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-{

- "cells": [

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "# Chapter 9 : Theories of Mass Transfer"

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "## Example 9.1.1 pgno31"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 7,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "The film thickness is  cm 0.00765\n"

-     ]

-    }

-   ],

-   "source": [

-    "#initialization of variables\n",

-    "p1 = 10. # pressure in atm\n",

-    "H = 600. # henrys constant in atm\n",

-    "c1 = 0 # gmol/cc\n",

-    "N1 = 2.3*10**-6 # mass flux in mol/cm**2-sec\n",

-    "c = 1./18. #total Concentration in g-mol/cc\n",

-    "D = 1.9*10**-5 # Diffusion co efficient in cm**2/sec\n",

-    "#Calculations\n",

-    "c1i = (p1/H)*c # Component concentration in gmol/cc\n",

-    "k = N1/(c1i-c1)#Mass transfer co efficient in cm/sec\n",

-    "l = D/k # Film thickness in cm\n",

-    "#Results\n",

-    "print\"The film thickness is  cm\",round(l,5)\n",

-    "\n"

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "## Example 9.2.1 pgno:34"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 8,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "The contact time  sec 3.9\n",

-      "\n",

-      "The surface resident time  sec 3.0\n"

-     ]

-    }

-   ],

-   "source": [

-    "#initialization of variables\n",

-    "D = 1.9*10**-5 #Diffusion co efficient in cm**2/sec\n",

-    "k = 2.5*10**-3 # M.T.C in cm/sec\n",

-    "from math import pi\n",

-    "#Calculations\n",

-    "Lbyvmax = 4*D/((k**2)*pi)#sec\n",

-    "tou = D/k**2 # sec\n",

-    "#Results\n",

-    "print\"The contact time  sec\",round(Lbyvmax,1)\n",

-    "print\"\\nThe surface resident time  sec\",round(tou,1)\n"

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "## Example 9.3.1 pgno:35"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 9,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "The apparent m.t.c for the first case is  cm/sec 0.000379885493042\n",

-      "\n",

-      "The apparent m.t.c for the second case is  cm/sec 0.000742723884992\n",

-      "\n",

-      "The apparent is proportional to the power of  of the velocity 0.61\n"

-     ]

-    }

-   ],

-   "source": [

-    "#initialization of variables\n",

-    "const = 0.5 # The part of flow in the system which bypasses the region where the mass transfer occurs\n",

-    "v1 = 1. # cm/sec\n",

-    "al = 10**3\n",

-    "k = 10**-3 # cm/sec\n",

-    "v2 = 3. # cm/sec\n",

-    "from math import log\n",

-    "from math import exp\n",

-    "#Calculations\n",

-    "C1byC10first = const + (1-const)*(exp(-k*al/v1))# c1/c10\n",

-    "appk1 = (v1/al)*(log(1/C1byC10first))# Apparent m.t.c for first case in cm/sec\n",

-    "C1byC10second = const + (1-const)*(exp(-((3)**0.5)*k*al/v2))#c1/c10 in second case\n",

-    "appk2 = (v2/al)*log(1/C1byC10second)# apparent m.t.c for second case in cm/sec\n",

-    "power = log(appk2/appk1)/log(v2/v1)\n",

-    "#Results\n",

-    "print\"The apparent m.t.c for the first case is  cm/sec\",appk1\n",

-    "print\"\\nThe apparent m.t.c for the second case is  cm/sec\",appk2\n",

-    "print\"\\nThe apparent is proportional to the power of  of the velocity\",round(power,2)\n"

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "## Example 9.4.1 pgno:37"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 10,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "The average mass transfer coefficient is  cm/sec 0.000431530124388\n"

-     ]

-    }

-   ],

-   "source": [

-    "#initialization of variables\n",

-    "D = 1*10**-5 #cm**2/sec\n",

-    "d = 2.3 # cm\n",

-    "L = 14 # cm\n",

-    "v0 = 6.1 # cm/sec\n",

-    "#gamma(4./3.)=0.8909512761;\n",

-    "#calculations\n",

-    "k = ((3**(1./3.))/(0.8909512761))*((D/d))*(((d**2)*v0/(D*L))**(1./3.))# cm/sec\n",

-    "#Results\n",

-    "print\"The average mass transfer coefficient is  cm/sec\",k\n"

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "## Example 9.4.2 pgno:40"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 6,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "The distance at which turbulent flow starts is  cm 300.0\n",

-      "\n",

-      "The boundary layer for flow at this point is  cm 300.0\n",

-      "\n",

-      "The boundary layer for concentration at this point is  cm 300.0\n",

-      "\n",

-      "The local m.t.c at the leading edge and at the position of transistion is  x10**-5 cm/sec 0.589714620247\n"

-     ]

-    }

-   ],

-   "source": [

-    "#initialization of variables\n",

-    "tn = 300000 # turbulence number\n",

-    "v0  = 10 # cm/sec\n",

-    "p = 1 # g/cc\n",

-    "mu = 0.01 # g/cm-sec\n",

-    "delta = 2.5 #cm\n",

-    "D = 1*10**-5 # cm**2/sec\n",

-    "#Calculations\n",

-    "x = tn*mu/(v0*p)# cm\n",

-    "delta = ((280/13)**(1/2))*x*((mu/(x*v0*p))**(1/2))#cm\n",

-    "deltac = ((D*p/mu)**(1/3))*delta#cm\n",

-    "k = (0.323*(D/x)*((x*v0*p/mu)**0.5)*((mu/(p*D))**(1/3)))*10**5# x*10**-5 cm/sec\n",

-    "#Results\n",

-    "print\"The distance at which turbulent flow starts is  cm\",x\n",

-    "print\"\\nThe boundary layer for flow at this point is  cm\",delta\n",

-    "print\"\\nThe boundary layer for concentration at this point is  cm\",deltac\n",

-    "print\"\\nThe local m.t.c at the leading edge and at the position of transistion is  x10**-5 cm/sec\",k\n"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": null,

-   "metadata": {

-    "collapsed": true

-   },

-   "outputs": [],

-   "source": []

-  }

- ],

- "metadata": {

-  "kernelspec": {

-   "display_name": "Python 2",

-   "language": "python",

-   "name": "python2"

-  },

-  "language_info": {

-   "codemirror_mode": {

-    "name": "ipython",

-    "version": 2

-   },

-   "file_extension": ".py",

-   "mimetype": "text/x-python",

-   "name": "python",

-   "nbconvert_exporter": "python",

-   "pygments_lexer": "ipython2",

-   "version": "2.7.9"

-  }

- },

- "nbformat": 4,

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