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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:cffb7499e644cbe142eb25461633ec2cdaafe8ff11e84d4c7e11093fb9322221"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Chapter 7 : Similitude and Dimensional Analysis"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.2 Page No : 192"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\t\n",
+ "#Initialization of variables\n",
+ "Dratio = 8.\n",
+ "mu = 0.0006\n",
+ "rho = 52/32.2\n",
+ "vm = 1.22*10**-5 \t# lbs/ft**2\n",
+ "V = 45. # velocity - fps\n",
+ "Fm = 0.8\n",
+ "\t\n",
+ "#calculations\n",
+ "vp = round(mu/rho,7)\n",
+ "Vm = vm*V/(Dratio*vp)\n",
+ "Fratio = rho*V**2 /(1.94*Vm**2 *Dratio**2)\n",
+ "Fp = Fratio*Fm\n",
+ "\n",
+ "#Results\n",
+ "print \"velocity = %.2f fps\"%(Vm)\n",
+ "print \" Drag force = %d lb\"%(Fp)\n",
+ "\n",
+ "# note : The answer given in textbook for vp is wrong. Hence, the difference in answers\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "velocity = 0.18 fps\n",
+ " Drag force = 617 lb\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.3 Page No : 195"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math \n",
+ "\t\n",
+ "#Initialization of variables\n",
+ "L = 50.\n",
+ "Fm = 0.02 \t#N\n",
+ "Vm = 1. \t#m/s\n",
+ "\t\n",
+ "#calculations\n",
+ "Fp = L**3 *Fm \n",
+ "Fp = Fp*0.2248\n",
+ "Vp = math.sqrt(L) *Vm\n",
+ "Vp = Vp*3.28\n",
+ "Hp = Fp*Vp/550\n",
+ "\t\n",
+ "#Results\n",
+ "print \"Required horsepower = %.1f hp\"%(Hp)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Required horsepower = 23.7 hp\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file