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{
"metadata": {
"name": "",
"signature": "sha256:2221589d3a230bd5e1c3d095a5ede0c1e2f30a613887d893f353723197c86dd5"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 7 : Flow Through Packed Beds\n"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\n",
"example 7.1 page no : 136"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"import math \n",
"\n",
"# Initialization of Variable\n",
"mu = 1.83/1000\n",
"rhom = 1.355*10000 #density mercury\n",
"K = 5.\n",
"g = 9.81\n",
"d = 2.5/100\n",
"pi = 3.14\n",
"thik = 2.73/100\n",
"rho = 3100. #density of particles\n",
"Q = 250./(12.*60+54)/10.**6\n",
"\n",
"#calculation\n",
"A = pi*d**2./4.\n",
"Vb = A*thik #volume of bed\n",
"Vp = 25.4/rho/1000 #volume of particles\n",
"e = 1-Vp/Vb\n",
"u = Q/A\n",
"delP = 12.5/100*rhom*g\n",
"S = math.sqrt(e**3*delP/K/u/thik/mu/(1-e)**2)\n",
"S = round(S/1000)*1000.\n",
"d = 6./S\n",
"print \"average particle diameter in (x10**-6m) %.4f\"%(d*10**6)\n",
"A = pi*d**2./1000/(4./3*pi*d**3/8*rho)\n",
"print \"surface area per gram of cement (cm**2): %.4f\"%(A*10**4)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"average particle diameter in (x10**-6m) 47.6190\n",
"surface area per gram of cement (cm**2): 406.4516\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"example 7.2 page no : 138"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"import math \n",
"\n",
"# Initialization of Variable\n",
"mu = 2.5/1000\n",
"rho = 897.\n",
"g = 9.81\n",
"pi = 3.1414\n",
"K = 5.1\n",
"l = 6.35/1000\n",
"d = l\n",
"hei = 24.5+0.65\n",
"len = 24.5\n",
"dc = 2.65 #dia of column\n",
"thik = 0.76/1000\n",
"Vs = pi*d**2/4*l-pi*l/4*(d-2*thik)**2 #volume of each ring\n",
"n = 3.023*10**6\n",
"e = 1-Vs*n\n",
"e = round(e*1000)/1000.\n",
"Surfacearea = pi*d*l+2*pi*d**2/4+pi*(d-2*thik)*l-2*pi*(d-2*thik)**2/4\n",
"S = Surfacearea/Vs\n",
"S = round(S)\n",
"delP = hei*g*rho\n",
"delP = round(delP/100.)*100.\n",
"u = e**3*delP/K/S**2/mu/(1-e)**2/len\n",
"Q = pi*dc**2/4*u\n",
"print \"initial volumetric flow rate in (m**3/s): %.4f\"%Q\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"initial volumetric flow rate in (m**3/s): 2.8271\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"example 7.3 page no : 140"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"import math \n",
"\n",
"# Initialization of Variable\n",
"dr = 2. #dia of column\n",
"mu = 2.02/10**5\n",
"rho = 998.\n",
"K = 5.1\n",
"g = 9.81\n",
"Q = 10000./3600\n",
"l = 50.8/1000\n",
"d = l\n",
"n = 5790.\n",
"len = 18.\n",
"thik = 6.35/1000\n",
"pi = 3.1414\n",
"\n",
"#part1\n",
"#calculation\n",
"\n",
"CA = pi*dr**2./4 #cross sectional area\n",
"u = Q/CA\n",
"Vs = pi*d**2/4*l-pi*l/4*(d-2*thik)**2 #volume of each ring\n",
"e = 1-Vs*n\n",
"Surfacearea = pi*d*l+2*pi*d**2/4+pi*(d-2*thik)*l-2*pi*(d-2*thik)**2/4\n",
"S = Surfacearea/Vs\n",
"S = round(S*10)/10.\n",
"delP = K*S**2/e**3*mu*len*u*(1-e)**2\n",
"delh = delP/rho/g\n",
"print \"pressure drop in terms of (cm of H20) %.4f\"%(delh*100)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"pressure drop in terms of (cm of H20) 0.3540\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
|
