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diff --git a/Principles_Of_Fluid_Mechanics_by_M._K._Natarajan/ch6.ipynb b/Principles_Of_Fluid_Mechanics_by_M._K._Natarajan/ch6.ipynb new file mode 100755 index 00000000..cd7afbaa --- /dev/null +++ b/Principles_Of_Fluid_Mechanics_by_M._K._Natarajan/ch6.ipynb @@ -0,0 +1,236 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:6e7275009478231e09bfec0423553af7b62637e958570036cb846adaade3feab" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 6 : Dimensional Analysis and Similitude" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.11 Page No : 222" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "dw = 1000. \t\t\t#density of water - kg/m**3\n", + "muw = 0.001 \t\t#viscosity of water - N s /m**2\n", + "da = 1.225 \t\t\t#density of air - kg/m**3\n", + "mua = 18.*10**-6 \t#viscosity of air - N s /m**2\n", + "lr = 1./10\n", + "\t\t\t\n", + "#calculations\n", + "dr = da/dw\n", + "mur = mua/muw\n", + "vr = mur/dr\n", + "velocity = vr/lr\n", + "discharge = lr*vr\n", + "pressure = mur**2 /(dr*lr**2)\n", + "force = mur**2 /dr\n", + "\t\t\t\n", + "#results\n", + "print \"Scale ratio for velocity = %.f \"%(velocity)\n", + "print \"Scale ratio for discharge = %.2f \"%(discharge)\n", + "print \"Scale ratio for pressure = %.1f \"%(pressure)\n", + "print \"Scale ratio for force = %.3f \"%(force)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Scale ratio for velocity = 147 \n", + "Scale ratio for discharge = 1.47 \n", + "Scale ratio for pressure = 26.4 \n", + "Scale ratio for force = 0.264 \n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.12 Page No : 223" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "dr = 1000.\n", + "mur = 100. #times\n", + "lr = 1./10 #prototype size\n", + "dpm = 60. #kN/m**2\n", + "\t\t\t\n", + "#calculations\n", + "Vr = mur/dr/lr\n", + "dpr = dr*Vr**2\n", + "dpp = dpm/dpr\n", + "\t\t\t\n", + "#results\n", + "print \"Pressure drop in prototype = %d N/m**2\"%(dpp*10**3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Pressure drop in prototype = 60 N/m**2\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.14 Page No : 225" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "lr = 1./25\n", + "Tp = 6. \t\t\t#sec\n", + "dr = 1./1.025\n", + "Fm = 70. \t\t\t#N\n", + "\t\t\t\n", + "#calculations\n", + "Tr = lr**(0.5)\n", + "Tm = Tr*Tp\n", + "Fr = dr*lr**3\n", + "Fp = Fm/Fr\n", + "\t\t\t\n", + "#results\n", + "print \"Wave period = %.1f sec\"%(Tm)\n", + "print \"Force = %.3f kN\"%(Fp/1000)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wave period = 1.2 sec\n", + "Force = 1121.094 kN\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.16 Page No : 227" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "lr = 1./10 #scale ratio\n", + "Vp = 10. \t\t\t#speed - knots\n", + "Fm = 12. \t\t\t#tension - N\n", + "\t\t\t\n", + "#calculations\n", + "Vm = Vp*math.sqrt(lr)\n", + "Fp = Fm/lr**3\n", + "\t\t\t\n", + "#results\n", + "print \"force = %.1f kN\"%(Fp/1000)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "force = 12.0 kN\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.17 Page No : 229" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "lr = 1./7200\n", + "\t\t\t\n", + "#calculations\n", + "Tr = 60./(12*3600)\n", + "yr = (lr/Tr)**2\n", + "\t\t\t\n", + "#results\n", + "print \"vertical scale to be adopted is 1 in %d\"%(1/yr)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "vertical scale to be adopted is 1 in 100\n" + ] + } + ], + "prompt_number": 7 + } + ], + "metadata": {} + } + ] +}
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