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diff --git a/Principles_Of_Fluid_Mechanics/ch1.ipynb b/Principles_Of_Fluid_Mechanics/ch1.ipynb new file mode 100644 index 00000000..947959aa --- /dev/null +++ b/Principles_Of_Fluid_Mechanics/ch1.ipynb @@ -0,0 +1,275 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:5f74478ce49dffc1b551f32fb2744aa025f82f0e4c0a37162dfc5c9eb6e76508" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 1 : Basic Concepts" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.1 Page No : 5" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "weight = 9800. \t\t\t#Kg\n", + "g = 9.81 \t\t\t#m/s**2\n", + "a = 2. \t\t \t#m/s**2\n", + "\t\t\t\n", + "#calculations\n", + "m = weight/g\n", + "Wm = m*a\n", + "\t\t\t\n", + "#results\n", + "print \"Density on earth = %.2f Kg/m**3\"%(m)\n", + "print \" Weight on moon = %.2f N\"%(Wm)\n", + "print \" Density on moon remains unchanged and is equal to %.2f Kg/m**3\"%(m)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Density on earth = 998.98 Kg/m**3\n", + " Weight on moon = 1997.96 N\n", + " Density on moon remains unchanged and is equal to 998.98 Kg/m**3\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.2 Page No : 14" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "w = 150. \t\t\t#N\n", + "theta = 30. \t\t\t#degrees\n", + "l = 0.8 \t\t\t#m\n", + "b = 0.8 \t\t\t#m\n", + "dy = 0.12 \t\t\t#cm\n", + "v = 20. \t\t\t#cm/s\n", + "\t\t\t\n", + "#calculations\n", + "Tau = round(w*math.sin(math.radians(theta)) /(l*b),2) #shear stress\n", + "rd = v/dy #rate of deformation\n", + "vis = Tau/rd #viscosity\n", + "\n", + "#results\n", + "print \"Viscosity of the fluid = %.2f N s/m**2\"%(vis)\n", + "\n", + "# incorrect solution for 'rate of deformation' in textbook" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Viscosity of the fluid = 0.70 N s/m**2\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.3 Page No : 14" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "vis = 2.5/10 \t\t\t#N s/m**2\n", + "D = 15. \t\t\t#cm\n", + "N = 180.\n", + "dy = 0.0001 \t\t\t#m\n", + "l = 0.15 \t\t\t#length - m\n", + "b = 0.25 \t\t\t#breadth - m\n", + "r = 0.152 \t\t\t#radius - m\n", + "\t\t\t\n", + "#calculations\n", + "dv = math.pi*D*N/60/100\n", + "Tau = vis*dv/dy\n", + "Tor = round(Tau*math.pi*l*b*r/2,1)\n", + "P = Tor*2*math.pi*N/60\n", + "print \t\t\t\n", + "#results\n", + "print \"Power required = %d W\"%(P)\n", + "\n", + "# Note : The answer is different due to rounding off error in textbook." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Power required = 595 W\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.4 Page No : 15" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "w = 1 \t\t\t#rad/s\n", + "T = 0.4 \t\t\t#N/m**2\n", + "\t\t\t\n", + "#calculations\n", + "mu = T/math.tan(w)\n", + "\t\t\t\n", + "#results\n", + "print \"Viscosity = %.2f N s/m**2\"%(mu)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Viscosity = 0.26 N s/m**2\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.6 Page No : 19" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "d = 0.05*10**-3 \t#diameter - m\n", + "T = 72.*10**-3 \t\t#surface tension of water - N/m\n", + "P = 101. \t\t\t#pressure - kN/m**2\n", + "\t\t\t\n", + "#calculations\n", + "Pi = P*1000 + 2*T/(d/2)\n", + "\t\t\t\n", + "#results\n", + "print \"Pressure = %.2f kN/m**2\"%(Pi/1000)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Pressure = 106.76 kN/m**2\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.7 Page No : 19" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "rho = 981. \t\t\t#dyn/cm**2\n", + "sigma = 72. \t\t\t#dyn/cm\n", + "theta = 0. \t \t\t#degrees\n", + "d = 0.5 \t\t \t#cm\n", + "depth = 90. \t\t\t#cm\n", + "\t\t\t\n", + "#calculations\n", + "h = 4*sigma*math.cos(math.radians(theta)) /(rho*d)\n", + "Td = depth-h\n", + "\t\t\t\n", + "#results\n", + "print \"True depth = %.3f cm\"%(Td)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "True depth = 89.413 cm\n" + ] + } + ], + "prompt_number": 17 + } + ], + "metadata": {} + } + ] +}
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