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+{
+ "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": {}
+ }
+ ]
+} \ No newline at end of file
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