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diff --git a/Principles_Of_Fluid_Mechanics_by_M._K._Natarajan/ch9.ipynb b/Principles_Of_Fluid_Mechanics_by_M._K._Natarajan/ch9.ipynb new file mode 100755 index 00000000..d60bcd33 --- /dev/null +++ b/Principles_Of_Fluid_Mechanics_by_M._K._Natarajan/ch9.ipynb @@ -0,0 +1,152 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:a18675a96e26e95bc119a7095e6c5f784a91bb484f337fa10d53e05acf798c32" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 9 : Potential Flow" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.4 Page No : 339" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "k = 1.5\n", + "r = 40. \t \t\t#cm\n", + "theta = 45. \t\t\t#degrees\n", + "\t\t\t\n", + "#calculations\n", + "vr = -2*k*r*math.cos(math.radians(2*theta))\n", + "vt = 2*k*r*math.sin(math.radians(2*theta))\n", + "\t\t\t\n", + "#results\n", + "print \"velocity in radial direction = %d cm/s\"%(vr)\n", + "print \" velcoity in angular direction = %d cm/s\"%(vt)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "velocity in radial direction = 0 cm/s\n", + " velcoity in angular direction = 120 cm/s\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.14 Page No : 371" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "T = 4.5 #m^2/s\n", + "a = 0.6 #diameter - m\n", + "u = 5. \t\t \t#velocity - m/s\n", + "rho = 1000. \t\t\t#kg/m**3\n", + "\t\t\t\n", + "#calculations\n", + "sint = 0.5*(1- T/(2*math.pi*a*u))\n", + "theta = math.degrees(math.asin((sint)))\n", + "dp = 0.5*rho*u**2 *(1 - (2 + T/(2*math.pi*a*u))**2)\n", + "\t\t\t\n", + "#results\n", + "print \"Angle = %.1f or %.1f degrees\"%(theta,180-theta)\n", + "print \" Min guage pressure = %.2f kN/m**2\"%(dp/1000)\n", + "\n", + "#The answer in textbook is wrong. please check" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Angle = 22.4 or 157.6 degrees\n", + " Min guage pressure = -50.15 kN/m**2\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.15 Page No : 371" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "#Initialization of variables\n", + "T = 6*math.pi\n", + "r = 1./3\n", + "\t\t\t\n", + "#calculations\n", + "vab = T/(4*math.pi)\n", + "vba = T/(2*math.pi)\n", + "w = vab/r\n", + "\t\t\t\n", + "#results\n", + "print \"rate of rotation = %.1f rad/s\"%(w)\n", + "print \"speed of A by B = %.1f m/s\"%(vab)\n", + "print \"speed of B by A = %.1f m/s\"%(vba)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "rate of rotation = 4.5 rad/s\n", + "speed of A by B = 1.5 m/s\n", + "speed of B by A = 3.0 m/s\n" + ] + } + ], + "prompt_number": 4 + } + ], + "metadata": {} + } + ] +}
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