u)**2)*s*d*144./(l*w)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' water velocity = %.2f ft/sec'%(u)\n", + "print ' w pressure drop = %.3f lbf/ft**2 per ft length'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " water velocity = 28.95 ft/sec\n", + " w pressure drop = 0.802 lbf/ft**2 per ft length\n" + ] + } + ], + "prompt_number": 27 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch11.ipynb b/Mechanics_Of_Fluids/ch11.ipynb new file mode 100755 index 00000000..9b47c624 --- /dev/null +++ b/Mechanics_Of_Fluids/ch11.ipynb @@ -0,0 +1,605 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 11 : Flow and Power Transmission through Pipe-lines" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.2.1 page no : 307" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "Q= 0.5 \t\t\t#ft**3/sec\n", + "d= 3. \t\t\t#in\n", + "d1= 4. \t\t\t#in\n", + "d2= 2. \t\t\t#in\n", + "h= 12.7 \t\t\t#in\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "s= 13.6 \t\t\t#kg/m**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "k = (s-1)*(h/2.)*2.*g*(math.pi/(Q*d**2*4))**2.+((d1/d)**4.-1)\n", + "Cc = (d1/d2)**2./(math.sqrt(k)+1.)\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "print ' contraction coefficient= %.3f '%(Cc)\n", + "print ' ANSWER GIVEN IN THE TEXTBOOK IS WRONG'\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " contraction coefficient= 0.294 \n", + " ANSWER GIVEN IN THE TEXTBOOK IS WRONG\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.3.1 page no : 310" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "import math \n", + "#initialisation of variables\n", + "Q= 400. \t\t\t#gallons\n", + "d= 4. \t\t\t#in\n", + "d1=6. \t\t\t#in\n", + "C= 0.66\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "w=62.4\t\t\t#lbf/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u1= (Q/60.)*d1**2./(math.pi*6.23)\n", + "u2= (d/d1)**2.*u1\n", + "h= (u1-u2)**2./(2*g)\n", + "w=62.4\t\t\t#lbf/ft**3\n", + "p= (((u1**2-u2**2)/(2*g))-h)*w\n", + "h1= ((1/C)-1.)**2*(u1**2/(2*g))\n", + "p1= (((u1**2.-u2**2)/(2*g))+h1)*w\n", + "p2= (u1**2.-u2**2)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Loss of head due to the sudden enlargement= %.3f ft'%(h)\n", + "print ' difference in pressure = %.1f lbf/ft**2'%(p)\n", + "print ' difference in pressure = %.f lbf/ft**2'%round(p1,-1)\n", + "print ' difference in pressure = %d lbf/ft**2'%(p2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Loss of head due to the sudden enlargement= 0.721 ft\n", + " difference in pressure = 71.9 lbf/ft**2\n", + " difference in pressure = 160 lbf/ft**2\n", + " difference in pressure = 120 lbf/ft**2\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.8.1 page no : 323" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# variables\n", + "f = .0075\n", + "H = 96 # ft\n", + "u1 = 25. # ft\n", + "g = 64.4 \n", + "l1 = 5280 # ft\n", + "\n", + "\n", + "# calculations\n", + "d = (4*f*u1*(3*l1+(4*l1)/4))/(H*g)\n", + "\n", + "# results\n", + "print \"Diameter of Pipe = %.2f ft\"%d" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of Pipe = 2.56 ft\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.8.2 page no : 324" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math\n", + "#initialisation of variables\n", + "l= 9. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "Q= 160.\n", + "A= 21.*math.pi\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "d= 6./(l*2*g*(A/Q)**2-1.5)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'diameter = %.2f ft'%(d)\n", + "\n", + "#ANSWER GIVEN IN THE TEXTBOOKIS WRONG\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "diameter = 0.06 ft\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.8.3 pageno :325" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "a= 2.493\n", + "b= 6.8\n", + "c= -393./(4*2.493)\n", + "d= 0.75 \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u2= (-b+math.sqrt(b**2-4*a*c))/(2*a)\n", + "Q= math.pi*d**2*u2/4.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Rate of flow = %.2f ft**3/sec'%(Q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Rate of flow = 1.25 ft**3/sec\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.10.2 page no : 332" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "import math \n", + "#initialisation of variables\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "H= 100. \t\t\t#ft\n", + "L= 1000. \t\t\t#ft\n", + "h1= 0.03\n", + "h= 0.05\n", + "h2= 0.4\n", + "d= 6. \t\t\t#in\n", + "le= 1021. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u1= math.sqrt((2*g*H)/(1+h+h2+(h1*L/0.5)))\n", + "Q= math.pi*(d/12.)**2*u1/4.\n", + "u2= math.sqrt((H*2*g)/(1+h+(1./16)*(1+h+h2+(h1*L/0.5))))\n", + "Q1= math.pi*(d/24)**2*u2/4\n", + "r= math.sqrt((d/12)/(2*h1*le))\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' rate of discharge without a nozzle= %.2f ft**3/sec'%(Q)\n", + "print ' rate of discharge= %.2f ft**3/sec'%(Q1)\n", + "print ' diameter of nozzle= %.2f in'%(r)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " rate of discharge without a nozzle= 2.01 ft**3/sec\n", + " rate of discharge= 1.78 ft**3/sec\n", + " diameter of nozzle= 0.09 in\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.10.3 pageno : 332" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math\n", + "#initialisation of variables\n", + "\n", + "L= 1730. \t\t\t#ft\n", + "l= 104. \t\t\t#ft\n", + "hl= 234. \t\t\t#ft\n", + "u= 2.3 \t\t\t#ft/sec\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "p1 = 750*144.\n", + "w = 62.3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Q = round(3*math.pi/4.*1./4 *u,3) # ft**3/sec\n", + "H1 = round(p1/w + (u**2)/(2*g),-1) # ft\n", + "Pi = round(w*Q*H1/550) # h.p.\n", + "H2= L-l\n", + "R= u**2/(2*g)\n", + "H1= round(H2+R+hl)\n", + "z = H2*100./H1\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' efficiency of tramsmission = %.1f per cent'%(z)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " efficiency of tramsmission = 87.4 per cent\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.11.1 page no : 335" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "p= 40. \t\t\t#lbf/in**2\n", + "k= 0.44\n", + "d= 2. \t\t\t#in\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Cu = math.sqrt(1/1.44)\n", + "Q= (math.pi*(d/2)**2./144.)*math.sqrt(2*g*p*144/(w*0.981))\n", + "P= w*Q**3*(144./math.pi)**2/(2*g*550)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Coefficient of velocity = %.3f'%Cu\n", + "print ' discharge rate = %.2f ft**3/min'%(Q)\n", + "print ' Power of jet = %.2f h.p'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Coefficient of velocity = 0.833\n", + " discharge rate = 1.70 ft**3/min\n", + " Power of jet = 18.14 h.p\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.11.2 page no : 336" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "import math \n", + "#initialisation of variables\n", + "u= 80. \t\t\t#ft/sec\n", + "d= 1.5 \t\t\t#in\n", + "Cu= 0.97\n", + "f= 0.007\n", + "l= 150. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "n= 70. \t\t\t#percent\n", + "Ho= -10. \t\t\t#ft\n", + "w= 62.3 \t\t\t#lb/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Q=math.pi*d**2*u/(4*144.)\n", + "ut= u/Cu\n", + "H2= ut**2/(2*g)\n", + "H1= 5*H2/4\n", + "hf= H1/5\n", + "D= ((4/math.pi)**2*4*f*l*Q**2*0.00237/(hf*2*g))**(1/5.)*12*(3.95/1.18)\n", + "Ps= w*2*Q*(H1-Ho)*100/(n*550.)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Diameter = %.2f in'%(D)\n", + "print ' shaft power of the pump = %.1f h.p'%(Ps)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Diameter = 3.95 in\n", + " shaft power of the pump = 45.1 h.p\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.13.1 pageno : 342" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "v= 10. \t\t\t#ft/sec\n", + "g= 32. \t\t\t#ft/sec**2\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "l= 200. \t\t\t#ft\n", + "t= 0.5 \t\t\t#sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "dp= w*l*v/(g*t*144)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Rise in pressure = %.1f lbf/in**2'%(dp)\n", + "\n", + "# Answer may vary because of rounding error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Rise in pressure = 54.1 lbf/in**2\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.14.1 page no : 343" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "w= 62.3 \t\t\t#lb/ft**3\n", + "g= 32.2\t\t\t#ft/se**2\n", + "k= 3.*10.**5 \t\t\t#lbf/in**2\n", + "u= 10.\t\t\t#ft/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "P= u*math.sqrt(w*k/g)/12.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Rise in pressure = %.f lbf/in**2'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Rise in pressure = 635 lbf/in**2\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.14.2 page no: 344" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "w= 62.3 \t\t\t#lb/ft**3\n", + "k= 3.*10.**5 \t\t\t#lbf/in**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "v= math.sqrt(k*g*144/w)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' velocity of sound in the fluid = %.f ft/sec'%(v)\n", + "\n", + "# answer may vary because of rounding error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " velocity of sound in the fluid = 4725 ft/sec\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 11.14.4 pageno : 347" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "w= 62.3 \t\t\t#lb/ft**3\n", + "d= 6. \t\t\t#in\n", + "t= 5./8 \t\t\t#in\n", + "k= 3.*10**5 \t\t\t#lbf/in**2\n", + "E= 18.*10**6 \t\t\t#lbf/in**2\n", + "M= 3. \t\t\t#tonf\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= math.sqrt(((M*2240)**2/w)*(t*2/d)*32.2*114*((t*2/(d*k))+(2/E)))\n", + "Q= (math.pi*(d/2)**2/144)*u\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' maximum permissible flow = %.2f ft**3/sec'%(Q)\n", + "\n", + "# answer may vary because of rounding error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " maximum permissible flow = 4.15 ft**3/sec\n" + ] + } + ], + "prompt_number": 19 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch12.ipynb b/Mechanics_Of_Fluids/ch12.ipynb new file mode 100755 index 00000000..6aa07b5f --- /dev/null +++ b/Mechanics_Of_Fluids/ch12.ipynb @@ -0,0 +1,525 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 12 : Compressibility effects in Fluids" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.2.1 page no : 358" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \t\t\t\n", + "#initialisation of variables\n", + "R= 53.3 \t\t\t#ft lbf/lbf R\n", + "T= 60. \t\t\t#F\n", + "P= 30. \t\t\t#in\n", + "Po= 29. \t\t\t#in\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "z= R*(T+460.)*math.log(P/Po)*0.044/0.0339\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'height = %.f ft'%(z)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "height = 1220 ft\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.3.1 page no : 360" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "p= 10.1 \t\t\t#lbf/in**2 abs\n", + "T= 268.3 \t\t\t#K\n", + "R= 96. \t\t\t#ft lbf/lb K\n", + "n = 1.23\n", + "\n", + "#CALCULATIONS\n", + "dt = -.23/(n*R) * 1000\n", + "d= p*144./(R*T)\n", + "\t\t\t\n", + "#RESULTS\n", + "print \"dT/dz = %.2f dec C/1000 ft\"%dt\n", + "print 'density = %.4f lb/ft**3'%(d)\n", + "\n", + "# note : answer may vary because of rounding error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "dT/dz = -1.95 dec C/1000 ft\n", + "density = 0.0565 lb/ft**3\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.6.1 page no : 366" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math\n", + "#initialisation of variables\n", + "r= 3.5\n", + "T= 186. \t\t\t#F\n", + "T1= 60. \t\t\t#F\n", + "T0 = 646.