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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": {}
+  }
+ ]
+}
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