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Diffstat (limited to 'Elementary_Fluid_Mechanics/ch8.ipynb')
| -rwxr-xr-x | Elementary_Fluid_Mechanics/ch8.ipynb | 193 |
1 files changed, 193 insertions, 0 deletions
diff --git a/Elementary_Fluid_Mechanics/ch8.ipynb b/Elementary_Fluid_Mechanics/ch8.ipynb new file mode 100755 index 00000000..7725321e --- /dev/null +++ b/Elementary_Fluid_Mechanics/ch8.ipynb @@ -0,0 +1,193 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:736a6a7d4118b4fdd4663c0d1027cf5bfb979230c26b70e1555cf0d37da46444" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 8 : Similitude and Dimensional Analysis" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.1 Page No : 266" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\n", + "\n", + "# variables\n", + "Tw = 32.;\t\t# degreeF\n", + "d1 = 3.;\t\t# in\n", + "v = 10.;\t\t#fps\n", + "delp = 2.;\t\t#psi\n", + "h1 = 30.;\t\t# ft\n", + "Tb = 68.;\t\t#degreeF\n", + "d2 = 1.;\t\t#in\n", + "h2 = 10.;\t\t#ft\n", + "\n", + "# calculations \n", + "V = v*(d1/12)*0.0000137/((d2/12)*0.88*0.0000375);\n", + "del_p = delp/h2**2 *0.88*V**2;\n", + "\n", + "# results \n", + "print 'V = %.2f fps del_p = %.2f psi'%(V,del_p);\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "V = 12.45 fps del_p = 2.73 psi\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.2 Page No : 266" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "# variables\n", + "l = 400.;\t\t# ft\n", + "h = 10.;\t\t#ft\n", + "v = 30.;\t\t# fps\n", + "D = 2.;\t\t#lb\n", + "\n", + "# calculations \n", + "V = math.sqrt((v**2 /l)*h);\n", + "D_p = (D/V**2) *(v**2)*(l**2)/h**2;\n", + "\n", + "# results \n", + "print 'V = %.2f fps Prototype drag = %d lb'%(V,D_p);" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "V = 4.74 fps Prototype drag = 128000 lb\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.3 Page No : 266" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\t\t\n", + "# variables\n", + "G = 20000.;\t\t#cfs\n", + "k = 1./15;\n", + "\n", + "# calculations \n", + "Q_m = G*(k)**(2+ 1./2);\n", + "\n", + "# results \n", + "print 'Qm = %.f cfs'%(Q_m);\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Qm = 23 cfs\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.4 Page No : 266" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "# variables\n", + "k = 1./10;\n", + "v = 3000.;\t\t#fps\n", + "h = 15000.;\t\t#altitude\n", + "T = 68.;\t\t# degreeF\n", + "am = 870.;\t\t#fps\n", + "ap = 1057.;\t\t#fps\n", + "\n", + "# calculations \n", + "Vm = v*(am/ap);\n", + "rho_m = v*(1/k)*0.001495*0.031/(0.033*Vm);\n", + "p_m = 32.2*rho_m*34.9*(T+460)/(144);\n", + "\n", + "# results \n", + "print 'Vm = %d fps p_m = %d psia'%(Vm,p_m);\n", + "\n", + "#rounding-off errors" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Vm = 2469 fps p_m = 70 psia\n" + ] + } + ], + "prompt_number": 6 + } + ], + "metadata": {} + } + ] +}
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