{ "metadata": { "name": "", "signature": "sha256:30849a845cb23e6184901c441ceb4a2e2451d5db6a2c0f60dce1b23531e4d077" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 2 : Similarity" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.1 Page No : 23" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\t\n", "#initialisation of variables\n", "r= 4.\n", "l1= 4 \t#units long axis\n", "l2= 10 \t#units long axis\n", "\t\n", "#CALCULATIONS\n", "sxy= (4/r)\n", "sxy1= l1**2\n", "sxy2= l2**2\n", "\t\n", "#RESULTS\n", "print 'x**2+4*y**2 = %.f '%(sxy)\n", "print ' x**2+4*y**2 = %.f '%(sxy1)\n", "print ' x**2+4*y**2 = %.f '%(sxy2)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "x**2+4*y**2 = 1 \n", " x**2+4*y**2 = 16 \n", " x**2+4*y**2 = 100 \n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.3 Page No : 29" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "\n", "#initialisation of variables\n", "vo= 10 \t#ft/sec\n", "a= 0.5 \t#ft**-1\n", "b= 1 \t#ft\n", "x= -2 \t#ft\n", "y= 2 \t#ft\n", "b1= 2\n", "a1= 3./5 \t#ft\n", "\t\n", "#CALCULATIONS\n", "Vx= vo/(a*x**2+b)\n", "Vy= -2*a*b*vo*x*y/(a*x**2+b)**2\n", "V= math.sqrt(Vx**2+Vy**2)\n", "fx= -2*a*b**2*vo**2*x/(a*x**2+b)**3\n", "fy= 2*a*b**2*vo**2*y*(b-a*x**2)/(a*x**2+b)**4\n", "f= math.sqrt(fx**2+fy**2)\n", "r= b1**2/a1\n", "f1= f*r\n", "\t\n", "#RESULTS\n", "print 'Vx = %.2f ft/sec'%(Vx)\n", "print ' Vy = %.2f ft/sec'%(Vy)\n", "print ' V = %.2f ft/sec'%(V)\n", "print ' fx = %.2f ft/sec**2'%(fx)\n", "print ' fy = %.2f ft/sec**2'%(fy)\n", "print ' f = %.2f ft/sec**2'%(f)\n", "print ' r = %.2f in the present case'%(r)\n", "print ' f1 = %.2f ft/sec**2'%(f1)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Vx = 3.33 ft/sec\n", " Vy = 4.44 ft/sec\n", " V = 5.56 ft/sec\n", " fx = 7.41 ft/sec**2\n", " fy = -2.47 ft/sec**2\n", " f = 7.81 ft/sec**2\n", " r = 6.67 in the present case\n", " f1 = 52.05 ft/sec**2\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.4 Page No : 36" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\t\n", "#initialisation of variables\n", "r= 1./5\n", "b1= 2 \t#ft\n", "a1= 3./5 \t#ft\n", "\t\n", "#CALCULATIONS\n", "r= (a1*b1)**2*r\n", "\t\n", "#RESULTS\n", "print 'ratio of resultant forces acting on coorresponding fluid elements = %.3f '%(r)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "ratio of resultant forces acting on coorresponding fluid elements = 0.288 \n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.5 Page No : 44" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\t\n", "#initialisation of variables\n", "vos= 70. \t#ft/sec\n", "as1= 78. \t#ft density\n", "am= 72. \t#ft wind-tunnel\n", "ls1= 6. \t#ft strut section\n", "lm= 2. \t#ft length\n", "um= 386. \t#ft/sec\n", "us= 372. \t#ft/sec\n", "dm= 0.4\n", "\t\n", "#CALCULATIONS\n", "vom= vos*as1*ls1*um/(am*lm*us)\n", "Ds= dm*(am/as1)*(us/um)**2\n", "\t\n", "#RESULTS\n", "print 'Air speed = %.f ft/sec'%(vom)\n", "print ' Ds = %.3f lbf'%(Ds)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Air speed = 236 ft/sec\n", " Ds = 0.343 lbf\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.6 Page No : 45" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\t\n", "#initialisation of variables\n", "vom= 236. \t#ft/sec\n", "as1= 0.072 \t#ft\n", "am = 62.4 \t#ft density of water\n", "ls1= 2. \t#ft\n", "lm= 8. \t#ft\n", "um= 248. \t#ft/sec viscosity\n", "us= 3.86 \t#ft/sec\n", "Pm= 0.4/3.3\n", "\t\n", "#CALCULATIONS\n", "voh= vom*as1*ls1*um/(am*lm*us)\n", "Ds= Pm*(as1/am)*(um/us)**2*(ls1/lm)*(lm-ls1)\n", "\t\n", "#RESULTS\n", "print 'Air speed = %.2f ft/sec'%(voh)\n", "print ' Drag force = %.3f lbf'%(Ds)\n", "\n", "# note : rounding off error" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Air speed = 4.37 ft/sec\n", " Drag force = 0.866 lbf\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.7 Page No : 51" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math \n", "\t\n", "#initialisation of variables\n", "To1= 540. \t#R temperature\n", "po3= 12.6 \t#lbf/in**2\n", "l3= 3. \t#ft\n", "po1= 14.7 \t#lbf/in**2 pressure\n", "l1= 1. \t#ft\n", "vo1= 500. \t#ft/sec velocity\n", "r= 0.83\n", "P1= 1. \t#lbf/in**2 turbine blade\n", "\t\n", "#CALCULATIONS\n", "To3= To1*(po3*l3/(po1*l1))**r\n", "Vo3= vo1*math.sqrt(To3/To1)\n", "P3= P1*po3*l3/(po1*l1)\n", "\t\n", "#RESULTS\n", "print 'To3 = %.f R'%(To3)\n", "print ' Vo3 = %.f ft/sec'%(Vo3)\n", "print ' P3 = %.2f lbf/ft'%(P3)\n", "\n", "# note : book answers are not accurate." ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "To3 = 1183 R\n", " Vo3 = 740 ft/sec\n", " P3 = 2.57 lbf/ft\n" ] } ], "prompt_number": 4 } ], "metadata": {} } ] }