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+{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter No - 10 : Mass Transfer\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example No : 10.1 - Page No. : 318"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "# Given data\n",
+ "P1=4 # in bar\n",
+ "P2=2 # in bar\n",
+ "T=25 # in degree C\n",
+ "Dhp=9*10**-8 # in m**2/s\n",
+ "S=3*10**-3 # in kg mole/m**3 bar\n",
+ "del_x=0.5*10**-3 # thickness in m\n",
+ "#(a) The molar concentration of a gas in terms of solubility\n",
+ "CH1=S*P1 # in kg mole/m**3\n",
+ "CH2=S*P2 # in kg mole/m**3\n",
+ "#(b) Molar diffusion flux of hydrogen through plastic memberence is given by Fick's law of diffision\n",
+ "#N_H= N_h/A = Dhp*(CH1-CH2)/del_x#\n",
+ "N_H= Dhp*(CH1-CH2)/del_x # in kg mole/s-m**2\n",
+ "print \"Molar diffusion flux of hydrogen through the membrane = %0.2e kg mole/s-m**2\" %N_H\n",
+ "#Mass_d_Flux= N_H*Molecular_Weight \n",
+ "Molecular_Weight=2#\n",
+ "Mass_d_Flux= N_H*Molecular_Weight \n",
+ "print \"Molar diffusion flux = %0.3e kg/s-m**2\" %Mass_d_Flux"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Molar diffusion flux of hydrogen through the membrane = 1.08e-06 kg mole/s-m**2\n",
+ "Molar diffusion flux = 2.160e-06 kg/s-m**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example No : 10.2 - Page No. : 322"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "T=25 # in degree C\n",
+ "T=T+273 # in K\n",
+ "P=1#\n",
+ "V1=12 #Molecular volume of H2 in cm**3/gm mole\n",
+ "V2=30 #Molecular volume of Air in cm**3/gm mole\n",
+ "M1=2 # Molecular weight of H2\n",
+ "M2=29 # Molecular weight of Air\n",
+ "#The diffusion coefficient for gases in terms of molecular volumes may be express as\n",
+ "D_AB= .0043*T**(3/2)/(P*(V1**(1/3)+V2**(1/3)))*(1/M1+1/M2)**(1/2)#\n",
+ "print \"The diffusion coefficient for gases in terms of molecular volumes = %0.3f cm**2/sec\" %D_AB"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The diffusion coefficient for gases in terms of molecular volumes = 2.997 cm**2/sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example No : 10.3 - Page No. : 322"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "T=300 # temp of gas mixture in K\n",
+ "D_HN2=18*10**-6 # in m**2/s at 300 K, 1 bar\n",
+ "T1=300 # in K\n",
+ "D_HO2=16*10**-6 # in m**2/s at 273 K, 1 bar\n",
+ "T2=273 # in K\n",
+ "O_2=0.2#\n",
+ "N_2=0.7#\n",
+ "H_2=0.1#\n",
+ "#The diffusivity at the mixture temperature and pressure are calculated as \n",
+ "# D1/D2 = (T1/T2)**(3/2)*(P2/P1)\n",
+ "D_HO2= (T/T2)**(3/2)*1/4*D_HO2#\n",
+ "D_HN2= (T/T1)**(3/2)*1/4*D_HN2#\n",
+ "#The composition of oxygen and nitrogen on a H2 free basis is \n",
+ "x_O= O_2/(1-H_2)#\n",
+ "x_N= N_2/(1-H_2)#\n",
+ "\n",
+ "# The effective diffusivity for the gas mixture at given temperature and pressure is\n",
+ "D= 1/(x_O/D_HO2+x_N/D_HN2) # in m**2/s\n",
+ "print \"Effective diffusivity = %0.3e m**2/s\" %D"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Effective diffusivity = 4.524e-06 m**2/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example No : 10.4 - Page No. : 323"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import pi\n",
+ "# Given data\n",
+ "d=3 # in mm\n",
+ "d=d*10**-3 # in meter\n",
+ "T=25 # in \u00b0C\n",
+ "T=T+273 # in K\n",
+ "D= 0.4*10**-4 # in m**2/s\n",
+ "R= 8314#\n",
+ "P_A1=1 # in atm\n",
+ "P_A1=P_A1*10**5 # in w/m**2\n",
+ "P_A2=0#\n",
+ "C_A2=0#\n",
+ "x2= 15 # in meter\n",
+ "x1= 0#\n",
+ "A= pi/4*d**2#\n",
+ "M_A= D*A/(R*T)*(P_A1-P_A2)/(x2-x1) # in kg mole/sec\n",
