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{
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"name": "",
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 12 : Differential Distillation"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.2.1 pg : 359"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"import math \n",
"\t\n",
"#initialization of variables\n",
"l = 1.22 \t# length of tower\n",
"Gflow = 0.026 \t# mol/sec\n",
"GbyL = 0.07\n",
"dia = 0.088 \t# m\n",
"pl = 1.1/100\t# pl = 1-yl\n",
"p0 = 0.04/100 \t# p0 = 1-y0\n",
"\t\n",
"#Calculations\n",
"A = math.pi*(dia**2)/4 \t# cross sectional of tower in m**2\n",
"G = Gflow/A \t# Gas flux in mol/m**2-sec\n",
"Kya = (G/l)*(1/(1-GbyL))*(math.log(pl/p0))\t# Mass transfer per volume in mol/m**3-sec\n",
"\t\n",
"#Results\n",
"print \"The mass transfer per volume is %.1f mol/m**3-sec\"%(Kya)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The mass transfer per volume is 12.5 mol/m**3-sec\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.2.2 pg : 360"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"import math \n",
"\t\n",
"#initialization of variables\n",
"x1=0.99\n",
"x2=0.99\n",
"y1=0.95\n",
"y2=0.95\n",
"alpha=1.5\n",
"m=0.42\n",
"l=2\n",
"HTU=0.34\n",
"\t\n",
"#Calculations\n",
"y1s= (y1-0.58)/m\n",
"xrd= (x2-y2)/(x1-y1s)\n",
"Rd=xrd/(1-xrd)\n",
"Rds=alpha*Rd\n",
"xl= ((Rds+1)*y1 - x1)/(Rds)\n",
"\n",
"def ystar(y):\n",
" return 0.58+0.42*y\n",
"\n",
"NTU = math.log((ystar(xl) -y1)/(ystar(x1)-x1)) /(1- m*(Rds+1)/Rds)\n",
"NTU2=l/HTU\n",
"xd2=(ystar(y1)-y1)/math.e**(NTU2*(1-m))\n",
"xd=(0.58-xd2)/(1-m)\n",
"\t\n",
"#Results\n",
"print \"In case 1, NTU = %.1f\"%(NTU)\n",
"print \" In case 2, xd = %.3f\"%(xd)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"In case 1, NTU = 5.3\n",
" In case 2, xd = 0.998\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12.4.1 pg : 368"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy.linalg import solve\n",
"import math \n",
"\t\n",
"#initialization of variables\n",
"F=3500 \t#mol/hr\n",
"xf=0.4\n",
"x1=0.98\n",
"y1=0.97\n",
"y2=0.625\n",
"x1=0.97\n",
"x2=0.4\n",
"ratio=1.5\n",
"HTU=0.2\n",
"\t\n",
"#Calculations\n",
"A=[[1, 1],[x1, 1-x1]]\n",
"B=[[F],[xf*F]]\n",
"C = solve(A,B)\n",
"#C=A\\B\n",
"DA=C[0]\n",
"BA=C[1]\n",
"Rds=(y1-y2)/(x1-x2)\n",
"Rd=Rds/(1-Rds)\n",
"Rdreq=ratio*Rd\n",
"NTU=13.9\n",
"l=HTU*NTU\n",
"\t\n",
"#Results\n",
"print \"length of the tower = %.1f m\"%(l)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"length of the tower = 2.8 m\n"
]
}
],
"prompt_number": 4
}
],
"metadata": {}
}
]
}
|
