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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