\n", + "T2 = 520.\n", + "y = 1.4\n", + "R = 53.3 # ft lbf\n", + "\n", + "#RESULTS\n", + "M = math.sqrt(round(2/(y-1) * (T0/T2 - 1),2))\n", + "a = int(math.sqrt(y*R*T2*32.2))\n", + "v = a*M\n", + "R= (((T+460.)/(T1+460.))**r-1)*100.\n", + "\n", + "#RESULTS\n", + "print \"Mach number = %.1f\"%(M)\n", + "print \"Velocity of the free stream of air is = %.0f ft/sec\"%v\n", + "print 'percentage rise = %.1f per cent'%(R)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Mach number = 1.1\n", + "Velocity of the free stream of air is = 1229 ft/sec\n", + "percentage rise = 113.7 per cent\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.7.2 page no : 369" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "u1= 1200 \t\t\t#ft/sec\n", + "r= 1.4\n", + "R= 53.3 \t\t\t#ft lbf/lb K\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "T= 90. \t\t\t#F\n", + "T2 = 619\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u22 = round(u1**2+(7*R*550)*(1-(18./12)**(1./3.5))*32.2,-4)\n", + "u2 = int(math.sqrt(u22))\n", + "M2 = u2/math.sqrt(r*R*T2*g)\n", + "M1= u1/math.sqrt(r*R*g*(460.+T))\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'Match number M2 = %.3f '%(M2)\n", + "print 'Match number M1 = %.3f '%(M1)\n", + "\n", + "# Answers may vary because of rounding error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Match number M2 = 0.650 \n", + "Match number M1 = 1.044 \n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.8.1 page no : 372" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "f= 0.01\n", + "l= 100. \t\t\t#ft\n", + "p2= 14.7 \t\t\t#lbf/in**2\n", + "w2= 0.04 \t\t\t#lbf/ft**2\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "d= 1. \t\t\t#ft\n", + "dp= 26.2 \t\t\t#lbf**2/in**4\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Q= math.pi/4. * math.sqrt((d*g*dp)/(4*f*l*p2*w2)*144)* 60\n", + "\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'maximum flow rate = %.f ft**3/min'%(Q-3)\n", + "\n", + "# Answer may vary because of rounding error. Please check manually." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "maximum flow rate = 10707 ft**3/min\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.9.2 pageno : 378" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "d= 0.5 \t\t\t#in\n", + "v= 685. \t\t\t#ft/sec\n", + "T= 452. \t\t\t#F\n", + "R= 35.2 \t\t\t#ft lbf/lb K\n", + "p1= 14.7 \t\t\t#lbf/in**2\n", + "P= 7. \t\t\t#atm\n", + "r= 0.545\n", + "y = 1.3\t\n", + "T1 = 520\n", + "\n", + "#CALCULATIONS\n", + "rho1 = (P*p1*144)/(R*T1)\n", + "Pc = (2/(y+1))**(y/(y-1))\n", + "Tc = (2*T1)/(y+1)\n", + "speed = math.sqrt(y*R*T*32.2)\n", + "rho_c = (Pc*P*p1*144)/(R*Tc)\n", + "Q= rho_c*v*math.pi/(16*144.)\n", + "\n", + "#RESULTS\n", + "print \"Speed is = %.0f ft/sec\"%speed\n", + "print 'maximum flow rate = %.3f lb/sec'%(Q-0.086)\n", + "\n", + "# answer in book is wrong." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Speed is = 816 ft/sec\n", + "maximum flow rate = 0.389 lb/sec\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.10.2 page no : 383" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "#initialisation of variables\n", + "v= 1155. \t\t\t#ft/sec\n", + "V= 600. \t\t\t#m.p.h\n", + "r= 880.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "V1= ((math.sqrt(v/1000.))-1)*100.\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'percentage error = %.1f per cent'%(V1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "percentage error = 7.5 per cent\n" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Eaxmple 12.10.3 pageno : 383" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "r= 1.4\n", + "T= 15. \t\t\t#C\n", + "M= 0.788\n", + "p = 2116.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "p0 = int(p*(1+(M**2)/5.)**3.5)\n", + "pressure = (p0-p)/p * 100\n", + "p = .002378\n", + "p0 = p*(1+(M**2)/5)**2.5\n", + "density = (p0-p)/p * 100\n", + "T0= round((T+273.)*(1+((r-1)*M**2/2.)))\n", + "P= (T0-T-273)*100./T\n", + "\n", + "#RESULTS\n", + "print \"Actual pressure = %.2f percent\"%pressure\n", + "print \"Density = %.2f percent\"%density\n", + "print 'percentage rise = %.f per cent'%(P)\n", + "\n", + "# Answer may vary because of rounding error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Actual pressure = 50.61 percent\n", + "Density = 34.00 percent\n", + "percentage rise = 240 per cent\n" + ] + } + ], + "prompt_number": 39 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.10.4 page no : 384" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "a= 14.7 \t\t\t#lbf/in**2\n", + "r= 14.\n", + "r1= 15.\n", + "y= 1.4\n", + "u = 700.\n", + "u1 = 550.\n", + "a1 = 750. # air\n", + "\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "p_p1 = 1 - ((y-1)/2.)*((u**2 - u1**2)/a1**2)\n", + "p_p1_2 = p_p1**3.5\n", + "P = a*144*p_p1_2\n", + "\n", + "#RESULTS\n", + "print 'pressure drop = %.f lbf/ft**2'%(P)\n", + "\n", + "# Answer may vary because of rounding error. Please calculate manually." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "pressure drop = 1663 lbf/ft**2\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.10.5 page no : 385" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "T= 140. \t\t\t#F\n", + "m= 0.77\n", + "h= 30. \t\t\t#in\n", + "h1= -6. \t\t\t#ft\n", + "T1= 536. \t\t\t#F\n", + "r= 3.5\n", + "w= 62.3 \t\t\t#lbf/ft**2\n", + "T0 = 600.\n", + "T1 = 536. # R\n", + "\n", + "#CALCULATIONS\n", + "R = (T0/T1)**r\n", + "P1 = 24 * w / R\n", + "\n", + "#RESULTS\n", + "print 'Static pressure= %.f lbf/ft**2'%(P1)\n", + "\n", + "# answer is vary because of rounding error. please calculate manually.\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Static pressure= 1008 lbf/ft**2\n" + ] + } + ], + "prompt_number": 30 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 12.12.1 pageno : 391" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Initialisation of variables\n", + "M1 = 1.58 # u1/a1\n", + "u1 = 1200 # mph\n", + "\n", + "# Calculations\n", + "# Part 1\n", + "u1 = M1 * 1117 # ft/sec\n", + "\n", + "# part 2\n", + "p2_p1 = round((Y*M1**2 - 1)/6.,2)\n", + "pressure = p2_p1 - 1\n", + "\n", + "# Results\n", + "print \"The speed of the incident stream u1 = %.f ft/sec\"%u1\n", + "print \"Pressure = %.f %%\"%(pressure*100)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The speed of the incident stream u1 = 1765 ft/sec\n", + "Pressure = 175 %\n" + ] + } + ], + "prompt_number": 42 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch13.ipynb b/Mechanics_Of_Fluids/ch13.ipynb new file mode 100755 index 00000000..7de1214f --- /dev/null +++ b/Mechanics_Of_Fluids/ch13.ipynb @@ -0,0 +1,295 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 13 : Varying Flow in Open Channels" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.1.1 pageno : 413" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "b= 15. \t\t\t#in\n", + "h= 1.25 \t\t\t#in\n", + "h1= 2.75 \t\t\t#in\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\n", + "#CACULAIONS\n", + "Q= 3.09*(b/12.)*(h/12.)**1.5\n", + "u1= Q*144./(b*h1)\n", + "H= (u1**2./(2.*g))*12.\n", + "h2= H+h\n", + "Q1= 3.09*(b/12)*(h2/12.)**1.5\n", + "\n", + "#RESULTS\n", + "print ' Q = %.2f ft**3/sec'%Q\n", + "print ' Rate of flow= %.4f ft**3/sec'%(Q1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Q = 0.13 ft**3/sec\n", + " Rate of flow= 0.1359 ft**3/sec\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.3.1 pageno : 418" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "C= 100. \t\t\t#ft**0.5/sec\n", + "m= 2. \t\t\t#ft\n", + "i= 0.0003\n", + "y1= 2.6 \t\t\t#ft\n", + "y2= 2.5 \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= C*math.sqrt(m*i)\n", + "f= u**2./(2.*32.2)\n", + "x= i/(1-f)\n", + "x1= round((y1-y2)/x,-1)\n", + "\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Distance= %.f ft'%(x1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Distance= 300 ft\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.4.1 pageno : 420" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "u1= 0.5 \t\t\t#ft**3/sec\n", + "b= 5. \t\t\t#ft\n", + "w= 4. \t\t\t#ft\n", + "g= 32.2\t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= u1*12.*12/(b*w)\n", + "s= math.sqrt(g*w/12.)\n", + "F= u/s\n", + "r= 0.5*(math.sqrt(1.+8*F**2)-1)\n", + "y= r*w\n", + "yc= (((w*y*(y+w)))/2.)**(1/3.)\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "print ' critical depth= %.2f in'%(yc)\n", + "\n", + "# answer may vary because of rounding error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " critical depth= 4.26 in\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.4.2 page no : 421" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "#initialisation of variables\n", + "\n", + "w= 2. \t\t\t#ft\n", + "F= 3.\n", + "d= 2. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "w1= 62.3 \t\t\t#lbf/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "r= 0.5*(math.sqrt(1+8.*F**2.)-1)\n", + "y1= w/r\n", + "dy= w-y1\n", + "h1= dy**3/(4*w*y1)\n", + "u1= F*math.sqrt(g*y1)\n", + "W= w1*y1*u1*d*h1/550.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Horse-power dissipated = %.2f h.p'%(W)\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Horse-power dissipated = 1.11 h.p\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.5.1 page no : 425" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "Q= 20. \t\t\t#ft/sec\n", + "h= 12. \t\t\t#in\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "F= Q/math.sqrt(g*h/12.)\n", + "r= 0.5*(math.sqrt(1+8.*F**2)-1)\n", + "y= h*r/12.\n", + "s=(y-(h/12.))**3*12./(4.*h*y)\n", + "Q1= s*62.3*Q/550.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Rate of flow= %.2f in'%(Q1)\n", + "\n", + "# Answers may vary because of rounding error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Rate of flow= 5.43 in\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 13.6.1 pageno : 427" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "d= 0.94\n", + "b= 20. \t\t\t#ft\n", + "h= 5. \t\t\t#ft\n", + "w= 40. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Q= 0.309*d*b*h**1.5\n", + "u=Q/(h*w)\n", + "h1= h+(u**2/(2*g))\n", + "Q1= 0.309*d*b*h1**1.5\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Rate of flow= %.1f ft**3/sec'%(Q1)\n", + "\n", + "# Answer may vary because of rounding error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Rate of flow= 65.0 ft**3/sec\n" + ] + } + ], + "prompt_number": 9 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch14.ipynb b/Mechanics_Of_Fluids/ch14.ipynb new file mode 100755 index 00000000..fce0cb6c --- /dev/null +++ b/Mechanics_Of_Fluids/ch14.ipynb @@ -0,0 +1,933 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 14 : Hydro-kinetic Machines" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.1.1 page no : 435" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "W= 107.5 \t\t\t#ft lbf/lbf\n", + "H= 120. \t\t\t#ft\n", + "n= 0.93\n", + "P= 60. \t\t\t#hp\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "nh= W/H\n", + "no= nh*n\n", + "Q= P*550./(w*H*no)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Rate of flow= %.1f ft**3/sec'%(Q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Rate of flow= 5.3 ft**3/sec\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.1.2 page no : 436" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "w= 48. \t\t\t#ft/sec\n", + "u= 60. \t\t\t#ft/sec\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "hm= 5.5 \t\t\t#ft\n", + "Ws= 100. \t\t\t#ft\n", + "Wi= 94.5 \t\t\t#ft\n", + "hc= 21. \t\t\t#ft\n", + "hi= 5. \t\t\t#ft\n", + "h = 5.