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Diffstat (limited to 'Elementary_Fluid_Mechanics/ch11.ipynb')
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1 files changed, 247 insertions, 0 deletions
diff --git a/Elementary_Fluid_Mechanics/ch11.ipynb b/Elementary_Fluid_Mechanics/ch11.ipynb new file mode 100755 index 00000000..8703141c --- /dev/null +++ b/Elementary_Fluid_Mechanics/ch11.ipynb @@ -0,0 +1,247 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:0e31426ac89cda24a76ca914e9a6ea49437d729b6061fc8d885e61953cdd31e2" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 11 : Fluid Measurements" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 11.1 Page No : 409" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "# variables\n", + "C_I = 0.98;\t\t#coefficient of pitot tube\n", + "d = 3.;\t\t#in\n", + "\n", + "# calculations \n", + "del_p = (d/12)*(13.55-0.88)/0.88;\n", + "v_c = C_I*math.sqrt(2*32.2*del_p);\n", + "\n", + "# results \n", + "print 'The velocity at the centerline of the pipe = %.1f fps'%(v_c);" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The velocity at the centerline of the pipe = 14.9 fps\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 11.2 Page No : 411" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "# variables\n", + "P = 25.;\t\t#in. of mercury\n", + "p = 18.;\t\t#in. of mercury\n", + "T = 150.;\t\t#degreeF\n", + "\n", + "# calculations \n", + "k = P/p;\n", + "if k < (1.893) :\n", + " V = math.sqrt(2*32.2*186.5*(T+460)*(1-(1/k)**0.286));\n", + "\n", + "print 'The local velocity just upstream from the pitot static tube = %d fps'%(V);" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The local velocity just upstream from the pitot static tube = 810 fps\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 11.3 Page No : 411" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "# variables\n", + "P = 20.;\t\t#in. of mercury\n", + "p = 5.;\t\t#in. of mercury\n", + "T = 150.;\t\t#degreeF\n", + "\n", + "# calculations \n", + "k = P/p;\n", + "\n", + "if k >1.893:\n", + " M_0 = 1.645;\n", + "\n", + "V_0 = math.sqrt(2*32.2*186.5*(T+460)/(1+ (2*186.5)/(53.3*1.4*M_0**2)));\n", + "\n", + "print 'The speed of this airplane = %d fps'%(round(V_0,-1));\n", + "\n", + "\t\t" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The speed of this airplane = 1600 fps\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 11.4 Page No : 420" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "# variables\n", + "b = 6.;\t\t#in\n", + "d = 3.;\t\t#in\n", + "p = 20.;\t\t#psi\n", + "del_p = 6.;\t\t#in. of mercury\n", + "p_bar = 14.70;\t\t#psia\n", + "T = 60.;\t\t#degreeF\n", + "\n", + "# calculations \n", + "k = (p + p_bar - b*(p_bar/29.92))/(p+p_bar);\n", + "gam1 = (p+p_bar)*144/53.3 /(T+460);\n", + "A2 = 0.0491;\t\t#sqft\n", + "Y = 0.949;\n", + "Cv = 0.98;\n", + "G = Y*Cv*A2*gam1*math.sqrt(2*32.2*b*10*A2*144/gam1) /(math.sqrt(1-0.25**2));\n", + "Cv_true = 0.981;\n", + "G_true = G*Cv_true/Cv;\n", + "\n", + "# results \n", + "print 'G = %.2f lb/sec'%(G);" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "G = 3.31 lb/sec\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 11.5 Page No : 422" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "# variables\n", + "d = 3.;\t\t#in\n", + "l = 6.;\t\t#in\n", + "h = 6.;\t\t#in\n", + "T = 60.;\t\t#degreeF\n", + "\n", + "# calculations \n", + "Cv= 0.99;\n", + "A1 = 0.25*math.pi*(d/12)**2;\n", + "Q = Cv*A1*math.sqrt(2*32.2*(h/12)*(13.55-1)) /(math.sqrt(1-0.25**2));\n", + "Cv_true = 0.988;\n", + "Q_true = Q*Cv_true/Cv;\n", + "h_L = 3.8;\n", + "\n", + "# results \n", + "print 'Q = %.3f cfs'%(Q);\n", + "print 'True Q = %.3f cfs'%(Q_true);\n", + "print 'Total head loss is about %.1f ft of water'%(h_L);\n", + "\n", + "#there are small errors in the answer given in textbook" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Q = 1.009 cfs\n", + "True Q = 1.007 cfs\n", + "Total head loss is about 3.8 ft of water\n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +}
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