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authorhardythe12015-06-03 15:27:17 +0530
committerhardythe12015-06-03 15:27:17 +0530
commit47d7279a724246ef7aa0f5359cf417992ed04449 (patch)
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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:a9d9c8590586ec3e8a7506eeddb2c5a00fb67f0aefc6c82bd4f6542b3faf29e6"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 04: Fluid Kinematics"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.4-1, Page No:133"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "%matplotlib inline\n",
+ "\n",
+ "#Variable Decleration\n",
+ "#Defining u and v in comments\n",
+ "#u=0.5+0.8x\n",
+ "#v=1.5-0.8y\n",
+ "a=0.5 #Velocity component\n",
+ "b=0.8 #Velocity component\n",
+ "c=1.5 #Velocity component\n",
+ "\n",
+ "#Calculations\n",
+ "#Part(a)\n",
+ "x=-a/b #x-component of stagnation point\n",
+ "y=c/b #y-component of stagnation point\n",
+ "\n",
+ "#Result\n",
+ "print \"There is a stagnation point at x=\",round(x,3),\"m\",\"and y=\",round(y,3),\"m\"\n",
+ "\n",
+ "#Part (b)\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "Y, X = np.mgrid[-1:5:100j, -3:3:100j]\n",
+ "U = 0.5+0.8*X \n",
+ "V = 1.5-0.8*Y\n",
+ "speed = np.sqrt(U*U + V*V)\n",
+ "\n",
+ "plt.streamplot(X, Y, U, V, color=U, linewidth=1, cmap=plt.cm.autumn)\n",
+ "plt.colorbar()\n",
+ "plt.ylabel('y')\n",
+ "plt.xlabel('x')\n",
+ "plt.show()"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "There is a stagnation point at x= -0.625 m and y= 1.875 m\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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VNDZynRF707gD9wnMHlZxhtUMdzRiuBn4B0FcONw+rU8+pBPcPgFxV/TJ1xkG536CpEht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\niu3AbWxsbMootgO3sbGxKaP8P3ujzW7g1gNZAAAAAElFTkSuQmCC\n",
+ "text": [
+ "<matplotlib.figure.Figure at 0x10b5b2ed0>"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.4-2, Page No:136"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "%matplotlib inline\n",
+ "\n",
+ "#Variable Decleration\n",
+ "V_dot=0.053*10**-3 #Vloumetric Flow rate in m^3/s\n",
+ "D_inlet=0.0107 #Diameter of the nozzle in m\n",
+ "D_outlet=0.0046 #Diameter of the nozzle at the outlet in m\n",
+ "delta_x=0.0991 #Length of the pipe in m\n",
+ "\n",
+ "#Calcualtions\n",
+ "u_inlet=(4*V_dot)/(pi*D_inlet**2) #Velocity at the inlet in m/s\n",
+ "u_outlet=(4*V_dot)/(pi*D_outlet**2) #Velocity at the outlet in m/s\n",
+ "a_x=(u_outlet**2-u_inlet**2)/(2*delta_x) #Axial Acceleration in m/s^2\n",
+ "\n",
+ "#Result\n",
+ "print \"The magnitude of acceleration is\",round(a_x,1),\"m/s^2\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The magnitude of acceleration is 49.6 m/s^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.4-3, Page No:138"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Variable Decleration\n",
+ "x=[-2,-1,0,1,2]\n",
+ "y=[-3,-2,-1,0,1,2,3]\n",
+ "\n",
+ "#Calcualtions\n",
+ "a_x=0.4+0.64*x[4]\n",
+ "a_y=-1.2+0.64*y[6]\n",
+ "\n",
+ "#Plotting\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "Y, X = np.mgrid[-1:5:100j, -3:3:100j]\n",
+ "U = 0.4+0.64*X\n",
+ "V = -1.2+0.64*Y\n",
+ "speed = np.sqrt(U*U + V*V)\n",
+ "\n",
+ "plt.streamplot(X, Y, U, V, color=U, linewidth=1, cmap=plt.cm.autumn)\n",
+ "plt.colorbar()\n",
+ "plt.ylabel('y')\n",
+ "plt.xlabel('x')\n",
+ "plt.show()\n",
+ "\n",
+ "#Result\n",
+ "print \"The acceleration at x=2 and y=3 are a_x=\",round(a_x,2),\"m/s^2 and a_y=\",round(a_y,3),\"m/s^2\"\n",
+ "\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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F341/kAAx4XB1B9Sy4xvX4+AEyBsEFU0ePGalw9aeUPFFKN3V/LyOKNAIqs+/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KZsg8KlPMufOgSvtYKnP4XmFvtSLv4KLkdASxdx5ovhsH8lDJpozaYrJN8RQkkwmflR+yE4tRlq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\nNeDYDxfLQMwn4PwbG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+ "text": [
+ "<matplotlib.figure.Figure at 0x10bc1c050>"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The acceleration at x=2 and y=3 are a_x= 1.68 m/s^2 and a_y= 0.72 m/s^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file