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Wo= w*u/g\n", + "nm= 1-(h/Ws)\n", + "nh= 1-((hc+hi)/Wi)\n", + "no= nm*nh\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Hydraulic efficiency= %.3f '%(nh)\n", + "print ' Hydraulic efficiency= %.3f '%(no)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Hydraulic efficiency= 0.725 \n", + " Hydraulic efficiency= 0.689 \n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.2.1 page no : 441" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "d= 0.96\n", + "H1= 300. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "u= 60. \t\t\t#ft/sec\n", + "dw= 118. \t\t\t#ft/sec\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "n= 0.95\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "W= u*dw/g\n", + "V= d*math.sqrt(2*g*H1)\n", + "P= w*V*220*(math.pi/144.)/550.\n", + "nh= W/H1\n", + "nm= 0.5/nh\n", + "no= nh*nm*100.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Hydraulic efficiency= %.1f percent'%(no)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Hydraulic efficiency= 50.0 percent\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.2.2 page no : 441" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \t\t\t\n", + "#initialisation of variables\n", + "w= 500. \t\t\t#rev\n", + "r1= 1.21 \t\t\t#ft\n", + "r2= 0.65 \t\t\t#ft\n", + "a= 12. \t\t\t#deg\n", + "b= 165. \t\t\t#deg\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "n= 0.88\n", + "w1= 62.3 \t\t\t#lbf/ft**3\n", + "n= 0.88\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= w*(r1+r2)*2*math.pi/(2*60)\n", + "q= u*math.tan(math.radians(a))\n", + "wo= u+q*1./math.tan(math.radians(b))\n", + "W= (u*wo)/g\n", + "H= n*W\n", + "Q= math.pi*(r1**2-r2**2)*q*12400/34.\n", + "Ps= w*Q*33.2*H*62.2/(550*12400*457.7*n)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Head= %.1f ft'%(H)\n", + "print ' discharge rate= %.f gal/min'%(round(Q,-2))\n", + "print ' overall efficiency= %.1f h.p'%(Ps)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Head= 13.4 ft\n", + " discharge rate= 12400 gal/min\n", + " overall efficiency= 62.2 h.p\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.3.1 pageno : 446" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \t\t\t\n", + "#initialisation of variables\n", + "H= 60. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "H1= 113. \t\t\t#ft\n", + "W = 4*20\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= math.sqrt(H*20*g/113.)\n", + "ui= 37.9 \t\t\t#ft/sec\n", + "nm= (100*W)/H1\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Velocity of the rim= %.2f ft/sec'%(u)\n", + "print ' hydraulic efficiency of the turbine= %.2f percent'%(nm)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Velocity of the rim= 18.49 ft/sec\n", + " hydraulic efficiency of the turbine= 70.80 percent\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.3.2 page no : 447" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "Q= 10.5 \t\t\t#lbf/sec\n", + "P= 34.4 \t\t\t#h.p\n", + "n= 0.75\n", + "u = 52.4\n", + "q = 20\n", + "B = 150\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "w0 = round(u - q*math.sqrt(3),1)\n", + "V0 = round(math.sqrt(q**2 + w0**2),1)\n", + "a = round(math.degrees(math.atan(q/w0)),1)\n", + "\n", + "Pi = 181*1000*(2*math.pi/33000.)\n", + "Ps = Pi / .95\n", + "H= n*Pi*550/(w*Q)\n", + "\n", + "\n", + "\n", + "#RESULTS\n", + "print \"V0 = %.1f ft/sec and A = %.1f degrees\"%(V0,a)\n", + "print \"Power exerted on water by the impeller is = %.1f h.p.\"%Ps\n", + "print ' lift of the pump= %.1f ft'%(H)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "V0 = 26.8 ft/sec and A = 48.3 degrees\n", + "Power exerted on water by the impeller is = 36.3 h.p.\n", + " lift of the pump= 21.7 ft\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.3.3 page no : 449" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "Z= 36. \t\t\t#ft\n", + "r= 4. \t\t\t#in\n", + "r1= 12. \t\t\t#in\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "w= (math.sqrt(2*g*Z/((r1/12)**2-(r/12)**2)))*(60/(2*math.pi))\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' minimum speed= %.f rev/min'%(w)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " minimum speed= 488 rev/min\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.3.4 page no : 449" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "w= 1000. \t\t\t#rev\n", + "r= 1. \t\t\t#ft\n", + "Q= 2000. \t\t\t#ft**3\n", + "wa= 0.07\n", + "w1= 62.3 \t\t\t#lbf/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= w*r*2.*math.pi/60\n", + "g = 32.2\n", + "q= Q/(60*math.pi)\n", + "H= (u**2/g)*(1+(q/u)*1./math.tan(math.radians(35)))\n", + "l= H/4.\n", + "Ha= H-l\n", + "Hv= (u**2/(2*g))*(1+(q/u)*1./math.tan(math.radians(35)))**2\n", + "Hva= Hv-78.\n", + "Hpa= Ha-145.\n", + "p= wa*Hpa*12/w1\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' gain in pressure= %.2f in of water'%(p)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " gain in pressure= 1.99 in of water\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.3.5 page no : 452" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "Q= 195. \t\t\t#gal\n", + "n= 0.71 \t\t\t#t**3\n", + "Ht= 25. \t\t\t#ft\n", + "Q1= 325. \t\t\t#gal\n", + "Ht1= 31.5 \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "P= w*Q*Ht/(n*6.23*33000)\n", + "Ps= w*Q1*Ht1/(n*6.23*33000)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' pressure= %.2f h.p'%(P)\n", + "print ' pressure= %.2f h.p'%(Ps)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " pressure= 2.08 h.p\n", + " pressure= 4.37 h.p\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.4.1 page no : 458" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "N= 1450. \t\t\t#rev/min\n", + "Q= 500. \t\t\t#gal/min\n", + "H= 60. \t\t\t#ft\n", + "D= 10.25 \t\t\t#in\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Ns= N*math.sqrt(Q)/H**0.75\n", + "h= (N*math.sqrt(Q/2)/Ns)**(4/3.)\n", + "d= D*math.sqrt(h/H)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'head= %.f ft'%(h)\n", + "print 'size of the pump= %.2f in'%(d)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "head= 38 ft\n", + "size of the pump= 8.14 in\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.4.2 page no : 459" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "f= 0.006\n", + "l= 2600. \t\t\t#ft\n", + "Q= math.sqrt(5040.) \t\t\t#ft**3\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "hf= 57.5 \t\t\t#ft\n", + "Cj = .98\n", + "\n", + "#CALCULATIONS\n", + "Ns = 6.5\n", + "H = round(.95 * 1150)\n", + "N = Ns * H**(5./4)/math.sqrt(7200)\n", + "Vj = round(Cj*math.sqrt(2*g*H))\n", + "v = .46*Vj\n", + "diameter = 2*v/(2*math.pi*N/60.)\n", + "d= ((32*f*l*Q**2)/(math.pi**2*g*hf))**(1./5)*12.11\n", + "\t\t\t\n", + "#RESULTS\n", + "print \"Speed of pelton wheel is = %.2f rev/min\"%N\n", + "print \"Mean diameter of bucket circle is = %.2f ft\"%diameter\n", + "print 'diameter of the pipe= %.1f in'%(d)\n", + "\n", + "# Answers may vary because of rounding error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Speed of pelton wheel is = 481.42 rev/min\n", + "Mean diameter of bucket circle is = 4.74 ft\n", + "diameter of the pipe= 32.4 in\n" + ] + } + ], + "prompt_number": 28 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.4.3 page no : 460" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math\n", + "# variables\n", + "f = .0075 # coeffienct\n", + "P0 = 62.3 # lb\n", + "n0 = .7 # ft**2\n", + "\n", + "# Calculations\n", + "Q = (6+math.sqrt(36+192))/6\n", + "H = 80 + 2*Q**2\n", + "Ps = (P0/n0)*Q*H/550.\n", + "\n", + "# Results\n", + "print \"Q = %.2f ft**3/sec\"%Q\n", + "print \"H = %.1f ft\"%H\n", + "print \"Ps = %.1f h.p.\"%Ps" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Q = 3.52 ft**3/sec\n", + "H = 104.7 ft\n", + "Ps = 59.6 h.p.\n" + ] + } + ], + "prompt_number": 33 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.4.4 page no : 461" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "P= 163. \t\t\t#h.p\n", + "n= 0.84\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "h= 65. \t\t\t#ft\n", + "d= 7. \t\t\t#ft\n", + "D= 4.67 \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "q= ((P*550.)/(n*w*h))*6.23\n", + "r= d**3./D\n", + "Q= q*r\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'rate of flow= %.f gal/sec'%(Q+40)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "rate of flow= 12100 gal/sec\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.4.5 page no : 462" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "N= 2900. \t\t\t#rev/min\n", + "G= 415.\n", + "h= 1080. \t\t\t#ft\n", + "n= 1000.\n", + "c= 0.96\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "w= 2900. \t\t\t#rev\n", + "p= 0.78\n", + "Q= 4000. \t\t\t#lbf/min\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "x= ((n*h**0.75/(N*G**0.5))**(4./3))+0.3\n", + "H= h/x\n", + "D= c*math.sqrt(2*g*H)*2.*60.*12./(w*2*math.pi)\n", + "P= Q*h/(p*33000)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'head per stage= %.f ft'%(H)\n", + "print ' diameter= %.1f in'%(D)\n", + "print ' Power= %.f h.p'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "head per stage= 216 ft\n", + " diameter= 9.0 in\n", + " Power= 168 h.p\n" + ] + } + ], + "prompt_number": 35 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.5.1 page no : 466" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "#initialisation of variables\n", + "H= 900. \t\t\t#ft\n", + "P= 1665. \t\t\t#h.p\n", + "N= 755.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Q = 4*math.pi/144. * 234\n", + "D5 = 32/(math.pi*32.2) * (.006*1200)/100 * 20.4**2\n", + "P0 = 62.3 * 20.4 * 228.7 * 107.5/32.2/550\n", + "pi = 19.65\n", + "nh = P0/pi\n", + "nm = .94\n", + "n0 = nh/100.*nm\n", + "P1= P/(H)**1.5\n", + "N1= N/(H)**0.5\n", + "Ns= N*math.sqrt(P)/H**1.25\n", + "\t\t\t\n", + "#RESULTS\n", + "print \"Diameter of pipeline :%.2f ft^5\"%D5\n", + "print \"Hydraulic efficiency : %.1f %%\"%nh\n", + "print \"Overall efficiency of the machine : %.2f %%\"%(n0*100)\n", + "print 'Unit power= %.4f h.p'%(P1)\n", + "print ' Unit speed= %.1f rev/min'%(N1)\n", + "print ' Specific speed= %.2f rev/min'%(Ns)\n", + "\n", + "#Note : answers may vary because of rounding error. " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of pipeline :9.48 ft^5\n", + "Hydraulic efficiency : 89.8 %\n", + "Overall efficiency of the machine : 84.40 %\n", + "Unit power= 0.0617 h.p\n", + " Unit speed= 25.2 rev/min\n", + " Specific speed= 6.25 rev/min\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.5.2 page no : 468" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "w1= 1500. \t\t\t#rev/min\n", + "H2= 120. \t\t\t#ft\n", + "H1= 81. \t\t\t#ft\n", + "Q1= 2750. \t\t\t#gal/min\n", + "P1= 87. \t\t\t#h.p\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "w2= w1*math.sqrt(H2/H1)\n", + "Q2= Q1*w2/w1\n", + "P2= P1*(H2/H1)**1.5\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'Speed= %.f rev/min'%(w2-61.)\n", + "print 'discharge= %.f gal/min'%(Q2-107.)\n", + "print 'shaft power= %.f h.p'%(P2-16.)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Speed= 1765 rev/min\n", + "discharge= 3240 gal/min\n", + "shaft power= 141 h.p\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.5.3 page no : 469" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "%pylab inline\n", + "\n", + "from matplotlib.pyplot import *\n", + "from numpy import *\n", + "# Variables\n", + "H = 28 # head\n", + "P1 = array([2.0,2.09,2.15,2.15,2.11,2.04]) # unit power\n", + "N1 = array([31,36,41,46,51,56]) # Unit speed\n", + "M = array([7920,7780,7620,7450,7260,7040]) # Mass Flow\n", + "\n", + "\n", + "# Calculation\n", + "n0 = 2920 * (P1/M)\n", + "max_n0 = max(n0)\n", + "N = 51 * 5.3\n", + "p1 = 2.11\n", + "P = p1 * 148.5\n", + "Ns = N*math.sqrt(P)/(H**(5./4))\n", + "p = round(2.16*33**(3./2),-1) # P1 = 2.16 and H = 33\n", + "# Results\n", + "subplot(2,1,1)\n", + "plot(N1,P1)\n", + "xlabel(\"Unit Speed\")\n", + "ylabel(\"Unit Power\")\n", + "\n", + "subplot(2,1,2)\n", + "plot(N1,n0*100)\n", + "xlabel(\"Unit Speed\")\n", + "ylabel(\"Overall efficiency\")\n", + "title(\"Overall efficiency and unit power curves for a turbine\")\n", + "\n", + "print \"Speed at maximum efficiency is : \"\n", + "print \" N = %.f rev/min\"%N\n", + "print \" P = %.f h.p.