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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:502044f71f0f4f73ada9ff3f4a68fa509018810bcbdaf16eaa17d381758e9755"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 5 : Bubbles in Dense Beds"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 1, Page 126\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "dt=60.0; #ID of tube in cm \n",
+ "dp=300; #Size of particles of bed in micrometers\n",
+ "umf=3; #Velocity at minimum fluidization condition in cm/s\n",
+ "ephsilonmf=0.5; #Void fraction of bed at minimum fluidization condition\n",
+ "db=5; #Diameter of bubble in cm\n",
+ "g=980; #Acceleration due to gravity in cm/s**2\n",
+ "\n",
+ "#CALCULATION\n",
+ "#Computation of rise velocity of bubble\n",
+ "if (db/dt)<0.125:\n",
+ " ubr=(0.711*((g*db)**0.5));#Rise velocity by Eqn.(3)\n",
+ "elif (db/dt)<0.6:\n",
+ " ubr=(0.711*((g*db)**0.5))*1.2*exp(-1.49*(db/dt));#Rise velocity by Eqn.(4) \n",
+ "\n",
+ "#Computation of cloud thickness\n",
+ "Rb=db/2.0; #Radius of bubble\n",
+ "uf=umf/ephsilonmf; #Velocity of emulsion gas\n",
+ "Rc=Rb*((ubr+(2*uf))/(ubr-uf))**(1/3.0);#Radius of cloud by Eqn.(6)\n",
+ "\n",
+ "#OUTPUT\n",
+ "print 'The rise velocity of the bubble=%.1f cm/s'%ubr\n",
+ "print 'The cloud thickness=%.2f cm'%(Rc-Rb)\n",
+ "print 'From Fig.8(page 124)comparing fw vs dp, for dp = %.0f micrometer, wake fraction = 0.24'%dp\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The rise velocity of the bubble=49.8 cm/s\n",
+ "The cloud thickness=0.30 cm\n",
+ "From Fig.8(page 124)comparing fw vs dp, for dp = 300 micrometer, wake fraction = 0.24\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 2, Page 132\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "\n",
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "uo=15; #Superificial gas velocity in cm/s\n",
+ "umf=1; #Velocity at minimum fluidization condition in cm/s\n",
+ "lor=2.0; #Pitch of perforated plate in cm\n",
+ "g=980; #Acceleration due to gravity in cm/s**2\n",
+ "#CALCULATION\n",
+ "#Case(a) For porous plate\n",
+ "dbo1=(2.78/g)*(uo-umf)**2;#Initial bubble size using Eqn.(19)\n",
+ "\n",
+ "#Case(b) For Perforated plate\n",
+ "Nor=(2/math.sqrt(3))*(1/lor)**2;#Number of orifices in cm**-2\n",
+ "dbo2=(1.30/(g**0.2))*((uo-umf)/Nor)**0.4;#Initial bubble size using Eqn.(15) assuming inital bubble size is smaller than hole spacing\n",
+ "\n",
+ "#OUTPUT\n",
+ "print 'Case(a) For porous plate'\n",
+ "print '\\tInitial bubble size=%.2fcm'%dbo1\n",
+ "print 'Case(b) For Perforated plate'\n",
+ "print '\\tInitial bubble size=%.2fcm'%dbo2\n",
+ "print '\\tSince %f<%f, the equation used is correct.'%(dbo2,lor)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Case(a) For porous plate\n",
+ "\tInitial bubble size=0.56cm\n",
+ "Case(b) For Perforated plate\n",
+ "\tInitial bubble size=1.55cm\n",
+ "\tSince 1.548765<2.000000, the equation used is correct.\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file