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Diffstat (limited to 'Hydraulics_Made_Easy/ch3.ipynb')
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diff --git a/Hydraulics_Made_Easy/ch3.ipynb b/Hydraulics_Made_Easy/ch3.ipynb new file mode 100755 index 00000000..a7c97aa0 --- /dev/null +++ b/Hydraulics_Made_Easy/ch3.ipynb @@ -0,0 +1,527 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:2f07cf575072954f2c364fa1bc9af38d9d9d43725d39198530552558da11415c" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 3 : Flow of Water" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.1 Page No : 67" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\n", + "#initialisation of variables\n", + "d1 = 1. \t\t#ft\n", + "d2 = 6. \t\t#in\n", + "h1 = 5. \t\t#ft\n", + "h2 = 15. \t\t#ft\n", + "Pa = 15. \t\t#lbs\n", + "v1 = 10. \t\t#ft/sec\n", + "w = 62.4 \t\t#lbs/ft**3\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS\n", + "v2 = v1/(d2/12)**2\n", + "Pb = (w*((Pa+(Pa*144/w)+(v1**2/(2*g)))-h1-(v2**2/(2*g))))/144\n", + "\t\t\n", + "#RESULTS\n", + "print 'Pb = %.2f lbs/in**2 '%(Pb) \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Pb = 9.24 lbs/in**2 \n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.2 Page No : 69" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d1 = 4. \t\t#ft\n", + "d2 = 2. \t\t#ft\n", + "h1 = 50. \t\t#ft\n", + "h2 = 45. \t\t#ft\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS\n", + "r = (d1**2/d2**2)\n", + "v1 = round(math.sqrt((h1-h2)*2*g/(r**2-1)),1)\n", + "Q = v1*math.pi*d1**2/4\n", + "\n", + "#RESULTS\n", + "print 'discharge through pipe = %.2f cubic feet per second '%(Q)\n", + "\n", + "# rounding off error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "discharge through pipe = 57.81 cubic feet per second \n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3 Page No : 70" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "z1 = 10. \t\t#/m\n", + "h1 = 10. \t\t#m\n", + "v1 = 12. \t\t#ft/sec\n", + "v2 = 4. \t\t#m/sec\n", + "k = 0.6\n", + "w = 62.4 \t\t#lb/in**2\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS\n", + "p = (w/144)*(z1+h1+(v1**2/(2*g))-(v2**2/(2*g))-(k*(v1-v2)**2/(2*g)))\n", + "\t\t\n", + "#RESULTS\n", + "print 'pressure at bottom end = %.2f lb/in**2'%(p)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "pressure at bottom end = 9.27 lb/in**2\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.4 Page No : 73" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d = 4. \t\t#ft\n", + "d1 = 5./4 \t\t#ft\n", + "g = 32.2 \t\t#ft/sec**2\n", + "h = 3. \t \t#ft\n", + "K = 1.\n", + "\t\t\n", + "#CALCULATIONS\n", + "C = (math.pi/4)*d**2*math.sqrt(2*g)/(math.sqrt((d**2/d1**2)**2-1))\n", + "Q = K*math.sqrt(h)*C\n", + "V = Q/(math.pi*d1**2/4)\n", + "\t\t\n", + "#RESULTS\n", + "print 'Velocity at the throat = %.2f ft/sec '%(V)\n", + "\n", + "# ronding off error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Velocity at the throat = 13.97 ft/sec \n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.5 Page No : 74" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d = 9. \t\t#in\n", + "d1 = 4. \t\t#in\n", + "g = 32.2 \t\t#ft/sec**2\n", + "dh = 10. \t\t#in\n", + "sg = 13.6 \n", + "K = 1.\n", + "\t\t\n", + "#CALCULATIONS\n", + "C = (((math.pi/4)**2*(d*d1)**2*math.sqrt(2*g)/144**2)/(math.sqrt((math.pi*d**2/12**2)**2-(math.pi*d1**2/12**2)**2)))+0.52\n", + "h = (sg-1)*dh/12\n", + "Q = K*C*math.sqrt(h)\n", + "\t\t\n", + "#RESULTS\n", + "print 'Discharge passing through the pipe = %.2f cuses '%(Q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Discharge passing through the pipe = 2.26 cuses \n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.6 Page No : 76" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "sm = 13.6\n", + "so = 0.8\n", + "di = 8. \t\t#in\n", + "dt = 4. \t\t#in\n", + "K = 0.98\n", + "v = 1. \t\t#ft\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS\n", + "s = sm/so\n", + "dp = v*12*(s-1)/12\n", + "A = math.pi*(di/12)**2/4\n", + "At = math.pi*(dt/12)**2/4\n", + "C = A*math.sqrt(2*g)/(math.sqrt((A/At)**2-1))\n", + "Q = C*math.sqrt(v*12+dt)*K\n", + "\t\t\n", + "#RESULTS\n", + "print 'Discharge