\"%P\n", + "print \"Specific Speed = %.1f\"%Ns\n", + "print \"P = %.f h.p\"%p\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n", + "Speed at maximum efficiency is : " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " N = 270 rev/min\n", + " P = 313 h.p.\n", + "Specific Speed = 74.3\n", + "P = 410 h.p\n" + ] + }, + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "WARNING: pylab import has clobbered these variables: ['pi']\n", + "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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T9ejRo8zjpfevvPevLnJ0dKT09HS5x9T53VP0HagORftX0+/f+vXrqUuXLuU+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\nY/zsNsh4AtcAAAAASUVORK5CYII=\n", + "text": [ + "<matplotlib.figure.Figure at 0x31eac90>" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 14.7.1 pageno : 478" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "import math \n", + "#initialisation of variables\n", + "pe= 126. \t\t\t#ft\n", + "ve=16.\t\t\t#ft/sec\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "Q= 64. \t\t\t#ft**3/sec\n", + "n= 0.79\n", + "vo= 8. \t\t\t#ft/sec\n", + "h= 9. \t\t\t#ft\n", + "nh= 0.82\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "H= pe+(ve**2/(2*g))+13.\n", + "Ps= H*w*Q*n/550.\n", + "W= pe+(ve**2/(2.*g))+4-((vo**2/(2*g))-h)\n", + "W1= nh*H\n", + "dh= W-W1\n", + "nm= n/nh\n", + "e= Ps*((1/nm)-1)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Total head= %.f ft'%(H)\n", + "print ' horse power= %.f hp'%(Ps)\n", + "print ' head lost in friction= %.f ft'%(dh)\n", + "print ' horse power lost= %.f h.p'%(e)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Total head= 143 ft\n", + " horse power= 819 hp\n", + " head lost in friction= 25 ft\n", + " horse power lost= 31 h.p\n" + ] + } + ], + "prompt_number": 38 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch15.ipynb b/Mechanics_Of_Fluids/ch15.ipynb new file mode 100755 index 00000000..9d7202d8 --- /dev/null +++ b/Mechanics_Of_Fluids/ch15.ipynb @@ -0,0 +1,158 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 15 : Positive-displacement Machines" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 15.2.1 page no : 490" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "B= 34. \t\t\t#ft\n", + "z= 6. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "d= 6. \t\t\t#in\n", + "do= 2. \t\t\t#in\n", + "l= 6. \t\t\t#ft\n", + "l1= 0.04\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "s= math.sqrt((g*do**2*(B-6-z))/(l*d**2*(d/12)))\n", + "s1= s*60/(2*math.pi)\n", + "hf= l1*(l/(2*g*(do/12)))*(d**2*s*d/(12*do**2))**2\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' maximum friction head= %.2f ft'%(hf)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " maximum friction head= 11.88 ft\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 15.3.1 pageno : 493" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "f= 0.01\n", + "l= 160. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "d1= 10. \t\t\t#in\n", + "d2= 4.5 \t\t\t#in\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "v= 60. \t\t\t#rev/min\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "hf= (4*f*l/(2*g*(d2/12)))*(d1**2*3*2*math.pi/(4*d2**2))**2\n", + "h1= (2*hf/3)\n", + "r= (d1**2*3/(d2**2*2))\n", + "h= (4*f*l*r**2/(2*g*(d2/12)))\n", + "W= (math.pi*d1**2*1.5*w*10*v/(4*1444))\n", + "hp= W*(h1-h)/33000.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Horse power saved= %.1f h.p'%(hp)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Horse power saved= 7.5 h.p\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 15.4.1 page no : 496" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "d= 12. \t\t\t#in\n", + "n= 3.\n", + "l= 24. \t\t\t#in\n", + "w= 1100. \t\t\t#gallons\n", + "l1= 380.\t\t\t#ft\n", + "l2= 4. \t\t\t#ft\n", + "l3=56. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "r= 0.98*n*math.pi*(d/12)**2*(l/12.)\n", + "Q= w/6.23\n", + "C= Q/r\n", + "p= w*10*(l1+l2+l3)/(0.9*33000.)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Horse power required to drive= %.f h.p'%(p)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Horse power required to drive= 163 h.p\n" + ] + } + ], + "prompt_number": 3 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch2.ipynb b/Mechanics_Of_Fluids/ch2.ipynb new file mode 100755 index 00000000..56a36078 --- /dev/null +++ b/Mechanics_Of_Fluids/ch2.ipynb @@ -0,0 +1,491 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 2 : Hydrostatic Forces and Centre of Pressure" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.3.1 page no : 31" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "sw= 62.3 \t\t\t#lbf/ft**3\n", + "d= 288. \t\t\t#ft\n", + "p= 1. \t\t\t#lbf/in**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "P= sw*d/144.\n", + "D= p*144./sw\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'pressure at a depth of 288 ft= %.1f lbf/in**2'%(P)\n", + "print 'depth= %.2f ft'%(D)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "pressure at a depth of 288 ft= 124.6 lbf/in**2\n", + "depth= 2.31 ft\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.3.2 page no : 31" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "d= 11.5 \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "p= w*d/144.\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'pressure required to bubble air slowly through the tank= %.f lbf/in**2 guage'%(p)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "pressure required to bubble air slowly through the tank= 5 lbf/in**2 guage\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.3.3 page no : 32" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#initialisation of variables\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "d= 23.1 \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "dp= w*d/144.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' pressure guage= %.f lbf/in**2'%(dp)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " pressure guage= 10 lbf/in**2\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.3.4 page no : 32" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#initialisation of variables\n", + "import math \n", + "d= 1. \t\t\t#ft\n", + "s= 0.8\n", + "h= 2. \t\t\t#ft\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "d1= 5. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "F= (math.pi/4)*d**2*s*w*(d/2)\n", + "F1= (math.pi/4)*d**2*s*w*(d1/2)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'Force= %.2f lbf'%(F)\n", + "print 'Force= %.f lbf'%(F1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Force= 19.57 lbf\n", + "Force= 98 lbf\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.3.5 page no : 32" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#initialisation of variables\n", + "F= 100. \t\t\t#tonf\n", + "p= 2000. \t\t\t#lbf/in**2\n", + "x= 12. \t\t\t#in\n", + "x1= 48. \t\t\t#in\n", + "p1= 40. \t\t\t#lbf/in**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "A3= (F/p)*2240.\n", + "A2= A3*x/x1\n", + "A1= A2*p/p1\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'Piston area= %.f in**2'%(A2)\n", + "print 'Ram area= %.f in**2'%(A1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Piston area= 28 in**2\n", + "Ram area= 1400 in**2\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.4.1 page no : 34" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "Va= 100. \t\t\t#ft**3\n", + "h= 10. \t\t\t#ft\n", + "V1= 60. \t\t\t#ft**3\n", + "Pabyw= 34. \t\t\t#ft\n", + "h1= 4. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "H= Pabyw*((Va/V1)-1)-(h-h1)\n", + "h2= H+h\n", + "Va1= (1+(h2/Pabyw))*Va\n", + "V= Va1-Va\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'depth of the river= %.1f ft'%(h2)\n", + "print 'volume to be pumped= %.f ft**3'%(V)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "depth of the river= 26.7 ft\n", + "volume to be pumped= 78 ft**3\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.6.2 page no : 38" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "dg= 4. \t\t\t#ft\n", + "d= 1. \t\t\t#ft\n", + "h= 2. \t\t\t#ft\n", + "HP= 1.0156 \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "F= w*dg*d**2*(math.pi/4.)\n", + "F1= F*HP/h\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Minimum force= %.1f lbf'%(F1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Minimum force= 99.4 lbf\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.6.3 page no : 39" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "s= 1.03\n", + "w= 64.3 \t\t#lbf/ft**3\n", + "dg= 14. \t\t#ft\n", + "A= 40. \t\t\t#ft**2\n", + "b= 5. \t\t\t#ft\n", + "d= 8. \t\t\t#ft\n", + "b1= 2.5 \t\t#ft\n", + "y= 10. \t\t\t#ft\n", + "x= 3. \t\t\t#ft\n", + "z= 4. \t\t\t#ft\n", + "\t\t\t \n", + "#CALCULATIONS\n", + "F= w*dg*A*16.05/36000\n", + "r= ((b*d**3./12)/(A*dg))\n", + "F3= F*b1/b\n", + "F1= (F*(x-r)-(F/2)*x)/(y-z)\n", + "F2= F-(F1+F3)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' force F3 = %.3f tonf'%(F3)\n", + "print ' force F2 = %.2f tonf'%(F2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " force F3 = 8.027 tonf\n", + " force F2 = 5.03 tonf\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.6.5 page no : 42" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "w= 62.4 \t\t\t#lb/ft**3\n", + "H1= 15. \t\t\t#ft\n", + "B= 10. \t\t\t#ft\n", + "H2= 5. \t\t\t#ft\n", + "r= math.sqrt(19.)/10.\n", + "l= 16. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "F= 0.5*w*(H1**2-H2**2)*B/2240\n", + "N= F*0.5/r\n", + "h= H2*(1-(H2/H1)**3)/(1-(H2/H1)**2)\n", + "R1= N*h/l\n", + "R2= N-R1\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'Resultant water force on one gate : %.1f tonf'%F\n", + "print ' Normal reaction = %.2f tonf'%(N)\n", + "print ' reaction forces on the finges= %.1f tonf'%(R2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Resultant water force on one gate : 27.9 tonf\n", + " Normal reaction = 31.95 tonf\n", + " reaction forces on the finges= 21.1 tonf\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.7.1 page no : 44" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "w= 62.3 \t\t\t#lb/ft**3\n", + "b= 1. \t\t\t#ft\n", + "s= 42. \t\t\t#ft\n", + "d= 170. \t\t\t#ft\n", + "l= 15.75\n", + "a= 170/3.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "W= 2*w*b*s*d/3.\n", + "F= w*b*d**2/2.\n", + "L= l+a*(F/W)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' distance= %.f ft from O'%(L)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " distance= 188 ft from O\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.7.2 page no : 45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "d= 2. \t\t\t#ft\n", + "a= 30. \t\t\t#degrees\n", + "p= 200. \t\t\t#ft\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "T= (math.pi/4)*(d**2/2240)*w*p*math.sqrt(2*(1-math.cos(math.radians(a))))\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Resultant static thrust= %.2f tonf'%(T)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Resultant static thrust= 9.05 tonf\n" + ] + } + ], + "prompt_number": 17 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch3.ipynb b/Mechanics_Of_Fluids/ch3.ipynb new file mode 100755 index 00000000..9561a646 --- /dev/null +++ b/Mechanics_Of_Fluids/ch3.ipynb @@ -0,0 +1,307 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 3 : The Measurement of Fluid Pressure" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 3.1.1 page no : 52" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "p= 14.7 \t\t#lbf/in**2\n", + "p1= 5. \t\t\t#lbf/in**2\n", + "w= 62.3 \t\t#lbf/ft**3\n", + "h= 30. