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diff --git a/Hydraulics_Made_Easy_by_R._S._Dighe/ch8.ipynb b/Hydraulics_Made_Easy_by_R._S._Dighe/ch8.ipynb new file mode 100755 index 00000000..453fa186 --- /dev/null +++ b/Hydraulics_Made_Easy_by_R._S._Dighe/ch8.ipynb @@ -0,0 +1,554 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:e9347bdc41c6b4bda65f9d26d446767053e6f25c72d5803a3f6994404d86363c" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 8 : Impact of Jets" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.1 Page No : 276" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d = 1. \t\t#in\n", + "v = 36. \t\t#ft/sec\n", + "b = 30. \t\t#degrees\n", + "w = 62.4 \t\t#lbs/ft**3\n", + "g = 32.2\n", + "\t\t\n", + "#CALCULATIONS\n", + "a = math.pi/4 * (d/12)**2\n", + "thrust = w*a*v**2/g\n", + "P = w* math.sin(math.radians(b))*v**2*(math.pi*(d/12)**2/4)/g\n", + "\t\t\n", + "#RESULTS\n", + "print \"The trust when the plate is normal to the jet = %.1f lbs. wt.\"%thrust\n", + "print 'Total thrust on the plate when inclined = %.2f lb wt'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The trust when the plate is normal to the jet = 13.7 lbs. wt.\n", + "Total thrust on the plate when inclined = 6.85 lb wt\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.2 Page No : 277" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "a = 180. \t\t#degrees\n", + "g = 32.2 \t\t#ft/sec**2\n", + "w = 62.4 \t\t#lbs/ft**3\n", + "d = 1. \t\t#in\n", + "H = 100. \t\t#ft\n", + "u = 0.95\n", + "\t\t\n", + "#CALCULATIONS\n", + "v = u*math.sqrt(2*g*H)\n", + "Px = w*(1- math.cos(math.radians(a)))*(math.pi*(d/12)**2/4)*v**2/g\n", + "\t\t\n", + "#RESULTS\n", + "print 'force it exerts = %.1f lb wt'%(Px)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "force it exerts = 122.9 lb wt\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.3 Page No : 278" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d = 30. \t\t#in\n", + "a = 90. \t\t#degrees\n", + "Q = 62.5 \t\t#ft**3/sec\n", + "w = 62.4 \t\t#lbs/ft**3\n", + "n =4.\n", + "g =32.2\n", + "\t\t\n", + "#CALCULATIONS\n", + "v = Q*4/(math.pi*(d/12)**2)\n", + "P = w*math.pi*(d/12)**2*v**2/(4*g)\n", + "Px = P/n\n", + "\n", + "#RESULTS\n", + "print 'pull on each bolt = %.1f lbs'%(Px)\n", + "\n", + "# rounding off error. please check." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "pull on each bolt = 385.5 lbs\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.4 Page No : 278" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d = 4. \t\t#in\n", + "v = 30. \t\t#ft/sec\n", + "a = 22.5 \t\t#degrees\n", + "w = 62.4 \t\t#lbs/ft**3\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS \n", + "P = w*(math.pi*(d/12)**2/4)*v**2*math.sqrt(2*(1-math.cos(math.radians(a))))/g\n", + "\t\t\n", + "#RESULTS\n", + "print 'Resultant force tending to move the pipe = %.f lbs'%(P)\n", + "\n", + "\n", + "\t\t#ANSWER GIVEN IN THE TEXTBOOK IS WRONG\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Resultant force tending to move the pipe = 59 lbs\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.5 Page No : 284" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d = 3. \t\t#in\n", + "v1 = 80. \t\t#ft/sec\n", + "v2 = 40. \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", + "vr = v1-v2\n", + "P = w*vr*v2*math.pi*(d/12)**2/(g*4)\n", + "\t\t\n", + "#RESULTS\n", + "print 'normal pressure on the plate when jet strikes = %.1f lbs'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "normal pressure on the plate when jet strikes = 152.2 lbs\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.6 Page No : 285" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "d = 2. \t\t#in\n", + "v1 = 50. \t\t#ft/sec\n", + "v2 = 20. \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", + "vr = v1-v2\n", + "P = W*vr*v1*math.pi*(d/2)**2/(g*4)\n", + "W = P*v2\n", + "KE = 2*vr*v2*100/v1**2\n", + "\t\t\n", + "#RESULTS\n", + "print 'Efficiency = %.f per cent'%(KE)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Efficiency = 48 per cent\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.7 Page No : 286" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "#initialisation