passing through the pipe = %.2f cuses '%(Q)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Discharge passing through the pipe = 2.84 cuses \n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.7 Page No : 77" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "s = 1./10\n", + "d1 = 6. \t\t#in\n", + "d2 = 2. \t\t#in\n", + "l = 20. \t\t#in\n", + "p = 15. \t\t#lbs/in**2\n", + "p1 = 6. \t\t#lbs/in**2\n", + "K = 0.95\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS\n", + "H = (l*s/12)-(p1*144/(2*g))+(p*144/(2*g))\n", + "C = math.sqrt(2*g)*(math.pi*(d1/12)**2)/(4*(math.sqrt((d1**2/d2**2)**2-1)))\n", + "Q = C*K*math.sqrt(H)*374.7\n", + "\n", + "#RESULTS\n", + "print 'Discharge passing through the pipe = %.f Gallons/minute '%(Q)\n", + "\n", + "# note : rounding off error at value of H in textbook. so answer is slightly different" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Discharge passing through the pipe = 282 Gallons/minute \n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.8 Page No : 78" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d1 = 12. \t\t#in\n", + "Q = 4.25 \t\t#ft**3/sec\n", + "h = 18. \t\t#ft\n", + "K = 0.98\n", + "g = 32.2 \t\t#ft/sec**2\n", + "sm = 13.6\n", + "\t\t\n", + "#CALCULATIONS\n", + "R = math.sqrt((K*math.sqrt(2*g)*math.sqrt(h)*(math.pi*(d1/12)**2/4)/Q)+1)\n", + "d2 = math.sqrt(d1**2/(144*R))\n", + "dh = (sm-1)*(h/(12*2))\n", + "d3 = Q*math.sqrt(dh/h)\n", + "\t\t\n", + "#RESULTS\n", + "print 'Diameter of the throat = %.2f ft '%(d3)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of the throat = 3.08 ft \n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.9 Page No : 81" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "R = 4. \t\t#in\n", + "r = 0.5 \t\t#in\n", + "c = 0.007\n", + "K = 33.96\n", + "w = 62.4 \t\t#lb/ft**3\n", + "pa = 12.13 \t\t#lb/in**2\n", + "pb = 14.7 \t\t#lb/in**2\n", + "w1 = 2.5 \t\t#lbs\n", + "Q = 40. \t\t#gals/min\n", + "h = 1.86\n", + "\t\t\n", + "#CALCULATIONS\n", + "va = Q*4*(2*r*12)**2/(6*w*math.pi)\n", + "vb = Q*(2*r*12)**2/(6*w*2*R*math.pi*0.32)\n", + "vx = vb*R/2\n", + "pu = 2*math.pi*w*h\n", + "pd = pb*math.pi*R**2\n", + "RP = pb*math.pi*R**2-2*math.pi*w*(0.5*K*((R/12)**2-(r/12)**2)-c*math.log(R/r))-pa*math.pi*r**2+w1\n", + "\t\t\n", + "#RESULTS\n", + "print 'velocity va = %.1f ft/sec'%(va)\n", + "print 'velocity vb = %.2f ft/sec'%(vb)\n", + "print 'velocity vx = %.2f ft/sec'%(vx)\n", + "print 'pressure px = %.1f lbs/in**2'%(pb)\n", + "print 'upward pressure = %.1f lbs'%(pu)\n", + "print 'downward pressure = %.1f lbs'%(pd)\n", + "print 'Resultant pressure = %.1f lbs'%(RP)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "velocity va = 19.6 ft/sec\n", + "velocity vb = 1.91 ft/sec\n", + "velocity vx = 3.83 ft/sec\n", + "pressure px = 14.7 lbs/in**2\n", + "upward pressure = 729.3 lbs\n", + "downward pressure = 738.9 lbs\n", + "Resultant pressure = 9.4 lbs\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.10 Page No : 86" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d = 1. \t\t#ft\n", + "h = 4. \t \t#ft\n", + "h1 = 3. \t\t#ft\n", + "p = 25. \t\t#percent\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS\n", + "h2 = ((h/4)-(h1/4))*h*2\n", + "w = math.sqrt(h2*2*g/(d/2)**2)\n", + "N = w*60/(2*math.pi)\n", + "h3 = (h-h1**2/4)*2\n", + "w1 = math.sqrt(h3*2*g/(d/2)**2)\n", + "N1 = w1*60/(2*math.pi)\n", + "\t\t\n", + "#RESULTS\n", + "print 'original volume = %.1f R.P.M '%(N1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "original volume = 286.7 R.P.M \n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.12 Page No : 89" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "R2 = 2. \t\t#ft\n", + "R1 = 1. \t\t#ft\n", + "w = 200. \t\t#r.p.m\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS\n", + "v2 = R2*math.pi*w*R2/60\n", + "v1 = R2*math.pi*w*R1/60\n", + "H = (v2**2-v1**2)/(2*g)\n", + "\t\t\n", + "#RESULTS\n", + "print 'centrifugal head = %.1f ft of watrer '%(H)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "centrifugal head = 20.4 ft of watrer \n" + ] + } + ], + "prompt_number": 11 + } + ], + "metadata": {} + } + ] +}
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