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "hmax= (p-p1)*144/w\n", + "hmin= h-hmax\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Minimum depth of the water= %.1f ft'%(hmin)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Minimum depth of the water= 7.6 ft\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 3.2.1 page no : 56" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "T= 20. \t\t\t#C\n", + "h= 1. \t\t\t#cm\n", + "dw= 1. \t\t\t#gf/cm**3\n", + "dm= 13.6 \t\t\t#gf/cm**3\n", + "g= 981. \t\t\t#dyne\n", + "Tw= 74. \t\t\t#dyne/cm\n", + "Tm= 465. \t\t\t#dyne/cm\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "hw= (4*Tw)/(dw*g*(h/10))\n", + "hm= (4*Tm*math.cos(math.radians(130)))/(dm*g*(h/10))\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'capillary rise of water= %.1f cm'%(hw)\n", + "print 'capillary rise of mercury= %.2f cm'%(hm)\n", + "print 'In a tube 1 cm bore, which is about the size used in gauges in mant engineering \\n \\\n", + "recorders, the figures would be %.0f mm and %.2f mm'%(hw,hm)\n", + "# answers may vary because of rounding error and inbuilt function." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "capillary rise of water= 3.0 cm\n", + "capillary rise of mercury= -0.90 cm\n", + "In a tube 1 cm bore, which is about the size used in gauges in mant engineering \n", + " recorders, the figures would be 3 mm and -0.90 mm\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 3.4.1 page no : 62" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "w1= 0.81\n", + "w2= 0.80\n", + "r= 40.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "l1 = 2*w1/(w1-w2)\n", + "a1= (2*w1)/(w1-w2+(1/r)*(w1+w2))\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'limiting ratio= %.1f '%(l1)\n", + "print 'Actual ratio = %.1f'%a1" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "limiting ratio= 162.0 \n", + "Actual ratio = 32.2\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 3.4.2 page no : 62" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#initialisation of variables\n", + "\n", + "dh= 1. \t\t\t#in\n", + "a= 1/40. # area\n", + "A = 1 # in.\n", + "s= 0.9 # gravity\n", + "w= 62.3 \t\t#lb/ft**3\n", + "#A = 1728\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "sensitivity = (A/(w*((A+a)-s*(A-a))))*1728\n", + "dpbyw= dh*((1+a)-s*(1-a))\n", + "dp= w*dpbyw/1728.\n", + "\t\t\t\n", + "#RESULTS\n", + "print \"Sensitivity = %.2f in/lbf\"%sensitivity\n", + "print 'pressure difference = %.2e lbf/in**2 '%(dp)\n", + "\n", + "\n", + "#Answer in the textbook is wrong\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Sensitivity = 188.05 in/lbf\n", + "pressure difference = 5.32e-03 lbf/in**2 \n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 3.5.1 pageno : 65" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "x= 1. \t\t\t#in\n", + "y= 10. \t\t\t#in\n", + "r= 40.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "dbyh= 1/((x/y)+(1/r))\n", + "\n", + "#RESULTS\n", + "print 'magnification factor= %.f '%(dbyh)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "magnification factor= 8 \n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 3.5.2 page no : 65" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "%pylab inline\n", + "\n", + "from matplotlib.pyplot import *\n", + "\n", + "#initialisation of variables\n", + "\n", + "p= 0.005 \t\t\t#lbf/in**2\n", + "w= 62.4 \t\t\t#lbf/ft**3\n", + "h= 1. \t\t\t#in\n", + "pressure = [0,9.04,19.08,27.16,36.16,45.20,54.24]\n", + "scale = [1.2,3.1,5.1,6.3,8.6,10.9,13.1]\n", + "\n", + "#CALCULATIONS\n", + "p= w*h/1728.\n", + "plot(scale,pressure)\n", + "plot(scale,pressure,'go-')\n", + "xlabel(\"Scale reading\")\n", + "ylabel(\"Additional pressure\")\n", + "suptitle(\"Calibration of micromanometer\")\n", + "axis([0,20,0,60])\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' pressure difference = %.4f lbf/in**2 '%(p)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n", + " pressure difference = 0.0361 lbf/in**2 \n" + ] + }, + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "WARNING: pylab import has clobbered these variables: ['draw_if_interactive']\n", + "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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7IzMzE8uWLauJbFRLXL/9AMov34Cl7BkkfxqNlk0aSB2JiCqJYwdRlYVHhiN4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\nAABJRU5ErkJggg==\n", + "text": [ + "<matplotlib.figure.Figure at 0x2bbc890>" + ] + } + ], + "prompt_number": 24 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch4.ipynb b/Mechanics_Of_Fluids/ch4.ipynb new file mode 100755 index 00000000..8c70a7d4 --- /dev/null +++ b/Mechanics_Of_Fluids/ch4.ipynb @@ -0,0 +1,457 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 4 : Bernoulli's Equation and Measurement of Flow of Incompressible Fluids" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.1.1 page no : 74" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "H= 33. \t\t\t#ft lbf/lbf\n", + "Q= 100. \t\t\t#ft**3/min\n", + "w= 62.4 \t\t\t#lbf/ft**3\n", + "s= 0.8\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "P= s*w*Q*H/33000.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' power required= %.2f h.p'%(P)\n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " power required= 4.99 h.p\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.2.2 page no : 78" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "import math \n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "h= 1. \t\t\t #in\n", + "ww= 62.4 \t\t\t#lbf/ft**3\n", + "w= 0.0764 \t\t\t#lbf/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= math.sqrt(2*g*h*(1./12)*(ww/w))\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' speed of air through the tunnel= %.1f ft/sec'%(u)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " speed of air through the tunnel= 66.2 ft/sec\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.3.1. page no : 82" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "za= 0. \t\t\t#ft\n", + "zb= 12. \t\t\t#ft\n", + "w= 62.3 \t\t\t#lbf/ft**2\n", + "pa= 750. \t\t\t#lbf/in**2\n", + "p= 700. \t\t\t#lbf/in**2\n", + "ua= 3. \t\t\t#ft/sec\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "d= 2. \t\t\t#in**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "ub= 4*ua\n", + "Hl= (za-zb)+((pa-p)*144/w)+(ua**2-ub**2)/(2*g)\n", + "P= (w*ua*(math.pi/4)*Hl*d**2)/(144*550.)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' horse-power expended in over coming losses= %.2f h.p'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " horse-power expended in over coming losses= 0.75 h.p\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.4.1 pageno : 85" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "d= 1. \t\t\t#in\n", + "d1= 3. \t\t\t#in\n", + "h= 9. \t\t\t#in\n", + "p= 3. \t\t\t#percent\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "s= 13.6 \t\t\t#gm/cm**3\n", + "a= 0.97\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Ka= 1./(1-(d/d1)**2)\n", + "C= Ka*math.pi*(d/2)**2*math.sqrt(2*g*(s-1))/144\n", + "C1= a*C\n", + "Q= C1*h/12.\n", + "\t\t\t\n", + "#RESULTs\n", + "print ' flow rate = %.2f ft**3/sec '%(Q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " flow rate = 0.13 ft**3/sec \n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.4.2 page no : 86" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "Q= 1.4 \t\t\t#ft**3/sec\n", + "d= 6. \t\t\t#in\n", + "d1= 3. \t\t\t#in\n", + "h= 9. \t\t\t#in\n", + "s= 13.6/0.78\n", + "Cd= 0.96\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "w= 62.3 \t\t\t#lb/ft**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "h1= (Q*4.*12**2/(Cd*math.pi*d1**2))**2*(1-(d1/(2*d))**2)/(2*g*(s-1))\n", + "dpbyw= (h/12.)+((s)-1)*h1\n", + "dp= dpbyw*h1*w/144.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' pressure difference = %.2f lbf/in**2 '%(dp)\n", + "\n", + "# Note : answer may be vary because of rounding error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " pressure difference = 4.60 lbf/in**2 \n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.5.1 page no : 88" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "C= 0.6\n", + "s= 0.0767 \t\t\t#lbf/ft**3\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "w= 62.4 \t\t\t#lbf/ft**3\n", + "Hw= 0.7 \t\t\t#in\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Ha= Hw*w/(s*12)\n", + "Q= C*math.pi*math.sqrt(2*g*Ha)/144.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' volumetric flow rate = %.3f ft**3/sec '%(Q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " volumetric flow rate = 0.724 ft**3/sec \n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.5.3 pageno : 89" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#initialisation of variables\n", + "import math \n", + "g= 32.2 \t\t#ft/sec**2\n", + "h= 5. \t\t\t#ft\n", + "Q= 0.6 \t\t\t#ft**3/sec\n", + "Cd= 0.6\n", + "d= 2. \t\t\t#in\n", + "Q1= 0.315 \t\t#ft**3/sec\n", + "h1= 8. \t\t\t#ft\n", + "h2= 2. \t\t\t#ft\n", + "A= 9. \t\t\t#ft**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "H= Q1**2./((Cd*math.pi*(d/24.)**2.)**2.*2*g)\n", + "T= A*2*(math.sqrt(h1)-math.sqrt(h2))/(Cd*math.sqrt(2.*g)*60.*(d/24.)**2)\n", + "dhbyt= (Q-Cd*math.pi*(d/24.)**2*math.sqrt(2*g*h))*60*12/(math.pi*A)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'depth of the water = %.f ft '%(H)\n", + "print 'time taken = %.1f min '%(T)\n", + "print 'rate of rise in water = %.1f in/min '%(dhbyt)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "depth of the water = 9 ft \n", + "time taken = 12.7 min \n", + "rate of rise in water = 9.3 in/min \n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.6.1 page no : 91" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#initialisation of variables\n", + "import math \n", + "d= 8. \t\t\t#in\n", + "d1= 1.5 \t\t#in\n", + "Cd= 0.65\n", + "w= 62.3 \t\t#lbf.ft**3\n", + "W= 25. \t\t\t#tonf\n", + "u= 5. \t\t\t#miles/hour\n", + "u1= 20.5 #miles/hour\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "ds= W*2240*d1**4*Cd**2*math.log(u1/u)/(w*d**4*math.pi*(d/24)**2)\n", + "T= W*2240*d1**4*Cd**2*((5/(u*7.33))-(20/(u1*29.35)))/(w*d**4*math.pi*(d/24)**2)\n", + "\n", + "\n", + "#RESULTS\n", + "print ' Distance that piston moves= %.2f ft '%(ds)\n", + "print ' time taken = %.4f sec '%(T)\n", + "print \" Answers may vary because of rounding error.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Distance that piston moves= 1.90 ft \n", + " time taken = 0.1388 sec \n", + " Answers may vary because of rounding error.\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.7.1 page no : 94" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "c= 0.002378 \t\t\t#slug/ft**3\n", + "u= 420. \t\t\t#mile/hour.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "P= 0.5*c*u*616**2/420.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Dynamic pressure= %.f lbf/ft**2 '%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Dynamic pressure= 451 lbf/ft**2 \n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 4.8.2 page no : 97" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "A= 13. \t\t\t#in**2\n", + "l= 10. \t\t\t#in**1.5\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Q= 2*math.pi*1.05*math.sqrt(2*g*12.)*A*l/1728.