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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:38d704564aa6536fc6da296a78f2a33e8cb9eb20a3ce0fa8f700546de7fd07b5"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 9: Similarity"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.1, Page 291"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "\n",
+ " #Initializing the variables\n",
+ "Vp = 10;\n",
+ "LpByLm = 20;\n",
+ "rhoPbyRhoM = 1;\n",
+ "muPbymuM = 1;\n",
+ " #Calculations\n",
+ "Vm = Vp*LpByLm*rhoPbyRhoM*muPbymuM;\n",
+ " \n",
+ "print \"Mean water tunnel flow velocity (m/s) :\",Vm"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mean water tunnel flow velocity (m/s) : 200\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.2, Page 292"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ " \n",
+ "\n",
+ " #Initializing the variables\n",
+ "Vp = 3;\n",
+ "LpByLm = 30;\n",
+ "rhoPbyRhoM = 1;\n",
+ "muPbymuM = 1;\n",
+ "\n",
+ " #Calculations\n",
+ "Vm = Vp*LpByLm*rhoPbyRhoM*muPbymuM;\n",
+ " \n",
+ "print \"Mean water tunnel flow velocity (m/s):\",Vm"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mean water tunnel flow velocity (m/s): 90\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.3, Page 293"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ " \n",
+ "\n",
+ " #Initializing the variables\n",
+ "Vp = 100;\n",
+ "cP = 340;\n",
+ "cM = 295;\n",
+ "rhoM = 7.7;\n",
+ "rhoP = 1.2;\n",
+ "muM = 1.8*10**-5;\n",
+ "muP = 1.2*10**-5;\n",
+ "\n",
+ " #Calculations\n",
+ "Vm = Vp*(cM/cP);\n",
+ "LmByLp = 1/((Vm/Vp)*(muM/muP)*(rhoM/rhoP));\n",
+ "FmByFp = (rhoM/rhoP)*(Vm/Vp)**2*(LmByLp)**2;\n",
+ "\n",
+ "print 'Mean wind tunnel flow velocity(m/s) :',round(Vm,2)\n",
+ "print \"Percentage ratio of forces (%) :\",round(FmByFp*100,2)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mean wind tunnel flow velocity(m/s) : 86.76\n",
+ "Percentage ratio of forces (%) : 6.93\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.4, Page 295"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ " \n",
+ "\n",
+ " #Initializing the variables\n",
+ "def pLossRatio(RatRho,RatMu,RatL):\n",
+ " Z = RatRho*RatMu**2*RatL**2;\n",
+ " return Z\n",
+ "\n",
+ " #Calculations\n",
+ " #Case (a) : water is used\n",
+ "RatRho = 1;\n",
+ "RatMu = 1;\n",
+ "RatL = 10;\n",
+ "print \"(a)Ratio of pressure losses between the model and the prototype if water is used :\",pLossRatio(RatRho,RatMu,RatL)\n",
+ "\n",
+ "# Case (b) : air is used\n",
+ "RatRho = 1000/1.23;\n",
+ "RatMu = 1.8*10**-5/10**-3;\n",
+ "\n",
+ "print \"(b)Ratio of pressure losses between the model and the prototype if air is used :\",round(pLossRatio(RatRho,RatMu,RatL),2)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)Ratio of pressure losses between the model and the prototype if water is used : 100\n",
+ "(b)Ratio of pressure losses between the model and the prototype if air is used : 26.34\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.5, Page 296"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ " \n",
+ " #Initializing the variables\n",
+ "scale = 1/50;\n",
+ "ratArea = scale**2;\n",
+ "Qp = 1200;\n",
+ "\n",
+ " #Calculations\n",
+ "LmByLp = (ratArea)**0.5;\n",
+ "VmByVp = (LmByLp)**0.5;\n",
+ "Qm = Qp*ratArea*VmByVp;\n",
+ "\n",
+ "print \"Water flow rate (m3/s ):\",round(Qm,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Water flow rate (m3/s ): 0.068\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.6, Page 298"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ " \n",
+ " #Initializing the variables\n",
+ "Qa = 2;\n",
+ "Na = 1400;\n",
+ "rhoA = 0.92;\n",
+ "rhoS = 1.3;\n",
+ "DaByDs = 1;\n",
+ "dPa = 200;\n",
+ "\n",
+ " #Calculations\n",
+ "Ns = Na*(rhoA/rhoS)*(DaByDs);\n",
+ "Qs = Qa*(Ns/Na);\n",
+ "dPs = dPa *(rhoS/rhoA)*(Ns/Na)**2*(1/DaByDs)**2;\n",
+ "\n",
+ "print \"Fan test speed (rev/s):\",round(Ns,1)\n",
+ "print \"Flow rate (m3/s) :\",round(Qs,3)\n",
+ "print \"Pressure rise (N/m2 ) :\",round(dPs,1) "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Fan test speed (rev/s): 990.8\n",
+ "Flow rate (m3/s) : 1.415\n",
+ "Pressure rise (N/m2 ) : 141.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.8, Page 304"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ " \n",
+ "\n",
+ " #Initializing the variables\n",
+ "V = 300 # Volume rate\n",
+ "w = 3;\n",
+ "d = 65;\n",
+ "l = 30;\n",
+ "scaleH = 30/1000/18;\n",
+ "scaleV = 1/60;\n",
+ "ZmByZr = 1/60;\n",
+ "LmByLr = 1/600;\n",
+ "rho = 1000;\n",
+ "mu = 1.14*10**-3;\n",
+ "\n",
+ " #Calculations\n",
+ "Vr = V/(w*d); \n",
+ "Vm =Vr*(ZmByZr)**0.5;\n",
+ "m = (w*d*scaleH*scaleV)/(d*scaleH + 2*w*scaleV);\n",
+ "Rem = rho*Vm*m/mu;\n",
+ "TmByTr = LmByLr*(1/ZmByZr)**0.5;\n",
+ "Tm = 12.4*60*TmByTr;\n",
+ "\n",
+ "\n",
+ "\n",
+ "print \"Tidal Period (minutes):\",round(Tm,1)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Tidal Period (minutes): 9.6\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-21 09:39:17 +0000