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+{
+ "metadata": {
+  "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 13 : The Dispersion ,Wodel"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 13.1 page no : 305"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "import math \n",
+      "\n",
+      "# Variables\n",
+      "T = [0,5,10,15,20,25,30,35];       # time\n",
+      "Cpulse = [0,3,5,5,4,2,1,0];        # gm/liter \n",
+      "sum1 = 0;\n",
+      "sum2 = 0\n",
+      "sum3 = 0;\n",
+      "\n",
+      "# Calculations\n",
+      "for i in range(8):\n",
+      "    sum1 = sum1+Cpulse[i];\n",
+      "    sum2 = sum2+Cpulse[i]*T[i];\n",
+      "    sum3 = sum3+Cpulse[i]*T[i]*T[i];\n",
+      "\n",
+      "t = sum2/sum1;\n",
+      "sigma_sqr = (sum3/sum1)-((sum2/sum1))**2;\n",
+      "sigmatheta_sqr = sigma_sqr/t**2;\n",
+      "m = 0.1\n",
+      "\n",
+      "while m <= 0.2:\n",
+      "    sigmat_sqr = 2*m-2*(m**2)*(1-math.exp(-(1./m)));\n",
+      "    if sigmat_sqr >=  sigmatheta_sqr:\n",
+      "        break;\n",
+      "    m += 0.001\n",
+      "\n",
+      "# Results\n",
+      "print \" The vessel print ersion number is %.3f\"%(m)\n",
+      "\n",
+      "# answer may vary because of rounding error."
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " The vessel print ersion number is 0.100\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 13.2 pageno : 306"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "# Variables\n",
+      "l = 1219.;             # long diameter\n",
+      "u = 0.0067;            #Velocity(mm/s)  \n",
+      "\n",
+      "#Using the probability graph\n",
+      "t1 = 178550.\n",
+      "#84th percentile point fall at\n",
+      "t2 = 187750.;\n",
+      "\n",
+      "# Calculations\n",
+      "sigma = (t2-t1)/2;\n",
+      "t = l/u;\n",
+      "sigma_theta = sigma/t;\n",
+      "#Vessel print ersion number\n",
+      "d = sigma_theta**2/2;\n",
+      "\n",
+      "# Results\n",
+      "print \" The vessel print ersion number is %.5f\"%(d)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " The vessel print ersion number is 0.00032\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 13.3 page no : 308"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "# Variables\n",
+      "v = 0.4;                # bed voidage\n",
+      "u = 1.2;                # velocity of fluid\n",
+      "l = 90.                 #length(cm)\n",
+      "sigma1_sqr = 39.        # output signals\n",
+      "sigma2_sqr = 64.        # output signals    \n",
+      "\n",
+      "# Calculations\n",
+      "dsigma_sqr = sigma2_sqr-sigma1_sqr;\n",
+      "t = l*v/u;\n",
+      "sigmatheta_sqr = dsigma_sqr/t**2;\n",
+      "d = sigmatheta_sqr/2;\n",
+      "\n",
+      "# Results\n",
+      "print \" The vessel print ersion number is %.4f\"%(d)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " The vessel print ersion number is 0.0139\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [],
+     "language": "python",
+     "metadata": {},
+     "outputs": []
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
\ No newline at end of file