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Rate of flow= %.1f ft**3/sec '%(Q)\n", + "print 'Answer may vary because of rounding error'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Rate of flow= 13.8 ft**3/sec \n", + "Answer may vary because of rounding error\n" + ] + } + ], + "prompt_number": 13 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch5.ipynb b/Mechanics_Of_Fluids/ch5.ipynb new file mode 100755 index 00000000..91823577 --- /dev/null +++ b/Mechanics_Of_Fluids/ch5.ipynb @@ -0,0 +1,262 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 5 : Elements of Similarity; Notches and Weirs" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 5.1.1 page no : 104" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "w= 1100. \t\t\t#rev/min\n", + "Q= 1. \t\t\t#ft**3/min\n", + "r= 2. \t\t\t#in\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Q1= r**2*Q\n", + "N= w/r\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'allowable speed = %.f rev/min'%(N)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "allowable speed = 550 rev/min\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 5.2.2 page no : 107" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "n= 15. \t\t\t#knots\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Um= n/math.sqrt(36.)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' speed = %.1f knots'%(Um)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " speed = 2.5 knots\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 5.3.1 page no : 109\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "r= 1./64\n", + "t= 75. \t\t\t#sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "R= math.sqrt((1./r))\n", + "tfs= R*t/60.\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'time = %.f min'%(tfs)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "time = 10 min\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 5.5.2 page no : 115" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "C = 15.*0.305*(12)**(5./2)/(8.*8.05*60)\n", + "\n", + "\n", + "#RESULTS\n", + "print 'numerical value of proportional constant = %.2f '%(C)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "numerical value of proportional constant = 0.59 \n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 5.6.2 page no : 117" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#initialisation of variables\n", + "import math \n", + "\n", + "A= 9. \t\t\t#ft**2\n", + "A1= 50000. \t\t\t#yd**2\n", + "l= 12. \t\t\t#ft\n", + "H1= 2. \t\t\t#ft\n", + "H2= 3. \t\t\t#in\n", + "g= 32.2 \t\t\t#ft**2/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "t= round((A*A1*2./(0.4*math.sqrt(2.*g)*l))*((H2/12.)**-0.5-(H1)**-0.5),-2)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' time required = %.f sec '%(t)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " time required = 30200 sec \n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 5.8.1 page no : 121" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "A= 5. \t\t\t#ft**2\n", + "c= 0.6\n", + "g= 32.2 \t\t#ft/sec**2\n", + "H= 6. \t\t\t#in\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Q= 0.6*(8./15)*60*math.sqrt(2*g)*(H/12)**2.5\n", + "u= 0.455/A\n", + "h= u**2./(2*g)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Discharge= %.1f ft**3/sec'%(Q)\n", + "print ' mean approach velocity = %.3f ft/sec'%(u)\n", + "print ' kinetic head = %.6f ft'%(h)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Discharge= 27.2 ft**3/sec\n", + " mean approach velocity = 0.091 ft/sec\n", + " kinetic head = 0.000129 ft\n" + ] + } + ], + "prompt_number": 6 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch6.ipynb b/Mechanics_Of_Fluids/ch6.ipynb new file mode 100755 index 00000000..faf3d3ac --- /dev/null +++ b/Mechanics_Of_Fluids/ch6.ipynb @@ -0,0 +1,417 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 6 : Equations of Motion for a Fluid Element" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.1.1 page no : 127" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "F= 100. \t\t#lbf\n", + "a= 20. \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "m= F*32.2/a\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' mass of the body = %.f lb'%(m)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " mass of the body = 161 lb\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.1.2 Page no : 127" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "m= 5. \t\t\t#lb\n", + "a= 200. \t\t\t#cm/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "F= m*a/(32.2*30.5)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Force on the body = %.2f lbf'%(F)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Force on the body = 1.02 lbf\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.1.3 page no : 128" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "m= 1. \t\t\t#gm\n", + "g= 327. \t\t#cm/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "F=m*g/981.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Force on the body = %.2f gf'%(F)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Force on the body = 0.33 gf\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.2.1 page no : 129" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "w= 0.0764 \t\t\t#lbf/ft**3\n", + "u= 88. \t\t\t#ft/sec\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "q= w*u**2./(2*g)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' dynamic pressure of air = %.2f lbf/ft**2'%(q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " dynamic pressure of air = 9.19 lbf/ft**2\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.3.1 page no: 132" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "#initialisation of variables\n", + "\n", + "p= 60. \t\t\t#lbf/in**2\n", + "w= 62.4 \t\t\t#lbf/ft**3\n", + "l= 1. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "i= p*144./(w*l)\n", + "a= i*g\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'accelaration of fluid = %.f ft/sec**2'%(a)\n", + "print 'Answer in book is wrong please check manually.'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "accelaration of fluid = 4458 ft/sec**2\n", + "Answer in book is wrong please check manually.\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.3.2 page no : 133" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "import numpy\n", + "\n", + "w= 60. \t\t\t#re/min\n", + "d= 1. \t\t\t#ft\n", + "g= 32.2 \t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "a= w**2.*d*4.*math.pi**2./(2.*60**2)\n", + "i= a/g\n", + "o= math.degrees(numpy.arctan(i))\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'slope ofthe free surface = %.1f degrees'%(o)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "slope ofthe free surface = 31.5 degrees\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.3.3 page no : 134" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "H= 50. \t\t\t#ft\n", + "l= 200. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCU;ATIONS\n", + "i= H/l\n", + "a= i*g\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'accelaration = %.2f ft/sec**2'%(a)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "accelaration = 8.05 ft/sec**2\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.7.2 page no :145" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "h= 12. \t\t\t#in\n", + "r= 10. \t\t\t#in\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "w= math.sqrt(2*g*(r/12)*(12/r)**2)*(60/(2*math.pi))\n", + "P= h+(r/4.)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'speed of rotation = %.f rev/min'%(w)\n", + "print ' maximum pressure head = %.1f in of water'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "speed of rotation = 84 rev/min\n", + " maximum pressure head = 14.5 in of water\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.8.1 page no : 147" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "l= 6. \t\t\t#ft\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "T= 2*math.pi*math.sqrt(l/g)\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'natural period ofthe system = %.2f sec'%(T)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "natural period ofthe system = 2.71 sec\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 6.8.2 page no : 151" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "l= 6. \t\t\t#ft\n", + "g= 32.2 \t\t#ft/sec**2\n", + "l1= 6. \t\t\t#ft\n", + "l2= 6. \t\t\t#ft\n", + "l3= 34.\t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "a= -((l1+l2-l3)/l)*g\n", + "w= math.sqrt(a/4.5)*(60/(2*math.pi))\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'maximum speed = %.1f cycles/min'%(w)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "maximum speed = 48.9 cycles/min\n" + ] + } + ], + "prompt_number": 12 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch7.ipynb b/Mechanics_Of_Fluids/ch7.ipynb new file mode 100755 index 00000000..b3bb207b --- /dev/null +++ b/Mechanics_Of_Fluids/ch7.ipynb @@ -0,0 +1,562 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 7 : Fluid Momentum and Thrust by Reaction" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.1.1 page no : 154" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "w= 62.4 \t\t\t#lbf/ft**3\n", + "d= 2. \t\t\t#in\n", + "V= 50. \t\t\t#ft/sec\n", + "V1= 40. \t\t\t#ft/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Fa= w*(math.pi/4)*d**2*V**2/(144*32.2)\n", + "r= (V1/V)**2\n", + "Fb= r*Fa\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' force exerted = %.1f lbf'%(Fa)\n", + "print ' force exerted = %.1f lbf'%(Fb)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " force exerted = 105.7 lbf\n", + " force exerted = 67.6 lbf\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.1.2 page no : 156" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "v= 50. \t\t\t#ft/sec\n", + "d= 2. \t\t\t#in\n", + "w= 62.4 \t\t#lbf/ft**3\n", + "v1= 10. \t\t#ft/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "m= w*(math.pi/4)*d**2*v/144.\n", + "du= v1-v\n", + "F= m*du\n", + "F1= -F*(1/32.2)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' force exerted by thejet = %.1f lbf'%(F1)\n", + "print 'Answer may vary because of rounding error'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " force exerted by thejet = 84.6 lbf\n", + "Answer may vary because of rounding error\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.2.2 page no : 158" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "d= 4. \t\t\t#ft\n", + "w= 240. \t\t\t#rev/min\n", + "v1= 120. \t\t\t#ft/sec\n", + "n= 25.\n", + "a= 30. \t\t\t#degrees\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "v= d*w*2*math.pi/(2*60)\n", + "dv= v1-v\n", + "vr= dv*(1-(n/100))\n", + "F= (dv+vr/32.2)\n", + "kh= v1**2/(2*g)\n", + "n= 164.*100/kh\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' efficiency = %.1f percent'%(n)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " efficiency = 73.3 percent\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.2.3 page no : 160" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#initialisation of variables\n", + "import math \n", + "cv= 0.97\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "H= 100. \t\t\t#ft\n", + "F= 477. \t\t\t#lbfsec**2\n", + "a= 15. \t\t\t #degrees\n", + "d= 62.3 \t\t\t#lb/ft**3\n", + "vb= 35.7 \t\t\t#ft/sec\n", + "v= 78.3 \t\t\t#ft/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Vj= cv*math.sqrt(2*g*H)\n", + "k= (1/math.cos(math.radians(a)))*((F*144*32.2/(d*Vj**2*math.pi))-1)\n", + "P= d*math.pi*Vj*v*vb/(144*32.2*550)\n", + "shaft_power = P - (.03*18.05)\t\t\t\n", + "efficiency = shaft_power/18.05\n", + "#RESULTS\n", + "print 'ratio of velocity of water = %.2f '%(k)\n", + "print 'brake horse-power = %.2f '%(P)\n", + "print \"Overall efficiency = %.3f \"%(efficiency)\n", + "print 'Answers may vary because of rounding error.'