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diff --git a/Problems_In_Fluid_Flow/ch7.ipynb b/Problems_In_Fluid_Flow/ch7.ipynb new file mode 100644 index 00000000..2c61cecf --- /dev/null +++ b/Problems_In_Fluid_Flow/ch7.ipynb @@ -0,0 +1,203 @@ +{ + "metadata": { + "name": "" + }, + "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", + "find\n", + "average particle diameter\n", + "surface area per gram of cement\n", + "'''\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": [ + "# find initial volumetric flow rate\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": [ + "# find pressure drop in terms of (cm of H20)\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": {} + } + ] +}
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