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diff --git a/Fluidization_Engineering/ch3.ipynb b/Fluidization_Engineering/ch3.ipynb deleted file mode 100755 index 72abab33..00000000 --- a/Fluidization_Engineering/ch3.ipynb +++ /dev/null @@ -1,267 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:c2d23a740208e3823c43d8afcfc0ef305894f28fcd5f9e9793f1f1c6fe8b25f1" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter 3 : Fluidization and Mapping of Regimes" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1, Page 68\n" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "\n", - "weight = [0,60,150,270,330,360.0]; # Weight in grams for the oversized particles\n", - "psize = [50,75,100,125,150,175]; #PSD in micrometers\n", - "\n", - "#CALCULATION\n", - "l = len(psize); # To obtain the size of input array\n", - "# Computation of sauter mean diameter for the given PSD\n", - "i = 0;\n", - "dpi = [0,0,0,0,0,0]\n", - "weightf = [0,0,0,0,0,0]\n", - "dp = [0,0,0,0,0,0]\n", - "while i<l-1:\n", - " dpi[i]=(psize[i]+ psize[i+1])/2.0;\n", - " weightf[i]=(weight[i+1]-weight[i])/weight[5]; \n", - " dp[i]=weightf[i]/float(dpi[i]); \n", - " i=i+1;\n", - "\n", - "dpbar=1/sum(dp); #Calculation of average particle daimeter Eq.(15)\n", - "\n", - "#OUTPUT\n", - "print '\\n The Sauter mean diameter of the material with the given particle size distribution = %.0f micrometer'%dpbar\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " The Sauter mean diameter of the material with the given particle size distribution = 98 micrometer\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2, Page 76\n" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Estimation of Minimum fluidizing velocity\n", - "\n", - "#INPUT\n", - "ephsilon=0.55; #Void fraction of bed\n", - "rhog=0.0012; #Density of gas in g/cc\n", - "myu=.00018; #Viscosity of gas in g/cm s\n", - "dpbar=0.016; #Mean diameter of solids in centimeter\n", - "phis=0.67; #Sphericity of solids\n", - "rhos=2.6; #Density of solids in g/cc\n", - "g=980; #Acceleration due to gravity in square cm/s**2\n", - "\n", - "#CALCULATION\n", - "#Computation of umf using the simplified equation for small particles\n", - "umf=((dpbar**2)*(rhos-rhog)*g*(ephsilon**3)*(phis**2))/(150*myu*(1-ephsilon));#Simplified equation to calculate minimum fluidizing velocity \n", - " #for small particles Eq.(21)\n", - "Re=(dpbar*umf*rhog)/myu;#To calculate Reynolds number for particle\n", - "\n", - "#Computation of umf if neither void fraction of bed nor sphericity is known\n", - "c1=28.7\n", - "c2=0.0494; #Value of constants from Table 4, page 70\n", - "umf1=(myu/(dpbar*rhog))*(((c1**2)+((c2*(dpbar**3)*rhog*(rhos-rhog)*g)/(myu**2)))**0.5-c1); #Equation to calculate minimum fluidizing velocity \n", - " #for coarse particles Eq.(25)\n", - "err=((umf-umf1)/umf)*100; #Calculation of error from experimental value\n", - "\n", - "#OUTPUT\n", - "if Re<20:\n", - "\tprint 'The particle Reynolds no = %f'%Re\n", - "\tprint 'The simplified equation used for calculating minimum fluidizing velocity is valid.'\n", - "\n", - "print 'The minimum fluidizing velocity by simplified equation for small particles = %.2fcm/s'%umf\n", - "print 'The minimum fluidizing velocity by equation for coarse partilces = %.2fcm/s'%umf1\n", - "print 'This value is %d percent below the experimentally reported value.'%err\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The particle Reynolds no = 0.427493\n", - "The simplified equation used for calculating minimum fluidizing velocity is valid.\n", - "The minimum fluidizing velocity by simplified equation for small particles = 4.01cm/s\n", - "The minimum fluidizing velocity by equation for coarse partilces = 3.10cm/s\n", - "This value is 22 percent below the experimentally reported value.\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3, Page 82\n" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "\n", - "rhog=1.2e-3; #Density of air in g/cc\n", - "myu=1.8e-4 #Viscosity of air in g/cm s\n", - "dpbar=0.016 #Mean diameter of solids in centimeter\n", - "phis=0.67; #Sphericity of solids\n", - "rhos=2.6; #Density of solids in g/cc\n", - "g=980 #Acceleration due to gravity in square cm/s**2\n", - "\n", - "#CALCULATION\n", - "dpstar=dpbar*((rhog*(rhos-rhog)*g)/myu**2)**(1/3.0); #Calculation of dimensionless particle size Eq.(31)\n", - "utstar=((18/(dpstar**2))+(2.335-(1.744*phis))/(dpstar**0.5))**-1; #Calculation of dimensionless gas velocity Eq.(33)\n", - "ut=utstar*((myu*(rhos-rhog)*g)/rhog**2)**(1/3.0); #Calculation of terminal velocity of falling particles Eq.