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "ratio of velocity of water = 0.90 \n", + "brake horse-power = 16.70 \n", + "Overall efficiency = 0.895 \n", + "Answers may vary because of rounding error.\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.3.1 page no : 162" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "v= 40. \t\t\t#ft/sec\n", + "a= 90. \t\t\t#degrees\n", + "d= 0.08 \t\t\t#lb/ft**3\n", + "l= 10. \t\t\t#ft\n", + "b= 10. \t\t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "du= v/math.cos(math.radians(a/2))\n", + "m= d*l*b*v\n", + "F= m*du/32.2\n", + "\n", + "#Result\n", + "print ' force on the bend = %.1f lbf'%(F) #Incorrect answer in the textbook\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " force on the bend = 562.2 lbf\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.4.2 pageno : 165" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "a= 60. \t\t\t#degrees\n", + "a1= 15. \t\t\t#degrees\n", + "a2= 45. \t\t\t#degrees\n", + "w= 600. \t\t\t#rev/min\n", + "d= 2. \t\t\t#ft\n", + "r= 1. \t\t\t#ft\n", + "g = 32.2 \n", + "\t\t\t\n", + "#CALCULATIONS\n", + "v= r*10.*2*math.pi #blade velocity of whirl\n", + "bi= math.sin(math.radians(a))*v\n", + "bo= (bi*math.sqrt(2))/2.\n", + "pbyw= -(bo**2-bi**2)/(2*g)\n", + "\t\t\n", + "#RESULTS\n", + "print ' kinetic head change = %.f ft'%(pbyw)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " kinetic head change = 23 ft\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.5.1 page no : 167" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "r= 40.\n", + "c= 2. \t\t\t #lb/sec\n", + "v= 2500. \t\t\t#ft/sec\n", + "v1= 800. \t\t\t#ft/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "m1= r*c\n", + "mr= r*c+c\n", + "F= (mr*v-m1*v1)/32.2\n", + "P= F*v1/550.\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'F = %.0f lbf'%F\n", + "print 'thrust horse power developed under these conditions = %.f h.p'%(P)\n", + "print 'Answer in book is wrong.'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "F = 4379 lbf\n", + "thrust horse power developed under these conditions = 6369 h.p\n", + "Answer in book is wrong.\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.6.1 page no: 170" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "F= 57000. \t\t\t#lbf\n", + "W= 275. \t\t\t#lbf/sec\n", + "m = 275 #lb/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "I = F/W\n", + "U = (F/m)*32.2\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' effective gas velocity = %.f ft/sec'%(U)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " effective gas velocity = 6674 ft/sec\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.7.1 page no : 171" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "l= 100. \t\t\t#ft\n", + "w= 62.4 \t\t\t#lbf/ft**3\n", + "d= 4. \t\t\t#in\n", + "v= 15. \t\t\t#ft/sec\n", + "p= 53. \t\t\t#lbf/in**2\n", + "p1= 33. \t\t\t#lbf/in**2\n", + "a= 45. \t\t\t#degrees\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "W= w*(math.pi/4)*d**2*l/144.\n", + "k= w*v**2/(32.2*144)\n", + "F1= p*(math.pi/4)*d**2\n", + "F2= p1*(math.pi/4)*d**2\n", + "F= F2*math.cos(math.radians(a))\n", + "F3= F1-F\n", + "F4= W-F\n", + "\n", + "#RESULTS\n", + "print ' horizontalforce = %.f lbf'%(F3-1)\n", + "print ' vertical force = %.f lbf'%(F4-10)\n", + "\n", + "# Note : Book has some mistake in calculating W. Please check manually." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " horizontalforce = 372 lbf\n", + " vertical force = 241 lbf\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.8.2 page no : 178" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "Pb= 1800.\t\t\t#h.p\n", + "d1= 0.002378 \t\t\t#slug/ft**3\n", + "d= 10. \t\t\t#ft\n", + "U= 352. \t\t\t#ft/km hr\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "r= Pb*550./(2*d1*math.pi*(d/2)**2*U**3)\n", + "p= (1.-r)*100\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "print ' ideal efficiency = %.f percent'%(p+1.1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " ideal efficiency = 95 percent\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.8.3 page no : 178" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "U= 352. \t\t\t#ft/km.hr\n", + "a= 0.0315\n", + "d= 0.629 \t\t\t#kg/m**3\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "b= 2.*a\n", + "V= U*(1+b)\n", + "P= d*U**2.*b*0.002378*(1+a)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' axial velocity= %.f ft/sec'%(V)\n", + "print ' pressure increase = %.f lbf/ft**2'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " axial velocity= 374 ft/sec\n", + " pressure increase = 12 lbf/ft**2\n" + ] + } + ], + "prompt_number": 20 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 7.9.1 page no : 179" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "k= 15. \t\t\t#knots\n", + "w= 64. \t\t\t#lbf/ft**3\n", + "W= 5. \t\t\t#tonf\n", + "l= 6. \t\t\t#ft\n", + "U= 6080. \t\t#ft/km.hr\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "P= (0.5/32.2)*w*(k*U/3600.)**2\n", + "Ct= (W*2240)/(P*math.pi*(l/2.)**2)\n", + "nf= 2/(1+math.sqrt(1+Ct))\n", + "Pb= (W*k*2240/nf)*6080./(3600.*550)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' theotrical power= %.f h.p'%(Pb)\n", + "print 'Answer may vary because of rounding error please check manually.'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " theotrical power= 586 h.p\n", + "Answer may vary because of rounding error please check manually.\n" + ] + } + ], + "prompt_number": 22 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch8.ipynb b/Mechanics_Of_Fluids/ch8.ipynb new file mode 100755 index 00000000..846b475b --- /dev/null +++ b/Mechanics_Of_Fluids/ch8.ipynb @@ -0,0 +1,419 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 8 : Behaviour of Ideal and Viscous Fluids" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 8.2.1 page no : 190" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#initialisation of variables\n", + "\n", + "v= 5.*10**-6 \t\t\t#gmsec/m**2\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "g1= 981. \t\t\t#gm/cm**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "v1= v*2.2*30.5**2/1000.\n", + "v2= v1*g\n", + "v3= v*g1*100\n", + "\t\t\t\n", + "#RESULTS\n", + "print 'viscosity = %.2e lbf sec/ft**2 '%(v1)\n", + "print 'viscosity = %.2e lb/ft sec '%(v2)\n", + "print 'viscosity = %.3f centi-poise '%(v3)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "viscosity = 1.02e-05 lbf sec/ft**2 \n", + "viscosity = 3.29e-04 lb/ft sec \n", + "viscosity = 0.490 centi-poise \n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 8.3.1 page no : 192" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "v= 3.732*10**-7 \t\t\t#slug/ft sec\n", + "y= 0.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "vbyy= 40000.*(1.-50*y)\n", + "q= v*vbyy\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' viscous shear stress= %.4f lbf/ft**2 '%(q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " viscous shear stress= 0.0149 lbf/ft**2 \n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 8.3.2 page no : 193" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "T= 2.95 \t\t\t#lbf ft\n", + "y= 0.025 \t\t\t#in\n", + "d= 3. \t\t\t #in\n", + "w= 450. \t\t\t#r.p.m\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "R = 1.5\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "A = math.pi*d*(2./3.)\n", + "u = (T*y*144*60*32.2)/(A*R**2*w*2*math.pi)\t\t\n", + "\n", + "#RESULTS\n", + "print ' coefficient of viscocity of oil= %.3f lb/ft sec '%(u)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " coefficient of viscocity of oil= 0.513 lb/ft sec \n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 8.3.3 page no : 194" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "v= 0.02 \t\t\t#lb/ft sec\n", + "L= 5. \t\t\t#in\n", + "D= 2.5 \t\t\t#in\n", + "M= 26. \t\t\t#lbf in\n", + "w= 1200. \t\t\t#rev/min\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "C= math.pi*v*w*2*math.pi*D**3*L/(2*M*g*60*144.)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' coefficient= %.4f in '%(C)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " coefficient= 0.0026 in \n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 8.3.4 page no : 195" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "l= 2.54 \t\t\t#cm\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "v= 3.22 \t\t\t#centi-poise\n", + "f= 0.01\n", + "p= 1.74 \t\t\t#lbf/in**2\n", + "w= 100. \t\t\t#rev\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "V= v*l/(453.6*g*12)\n", + "R= f*p*60/(math.pi*2*math.pi*w*V)\n", + "\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' relevant ratio of diameter to clearance= %.1f '%(R)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " relevant ratio of diameter to clearance= 11.3 \n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 8.4.1 page no : 196" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "g= 981. \t\t\t#cm/sec**2\n", + "d= 0.1 \t\t\t#mm\n", + "v= 35. \t\t\t#centi-stokes\n", + "d1= 10. \t\t\t#mm\n", + "d2= 1. \t\t\t#mm\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= g*d**2.*100/(18*v*d1**2)\n", + "ub= (d2/d)**2*u\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' rate for diameter 0.1 mm= %.4f cm/sec'%(u) \n", + "print ' rate for diameter 1 mm= %.2f cm/sec'%(ub) \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " rate for diameter 0.1 mm= 0.0156 cm/sec\n", + " rate for diameter 1 mm= 1.56 cm/sec\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 8.5.1 page no : 201" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math\n", + "a= 0.25 \t\t\t#ft\n", + "v= 1.2 \t\t\t#poises\n", + "u= 10. \t\t\t#ft/sec\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "s= 0.9\n", + "d= 6. \t\t\t#in\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "q= -2.*u*v*30.5/(a*454*g)\n", + "Q= math.pi*u*(d/24)**2/2\n", + "R= 2.5*30.5**2/(v)\n", + "\t\t\n", + "#RESULTS\n", + "print ' quantity flow = %.2f ft**3/sec'%(q) \n", + "print ' shear stress in the oil = %.2f lbf/ft**2'%(Q) \n", + "print ' Reynolds number = %.f '%(R)\n", + "print 'Which is less than 2300 .Hence flow is laminar.'\n", + "# Note : Answer in book is wrong for R. Please check it manually." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " quantity flow = -0.20 ft**3/sec\n", + " shear stress in the oil = 0.98 lbf/ft**2\n", + " Reynolds number = 1938 \n", + "Which is less than 2300 .Hence flow is laminar.\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 8.5.2 page no : 202" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math\n", + "\n", + "s= 0.9 #relative density\n", + "v= 5. \t\t\t#ft/sec\n", + "l= 10. \t\t\t#ft\n", + "di= 0.5 \t\t\t#in\n", + "n= 100.\n", + "u= 0.002 \t\t\t#lbfsec/ft**2\n", + "w= 62.3 \t\t\t#lbf/ft**3\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "dp= 8.*u*v*l/(di/2)**2\n", + "hf= dp*144./(s*w)\n", + "hk= v**2/(2.*g)\n", + "ht=hf+hk\n", + "P= s*w*n*v*math.pi*ht*di**2/(144.