of variables\n", + "d = 1. \t\t#in\n", + "v = 10. \t\t#f/sec\n", + "v1 = 30. \t\t#ft/sec\n", + "w = 62.4 \t\t#lbs/ft**3\n", + "a = 180. \t\t#degrees\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS\n", + "A = math.pi*(d/12)**2/4\n", + "vr = 80-v1\n", + "M = w*vr*A\n", + "Px = M*vr*(1- math.cos(math.radians(a)))/g\n", + "W = Px*v1\n", + "M1 = w*80*A\n", + "Px1 = M1*vr*(1-math.cos(math.radians(a)))/g\n", + "W1 = Px1*v1\n", + "\t\t\n", + "#RESULTS\n", + "print 'total force when there is a math.single cup = %.1f ft lbs'%(W)\n", + "print ' total force when there is a series of cups = %.1f ft lbs'%(W1)\n", + "\n", + "# rounding off error." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "total force when there is a math.single cup = 1585.4 ft lbs\n", + " total force when there is a series of cups = 2536.7 ft lbs\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.8 Page No : 287" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "v = 100. \t\t#ft/sec\n", + "u = 40. \t\t#ft/sec\n", + "a = 25. \t\t#degrees\n", + "g = 32.2 \t\t#ft/sec**2\n", + "vr = 66. \t\t#ft/sec\n", + "a1 = 20. \t\t#/degrees\n", + "a2 = 8. \t\t#degrees\n", + "r = 0.14\n", + "\t\t\n", + "#CALCULATIONS\n", + "Uw = v * math.cos(math.radians(a))\n", + "Uv = v * math.sin(math.radians(a))\n", + "tanA = Uv/(Uw - u)\n", + "A = math.degrees(math.atan(tanA))\n", + "v1 = vr*.14/0.342\n", + "W = (v**2-v1**2)/(2*g)\n", + "e = (v**2-v1**2)*100/v**2\n", + "\n", + "#RESULTS\n", + "print 'inlet blade angle = %.2f degrees'%(A)\n", + "print ' Work done = %.f ft lbs'%(W)\n", + "print ' efficiency = %.2f ft per cent'%(e)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "inlet blade angle = 39.85 degrees\n", + " Work done = 144 ft lbs\n", + " efficiency = 92.70 ft per cent\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.9 Page No : 291" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\n", + "#initialisation of variables\n", + "Q = 60. \t\t#ft**3/sec\n", + "v = 12. \t\t#m.p.h\n", + "A = 3. \t\t#ft**2\n", + "D = 64. \t\t#lbs/ft**3\n", + "g = 32.2 \t\t#ft/sec**2\n", + "M = 64. \t\t#lbs\n", + "\t\t\n", + "#CALCULATIONS\n", + "vr = Q/A\n", + "u = v*44/30\n", + "v1 = vr-u\n", + "P = M*Q*v1/g\n", + "\t\t\n", + "#RESULTS\n", + "print 'propelling force = %.1f lbs'%(P)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "propelling force = 286.2 lbs\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.10 Page No : 291" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\n", + "#initialisation of variables\n", + "vr = 20. \t\t#f/sec\n", + "u = 9. \t\t#knots\n", + "D = 64. \t\t#lbs per cubic foot\n", + "g = 32.2 \t\t#ft/sec**2\n", + "p = 40. \t\t#per cent\n", + "\t\t\n", + "#CALCULATIONS\n", + "u1 = u*6080/3600\n", + "v = vr-u1\n", + "P = D*2*vr*4.8/g\n", + "HP = P*u1/550\n", + "HP1 = 100*HP/p\n", + "\t\t\n", + "#RESULTS\n", + "print 'cylinder H.P = %.2f H.P'%(HP1)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "cylinder H.P = 26.37 H.P\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.11 Page No : 293" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "W = 62.4 \t\t#lbs/ft**3\n", + "A = 4. \t \t#ft**2\n", + "P = 1000. \t\t#lbs\n", + "g = 32.2 \t\t#ft/sec**2\n", + "v = 10. \t\t#ft/sec\n", + "\t\t\n", + "#CALCULATIONS\n", + "vr = math.sqrt(25+(P*g/(W*A)))+5\n", + "Q = vr*W*A/10\n", + "e = 2*v*100/(vr+v)\n", + "\t\t\n", + "#RESULTS\n", + "print 'quantity of water pumped = %.1f lbs'%(Q)\n", + "print ' efficiency = %.1f per cent'%(e)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "quantity of water pumped = 434.6 lbs\n", + " efficiency = 73.0 per cent\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.12 Page No : 294" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "g = 32.2 \t\t#ft/sec**2\n", + "\t\t\n", + "#CALCULATIONS\n", + "v = math.sqrt(32*g)\n", + "\t\t\n", + "#RESULTS\n", + "print 'speed that delivery commence = %.1f ft/sec'%(v)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "speed that delivery commence = 32.1 ft/sec\n" + ] + } + ], + "prompt_number": 13 + } + ], + "metadata": {} + } + ] +}
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