(32)\n", - "\n", - "\n", - "#OUTPUT\n", - "print 'The dimensionless particle size = %.2f'%dpstar\n", - "print 'The dimensionless gas velocity = %.3f'%utstar\n", - "print 'The terminal velocity of falling particles = %d cm/s'%ut\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The dimensionless particle size = 7.28\n", - "The dimensionless gas velocity = 1.296\n", - "The terminal velocity of falling particles = 88 cm/s\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4, Page 91\n" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "\n", - "rhos=1.5; #Density of Solid in g/cc\n", - "uo1=40; uo2=80; #Superficial gas velocity in cm/s\n", - "dp1=0.006; dp2=0.045; #Particle size in centimeter\n", - "rhog1=1.5E-3; rhog2=1E-3; #Density of gas in g/cc\n", - "myu1=2E-4; myu2=2.5E-4; #Viscosity of air in g/cm s\n", - "g=980; #Acceleration due to gravity in square cm/s**2\n", - "\n", - "#CALCULATION\n", - "#for smaller particles\n", - "dpstar1=dp1*((rhog1*(rhos-rhog1)*g)/myu1**2)**(1/3.0); #Calculation of dimensionless particle diamter Eq.(31)\n", - "uostar1=uo1*((rhog1**2)/((myu1)*(rhos-rhog1)*g))**(1/3.0);\n", - "uostar2=uo2*((rhog1**2)/((myu1)*(rhos-rhog1)*g))**(1/3.0); #Calculation of dimensionless superficial gas velocity Eq.(32)\n", - "\n", - "#for larger particles \n", - "dpstar2=dp2*((rhog2*(rhos-rhog2)*g)/myu2**2)**(1/3.0); #Calculation of dimensionless particle diamter Eq.(31)\n", - "uostar3=uo1*((rhog2**2)/((myu2)*(rhos-rhog2)*g))**(1/3.0);\n", - "uostar4=uo2*((rhog2**2)/((myu2)*(rhos-rhog2)*g))**(1/3.0); #Calculation of dimensionless superficial gas velocity Eq.(32)\n", - "\n", - "\n", - "#OUTPUT\n", - "print 'For particle of size %.3f centimeter'%dp1\n", - "print 'The dimensionless particle diameter = %.2f'%dpstar1\n", - "print 'The dimensionless superficial gas velocity = %.4fcm/s(for superficial gas velocity of %dcm/s)'%(uostar1,uo1)\n", - "print 'The dimensionless superficial gas velocity = %.3fcm/s(for superficial gas velocity of %dcm/s)'%(uostar2,uo2)\n", - "print 'From Fig.16(page 89)comparing u*=%.4f vs dp*=%.2f'%(uostar1,dpstar1)\n", - "print 'For Superficial gas velocity =%d Mode of Fluidization:Onset of turbulent fluidization in an ordinary bubbling bed'%(uo1)\n", - "print 'From Fig.16(page 89)comparing u* =%.3f vs dp* =%f'%(uostar2,dpstar1)\n", - "print 'For Superficial gas velocity =%f Mode of Fluidization:Fast fluidization(requires a circulating solid system)'%(uo2)\n", - "print 'For particle of size %f centimeter'%(dp2)\n", - "print 'The dimensionless particle diameter = %f'%(dpstar2)\n", - "print 'The dimensionless superficial gas velocity = %fcm/s(for superficial gas velocity of %fcm/s)'%(uostar3,uo1)\n", - "print 'The dimensionless superficial gas velocity = %fcm/s(for superficial gas velocity of %fcm/s)'%(uostar4,uo2)\n", - "print 'From Fig.16(page 89)comparing u*=%f vs dp*=%f'%(uostar3,dpstar2)\n", - "print 'For Superficial gas velocity =%f Mode of Fluidization:Bublling Fluidization'%(uo1)\n", - "print 'From Fig.16(page 89)comparing u* =%f vs dp* =%f'%(uostar4,dpstar2)\n", - "print 'For Superficial gas velocity =%f Mode of Fluidization:Bubbling Fluidization'%(uo2)\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "For particle of size 0.006 centimeter\n", - "The dimensionless particle diameter = 2.28\n", - "The dimensionless superficial gas velocity = 0.7885cm/s(for superficial gas velocity of 40cm/s)\n", - "The dimensionless superficial gas velocity = 1.577cm/s(for superficial gas velocity of 80cm/s)\n", - "From Fig.16(page 89)comparing u*=0.7885 vs dp*=2.28\n", - "For Superficial gas velocity =40 Mode of Fluidization:Onset of turbulent fluidization in an ordinary bubbling bed\n", - "From Fig.16(page 89)comparing u* =1.577 vs dp* =2.282737\n", - "For Superficial gas velocity =80.000000 Mode of Fluidization:Fast fluidization(requires a circulating solid system)\n", - "For particle of size 0.045000 centimeter\n", - "The dimensionless particle diameter = 12.890262\n", - "The dimensionless superficial gas velocity = 0.558561cm/s(for superficial gas velocity of 40.000000cm/s)\n", - "The dimensionless superficial gas velocity = 1.117122cm/s(for superficial gas velocity of 80.000000cm/s)\n", - "From Fig.16(page 89)comparing u*=0.558561 vs dp*=12.890262\n", - "For Superficial gas velocity =40.000000 Mode of Fluidization:Bublling Fluidization\n", - "From Fig.16(page 89)comparing u* =1.117122 vs dp* =12.890262\n", - "For Superficial gas velocity =80.000000 Mode of Fluidization:Bubbling Fluidization\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [] - } - ], - "metadata": {} - } - ] -}
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