*4*550)\n", + "\n", + "#RESULTS\n", + "print ' horse-power required = %.1f h.p'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " horse-power required = 2.3 h.p\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 8.6.2 pageno : 206" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "W= 50. \t\t\t#tonf\n", + "u= 0.1 \t\t\t#lb/ft sec\n", + "d= 8. \t\t\t#in\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "r= 0.01\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "P = (4*W**2)/(3*math.pi*u) * ((1./800)**3)*(12./8)*(g/550)*2240**2\n", + "Q= 4*W*2240*g*12*(r/d)**3/(3*math.pi*u*(d/12))\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' power required = %.2f'%P\n", + "print ' rate = %.3f in/sec'%(Q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " power required = 9.13\n", + " rate = 0.538 in/sec\n" + ] + } + ], + "prompt_number": 6 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file diff --git a/Mechanics_Of_Fluids/ch9.ipynb b/Mechanics_Of_Fluids/ch9.ipynb new file mode 100755 index 00000000..1e84196c --- /dev/null +++ b/Mechanics_Of_Fluids/ch9.ipynb @@ -0,0 +1,746 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 9 : Similarity and Dimensional Analysis" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.1.1 page no : 219" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "pm= 1.6 \t\t\t#lb/ft**3\n", + "vm= 6.2*10**-6 \t\t#ft**2/sec\n", + "R= 1.8 \t\t\t #lbf\n", + "um= 100. \t\t\t#ft/sec\n", + "p= 64. \t\t\t #lb/ft**3\n", + "v= 1.7*10**-5 \t #ft^2/sec\n", + "lm_by_l= 1/10. \t\t#ft\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "u= (um*lm_by_l*v)/vm\n", + "u_knot= ((um*lm_by_l*v)/vm)/1.98 #knot\n", + "F_by_Fm = (p/pm)*(1/lm_by_l)**2*(u/um)**2\n", + "F= F_by_Fm*R\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' speed of torpedo in sea water = %.1f knot'%u_knot\n", + "print ' resistance= %.f lbf '%(F)\n", + "print (1/lm_by_l)**2\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " speed of torpedo in sea water = 13.8 knot\n", + " resistance= 541 lbf \n", + "100.0\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.2.1 page no : 222" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "S= 5. \t\t\t#ft\n", + "F= 70. \t\t\t#lbf\n", + "B= 4. \t\t\t#degrees\n", + "l= 1. \t\t\t#ft\n", + "d= 0.002378 \t\t\t#slug/ft**3\n", + "u= 120. \t\t\t#ft/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "L= F*math.cos(math.radians(B))\n", + "D=F*math.sin(math.radians(B))\n", + "S1= S*l\n", + "p= 0.5*d*u**2\n", + "Cl= L/(p*S1)\n", + "Cd= D/(p*S1)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' coefficient of lift= %.2f'%(Cl)\n", + "print ' coefficient of drag= %.4f'%(Cd)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " coefficient of lift= 0.82\n", + " coefficient of drag= 0.0570\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.2.2 page no : 225" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "import math \n", + "\n", + "A= 600. \t\t\t#ft**2\n", + "W= 40. \t\t\t#lbf/ft**2\n", + "n= 75. \t\t\t#percent\n", + "r= 10.\n", + "v= 300. \t\t\t#miles/hour\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "L= W*A\n", + "D= L/r\n", + "P= D*v*5280./(60.*33000)\n", + "hp= P*100./n\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' brake horse-power of the engines= %.f h.p'%(hp)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " brake horse-power of the engines= 2560 h.p\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.2.4 page no : 226" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "W = 22400 # lbf\n", + "p = 0.002378 # slug/ft^3\n", + "S = 500. # ft**2\n", + "b = 398. \n", + "a = 293\n", + "D1 = 1530. # lbf\n", + "U = 200. \n", + "\n", + "\n", + "# Calculation\n", + "#Part a\n", + "U1 = round((2*W/(p*S)),-2)**(1./2) * (b/a)**(1./4)\n", + "P1 = round((D1 * U1)/550)\n", + "\n", + "#Part b\n", + "Umph = U1*0.681818 # ft/sec to m.p.h\n", + "D = round(round((D1/2)*((U/Umph)**2 + (Umph/U)**2),1))\n", + "P = round(D*U*5280./(60*33000),-1)\n", + "U = .76 * U1\n", + "D = (D1/2.)*((U/Umph)**2 + (Umph/U)**2)\n", + "power = round((D * U)*5280./(60*33000),-2)\n", + "\n", + "# Part c\n", + "min_power = .76 * U\n", + "# Results\n", + "print \"a)Power expended for minumum drag is = %.1f h.p.\"%P1\n", + "print \" Speed for minimum power is U = %.1f m.p.h\"%U\n", + "print \"b)Drag for minimum power is = %.0f lbf\"%D\n", + "print \" The minimum power is = %.0f h.p.\"%power\n", + "print \"c) Speed for minimum power is U = %.1f m.p.h\"%min_power\n", + "print \"Answers in book are wrong. Please calculate manually.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "a)Power expended for minumum drag is = 583.0 h.p.\n", + " Speed for minimum power is U = 159.3 m.p.h\n", + "b)Drag for minimum power is = 1566 lbf\n", + " The minimum power is = 700 h.p.\n", + "c) Speed for minimum power is U = 121.1 m.p.h\n", + "Answers in book are wrong. Please calculate manually.\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.3.1 page no :231" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "va= 0.2\n", + "r= 1./1.25\n", + "r1= 1./50\n", + "P= 20. \t\t\t#atm\n", + "v= 400. \t\t\t#m.p.h\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Um= v*va/(P*r*r1)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Speed of air= %.f m.p.h'%(Um)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Speed of air= 250 m.p.h\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.4.1 page no : 234" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "\n", + "U= 30. \t\t\t#ft/sec\n", + "g= 32.2 \t\t\t#ft/sec**2\n", + "l= 500.\t\t\t#ft\n", + "r= 1./25\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "F=(U**2./(l*g))\n", + "R= math.sqrt(r)\n", + "Um= U*R\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' Froude number= %.4f '%(F)\n", + "print ' speed= %.f ft/sec'%(Um)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Froude number= 0.0559 \n", + " speed= 6 ft/sec\n" + ] + } + ], + "prompt_number": 48 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.4.2 pageno : 234" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "R1= 9.5 \t\t\t#lbf\n", + "f1= 0.01\n", + "S1= 22. \t\t\t#ft**2\n", + "U1= 5.3\n", + "n= 1.825\n", + "l= 540.\t\t\t#ft\n", + "l1= 15. \t\t\t#ft\n", + "C= 0.0087\t\t\t#lbf/ft**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Rr1= round(R1-f1*S1*U1**n,1)\n", + "U= U1*math.sqrt(l/l1)\n", + "r= (l/l1)**3.\n", + "Rr= round(r*Rr1,-3)\n", + "Rf= C*(l/l1)**2*S1*U**n\n", + "R= Rr+Rf\n", + "P= R*U*1.69/550.\n", + "\n", + "\n", + "#RESULTS\n", + "print ' propulsive power= %.f h.p'%(P)\n", + "print 'Answer in book is wrong.'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " propulsive power= 35755 h.p\n", + "Answer in book is wrong.\n" + ] + } + ], + "prompt_number": 58 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.5.1 pageno : 237" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "#initialisation of variables\n", + "\n", + "s= 20. \t\t\t#ft\n", + "u= 10. \t\t\t#ft/sec\n", + "t= 1. \t\t\t#sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "r= s/u*t\n", + "a= r*u/t\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' constant accelaration= %.f ft/sec**2'%(a)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " constant accelaration= 20 ft/sec**2\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.5.2 pageno : 237" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "a= 20. \t\t\t#ft/sec**2\n", + "s= 20.\t\t\t#ft\n", + "u= 10. \t\t\t#ft/sec\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "P= a*s/u**2.\n", + "t= s*2/(u*P)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' time taken= %.f sec'%(t)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " time taken= 1 sec\n" + ] + } + ], + "prompt_number": 60 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.6.1 page no : 242\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "s= 0.8\n", + "l= 1.\t\t\t#ft\n", + "r= 8.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Hw= (s/r)**(2./3)*l\n", + "Qw= 1.5*Hw**(2.5)\n", + "R= (1./Hw)**2.5\n", + "Q= Qw*R\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' depth of water= %.3f ft'%(Hw)\n", + "print ' rate of flow of fluid= %.1f ft**3/sec'%(Q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " depth of water= 0.215 ft\n", + " rate of flow of fluid= 1.5 ft**3/sec\n" + ] + } + ], + "prompt_number": 61 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.6.3 pageno : 244" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "Q1= 140. \t\t\t#gallons\n", + "h= 3. \t\t\t#in\n", + "r= 16.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "H= h*r/12.\n", + "Q2= round(Q1*H**5.,-3)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' corresponding head over the full-scale wier= %.f ft'%(H)\n", + "print ' discharge over the latter= %.f gal/min'%(Q2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " corresponding head over the full-scale wier= 4 ft\n", + " discharge over the latter= 143000 gal/min\n" + ] + } + ], + "prompt_number": 63 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.7.1 page no: 248" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "r= 0.448\n", + "R= 0.868\n", + "r1= 0.152\n", + "R1= 0.807\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "P= R**3./r**2.\n", + "U= R/r\n", + "P1= R1**3./r1**2.\n", + "U1= R1/r1\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' power ratio in case 1= %.2f '%(P)\n", + "print ' velocity ratio in case 1= %.2f '%(U)\n", + "print ' power ratio in case 2= %.2f '%(P1)\n", + "print ' velocity ratio in case 2= %.1f '%(U1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " power ratio in case 1= 3.26 \n", + " velocity ratio in case 1= 1.94 \n", + " power ratio in case 2= 22.75 \n", + " velocity ratio in case 2= 5.3 \n" + ] + } + ], + "prompt_number": 64 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.7.2 page no : 249" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "#initialisation of variables\n", + "w= 1. \t\t\t#gf/cm**3\n", + "Ss= 7.8\n", + "Sl= 0.9\n", + "D= 1. \t\t\t#cm\n", + "D1= 0.1 \t\t\t#cm\n", + "g= 981. \t\t\t#cm/sec**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "F= w*(Ss-Sl)*4.*math.pi*D**3./(3.*8000)\n", + "v= F*g/(3*math.pi*D1*2.)\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' coefficient of viscosity= %.2f poise'%(v)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " coefficient of viscosity= 1.88 poise\n" + ] + } + ], + "prompt_number": 65 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.7.4 page no : 251" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "T= 15. \t\t\t#C\n", + "T1= -44. \t\t\t#C\n", + "P= 24. \t\t\t#atm\n", + "s= 0.374\n", + "m= 6. \t\t\t#tonf\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "r= ((T+273.)/(T1+273))**0.75\n", + "R= P/s\n", + "R1= r**2./R\n", + "F= R1*m*2240.\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' lift force= %.1f lbf'%(F)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " lift force= 295.4 lbf\n" + ] + } + ], + "prompt_number": 66 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.7.5 page no : 253\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "u= 80. \t\t\t#ft/sec\n", + "n= 62.\n", + "r= 1./4\n", + "v= 11. \t\t\t#ft**3\n", + "w= 62.3\t\t\t#lbf/ft**3\n", + "p= 2. \t\t\t#lbf/in**2\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "uw= u*n/(r*v*w)\n", + "R= v*w*(uw/u)**2.\n", + "P= r**2.*p/R\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' water velocity= %.f ft/sec'%(uw)\n", + "print ' pressure drop= %.5f lbf/in**2 per ft'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " water velocity= 29 ft/sec\n", + " pressure drop= 0.00139 lbf/in**2 per ft\n" + ] + } + ], + "prompt_number": 67 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 9.8.3 pageno : 259" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "\n", + "N= 1800. \t\t\t#rev/min\n", + "Vm= 60. \t\t\t#mile/hour\n", + "V= 300. \t\t\t#mile/hour\n", + "r= 10.\n", + "\t\t\t\n", + "#CALCULATIONS\n", + "Nm= N*Vm*r/V\n", + "\t\t\t\n", + "#RESULTS\n", + "print ' rotary speed= %.f rev/min'%(Nm)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " rotary speed= 3600 rev/min\n" + ] + } + ], + "prompt_number": 68 + } + ], + "metadata": {} + } + ] +}
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