{ "metadata": { "name": "CHAPTER12" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 12: Radient Heat Transfer between Surfaces" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.3 Page No 598" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "a_13=100.0\n", "b_13=250.0\n", "c_13=100.0\n", "X_13=a_13/c_13\n", "Y_13=b_13/c_13\n", "Fd1_3=0.17 # value for Fd1_3 corresponding to above calculated values of a/c and b/c\n", "a_14=300\n", "b_14=50\n", "c_14=100\n", "\n", "X_14=a_14/c_14\n", "Y_14=b_14/c_14\n", "Fd1_4=0.11 #value for Fd1_4 corresponding to above calculated values of a/c and b/c\n", "a_15=100\n", "b_15=50\n", "c_15=100\n", "X_15=a_15/c_15\n", "Y_15=b_15/c_15\n", "Fd1_5=0.09 #value for Fd1_3 corresponding to above calculated values of a/c and b/c\n", "Fd1_2=Fd1_3+Fd1_4-Fd1_5\n", "sigma=0.1714e-8 # Stefan-Boltzmann constant\n", "T1=660\n", "T2=560\n", "q12_A1=sigma*Fd1_2*(T1**4-T2**4)\n", "\n", "print\"The net heat transferred is \",round(q12_A1,1),\"BTU/(hr.sq.ft)\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The net heat transferred is 29.8 BTU/(hr.sq.ft)\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.4 Page No 601" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "import math\n", "L1=1\n", "angle=math.pi*45/180.0\n", "L2=L1*math.sin(angle)\n", "L3=L2\n", "T1=303\n", "T2=473\n", "\n", "sigma=5.67e-8 # Stefan-Boltzmann constant\n", "q21_A2=sigma*(T2**4-T1**4)*((L1/L2)+1-(L3/L2))/2.0\n", "q31_A3=sigma*(T2**4-T1**4)*((L1/L2)-1+(L3/L2))/2.0\n", "\n", "print\"The heat transferred from A3 to A1 is \",round(q31_A3,0),\" W/sq.m\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The heat transferred from A3 to A1 is 1669.0 W/sq.m\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.5 Page No 605" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "ac=1\n", "bd=1\n", "ad=(9+1)**0.5\n", "bc=ad\n", "\n", "crossed_strings=ad+bc\n", "uncrossed_strings=ac+bd\n", "L1_F12=(1/2.0)*(crossed_strings-uncrossed_strings)\n", "L1=3\n", "F12=L1_F12/L1\n", "sigma=5.67e-8 # Stefan-Boltzmann constant\n", "T1=560\n", "T2=460\n", "q12_A1=sigma*(T1**4-T2**4)*F12\n", "\n", "print\"The heat transfer rate is \",round(q12_A1,0),\"W/sq m\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The heat transfer rate is 2189.0 W/sq m\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.6 Page No 608" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "T1=1000.0\n", "T3=500.0\n", "q2=0\n", "F12=1/2.0\n", "F13=1/2.0\n", "F21=1/2.0\n", "F23=1/2.0\n", "F31=1/2.0\n", "F32=1/2.0\n", "\n", "T2=((T1**4+T3**4)/2.0)**(1/4.0) # using equation (2)\n", "sigma=0.1714e-8 # Stefan-Boltzmann constant\n", "q1_A1=sigma*((T1**4-T2**4)*F12+(T1**4-T3**4)*F13) # using equation (1)\n", "q3_A3=sigma*((T3**4-T1**4)*F31+(T3**4-T2**4)*F32) # using equation (3)\n", "\n", "print\"The temperature is \",round(T2,1),\"R\"\n", "print\"The heat flux through area A1 is\",round(q1_A1,0),\"BTU/(hr.sq.ft)\"\n", "print\"The heat flux through area A3 is\",round(q3_A3,0),\"BTU/(hr.sq.ft)\"\n", "print\"In the book there is calculation mistake\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The temperature is 853.7 R\n", "The heat flux through area A1 is 1205.0 BTU/(hr.sq.ft)\n", "The heat flux through area A3 is -1205.0 BTU/(hr.sq.ft)\n", "In the book there is calculation mistake\n" ] } ], "prompt_number": 16 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.7 Page No 613" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "F12=1\n", "F21=1\n", "F11=0 # the surfaces are flat\n", "F22=0\n", "emissivity1=0.94 # for oxidized steel from appendix table E1\n", "emissivity2=0.94\n", "T1=533\n", "T2=323\n", "sigma=5.67e-8 # Stefan-Boltzmann constant\n", "\n", "q1=(sigma*(T1**4-T2**4))/((1/emissivity1)+(1/emissivity2)-1)\n", "q2=-q1\n", "\n", "print\"The heat lost through bottom surface is \",round(q1,1),\"W/sq m\"\n", "print\"The heat lost through top surface is \",round(q2,1),\"W/sq m\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The heat lost through bottom surface is 3510.7 W/sq m\n", "The heat lost through top surface is -3510.7 W/sq m\n" ] } ], "prompt_number": 21 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.8 Page No 616" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "D=1.0 # diameter in ft\n", "L=6/12.0 # length in ft\n", "\n", "A=2*math.pi*D**2/4+math.pi*D*L\n", "F12=1 # the view factor between the dish and the surroundings is unity\n", "T1=810\n", "T2=530\n", "sigma=0.1714e-8 # Stefan-Boltzmann constant\n", "q1=sigma*A*(T1**4-T2**4)*F12\n", "\n", "F11=0\n", "e1=0.82\n", "e2=0.93\n", "q1_=A*e1*(sigma*T1**4-F12*sigma*T2**4)\n", "\n", "print\"(a)The heat exchanged between the dish and the surroundings is\",round(q1,0),\"BTU/hr\"\n", "print\"(b)The heat exchanged between the dish and the surroundings for the second case is \",round(q1_,0),\"BTU/hr\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)The heat exchanged between the dish and the surroundings is 1893.0 BTU/hr\n", "(b)The heat exchanged between the dish and the surroundings for the second case is 1552.0 BTU/hr\n" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }