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authorThomas Stephen Lee2015-09-04 22:04:10 +0530
committerThomas Stephen Lee2015-09-04 22:04:10 +0530
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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