+ "N_B= M_A#\n",
+ "M_B= M_A*29 # in kg/sec\n",
+ "print \"Value of N_B = %0.3e kg mole/sec\" %N_B\n",
+ "print \"Value of M_B = %0.3e kg /sec\" %M_B"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of N_B = 7.608e-13 kg mole/sec\n",
+ "Value of M_B = 2.206e-11 kg /sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example No : 10.5 - Page No. : 325"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from math import log\n",
+ "# Given data\n",
+ "P=3 # in atm\n",
+ "P=P*10**5 # in N/m**2\n",
+ "r1=10 # in mm\n",
+ "r1=r1*10**-3 # in m\n",
+ "r2=20 # in mm\n",
+ "r2=r2*10**-3 # in m\n",
+ "R=4160 # in J/kg-K\n",
+ "T=303 # in K\n",
+ "D=3*10**-8 # in m**2/s\n",
+ "S=3*0.05# # Solubility of hydrogen at a pressure of 3 atm in m**3/m**3 of rubber tubing\n",
+ "del_x=r2-r1 # in m\n",
+ "L=1 # in m\n",
+ "Am=2*pi*L*del_x/log(r2/r1)#\n",
+ "#Formula P*V= m*R*T\n",
+ "V=S#\n",
+ "m=P*V/(R*T) # in kg/m**3 of rubber tubing at the inner surface of the pipe\n",
+ "C_A1=m#\n",
+ "C_A2=0#\n",
+ "#Diffusion flux through the cylinder is given\n",
+ "M=D*(C_A1-C_A2)*Am/del_x#\n",
+ "print \"Diffusion flux through the cylinder = %0.2e kg/sm\" %M"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Diffusion flux through the cylinder = 9.71e-09 kg/sm\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example No : 10.6 - Page No. : 329"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import pi\n",
+ "# Given data\n",
+ "R=4160 # in J/kg-K\n",
+ "M=2#\n",
+ "D_AB=1.944*10**-8 # in m**2/s\n",
+ "R_H2=R/M#\n",
+ "S=2*0.0532# # Solubility of hydrogen at a pressure of 2 atm in cm**3/cm**3 of pipe\n",
+ "P=2 # in atm\n",
+ "P=P*1.03*10**5 # N/m**2\n",
+ "T=25 # in degree C\n",
+ "T=T+273 # in K\n",
+ "r1=2.5 # in mm\n",
+ "r1=r1*10**-3 # in m\n",
+ "r2=5 # in mm\n",
+ "r2=r2*10**-3 # in m\n",
+ "del_x=r2-r1 # in m\n",
+ "L=1 # in m\n",
+ "#Formula P*V= m*R*T\n",
+ "V=S#\n",
+ "m=P*V/(R*T) # in kg/m**3 of pipe\n",
+ "# So, Concentration of H2 at inner surface of the pipe\n",
+ "C_A1=0.0176 # in kg/m**3\n",
+ "# The resistance of diffusion of H2 away from the outer surface is negligible i.e.\n",
+ "C_A2=0#\n",
+ "Am=2*pi*L*del_x/log(r2/r1)#\n",
+ "# Loss of H2 by diffusion \n",
+ "M_A= D_AB*(C_A1-C_A2)*Am/del_x#\n",
+ "print \"Loss of H2 by diffusion = %0.2ef kg/s\" %M_A"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Loss of H2 by diffusion = 3.10e-09f kg/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example No : 10.7 - Page No. : 330"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import pi\n",
+ "from math import log\n",
+ "# Given data\n",
+ "Px1= 0.14 # in bar\n",
+ "Px2= 0#\n",
+ "P=1.013 # in bar\n",
+ "Py1=P-Px1# # in bar\n",
+ "Py2=P-Px2# # in bar\n",
+ "D=8.5*10**-6 # in m**2/s\n",
+ "d=5 # diameter in meter\n",
+ "L=1 # in mm\n",
+ "L=L*10**-3 #in meter\n",
+ "M=78 # molecular weight\n",
+ "Am_x= 1/4*pi*d**2*M#\n",
+ "R=8314#\n",
+ "del_x=3 # thickness in mm\n",
+ "del_x=del_x*10**-3 # in m\n",
+ "T=20 # in degree C\n",
+ "T=T+273 # in K\n",
+ "P=P*10**5 # in N/m**2\n",
+ "m_x= D*Am_x*P*log(Py2/Py1)/(R*T*del_x)#\n",
+ "# The mass of the benzene to be evaporated\n",
+ "mass= 1/4*pi*d**2*L#\n",
+ "density=880 # in kg/m**3\n",
+ "m_b= mass*density#\n",
+ "toh=m_b/m_x # in sec\n",
+ "print \"Time taken for the entire organic compound to evaporate = %0.0f seconds\" %toh\n",
+ "\n",
+ "\n",
+ "# Note: Answer in the book is wrong"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time taken for the entire organic compound to evaporate = 644 seconds\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file