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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:e1f2ab4731e8126f69d8554acbb321ab940bce50cce33579f99b691416bd49a5"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 14: Heat Transfer"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.1, page no. 279"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialization\n",
+ "T = 50.0 #F\n",
+ "Q = 3.9 #B/hr-ft^2\n",
+ "\n",
+ "#calculation\n",
+ "#From table 14.1\n",
+ "k = 0.026 #B/hr-ft-F\n",
+ "dx = k*T/Q\n",
+ "\n",
+ "#result\n",
+ "print \"Required thickness = ft\", round(dx, 3), \"lb/in^2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Required thickness = ft 0.333 lb/in^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.2, page no. 281"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialization\n",
+ "x1 = 1.0 #in\n",
+ "x2 = 4.0 #in\n",
+ "T1 = 85.0 #F\n",
+ "T2 = 30.0 #F\n",
+ "\n",
+ "#calculation\n",
+ "QbyA = 12*(T1-T2)/(x1/0.3 + x2/0.026)\n",
+ "\n",
+ "#result\n",
+ "print \"Rate of heat flow = \", round(QbyA, 1), \"B/r-ft^2-F\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Rate of heat flow = 4.2 B/r-ft^2-F\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.3, page no. 283"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "import math\n",
+ "\n",
+ "#initialization\n",
+ "L = 6.5 #in\n",
+ "thick = 1.0 #in\n",
+ "k = 0.06 #B/hr-ft-F\n",
+ "T1 = 350.0 #F\n",
+ "T2 = 110.0 #F\n",
+ "\n",
+ "#calculation\n",
+ "QbyL = 2*math.pi*k*(T1-T2)/math.log(1+2/L)\n",
+ "\n",
+ "#result\n",
+ "print \"heat flow = %d B/hr-ft\" %QbyL"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "heat flow = 337 B/hr-ft\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.4, page no. 283"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "import math\n",
+ "\n",
+ "#initialization\n",
+ "t = 0.25 #in\n",
+ "dia = 5.5 #in\n",
+ "t2 = 0.6 #in\n",
+ "To = 100.0 #F\n",
+ "kp = 34.5 #B/hr-ft-F\n",
+ "ki = 0.05 #B/hr-ft-F\n",
+ "l = 10.0 #ft\n",
+ "Q = 2000.0 #B/hr\n",
+ "\n",
+ "#calculation\n",
+ "dT = Q*(1/kp *math.log(1+ 2*t/dia) + 1/ki *math.log(1 + 4*t/(dia+2*t)))/(2*math.pi*l)\n",
+ "T1 = dT+To\n",
+ "\n",
+ "#result\n",
+ "print \"Inner surface temperature of the pipe = \", round(T1, 1), \"F\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Inner surface temperature of the pipe = 198.2 F\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.5, page no. 286"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialization\n",
+ "Tsurr = 90.0 #F\n",
+ "T = 85.0 #F\n",
+ "\n",
+ "#calculation\n",
+ "H = 4.2/(Tsurr-T)\n",
+ "\n",
+ "#result\n",
+ "print \"Film coefficient = %.2f B/hr-ft^2-F\" %H"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Film coefficient = 0.84 B/hr-ft^2-F\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.6, page no. 288"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialization\n",
+ "k = 0.04 #B/hr-ft-F\n",
+ "thick = 1.0 #in\n",
+ "T1 = 90.0 #F\n",
+ "T2 = 30.0 #F\n",
+ "Air = 2.5 #B/hr-ft^2-F\n",
+ "film = 2.0 #B/hr-ft^2-F\n",
+ "\n",
+ "#calculation\n",
+ "U = 1.0/(1.0/Air + thick/12.0/k + 1/film)\n",
+ "Q = U*(T1-T2)\n",
+ "\n",
+ "#result\n",
+ "print \"Rate of heat transfer per unit square area = %.1f B/hr-ft^2\" %Q"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Rate of heat transfer per unit square area = 20.1 B/hr-ft^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.7, page no. 291"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "import math\n",
+ "\n",
+ "#initialization\n",
+ "U = 115.0 #B/hr-ft^2-F\n",
+ "T1 = 190.0 #F\n",
+ "T2 = 160.0 #F\n",
+ "Tc1 = 65.0 #F\n",
+ "Tc2 = 100.0 #F\n",
+ "w = 140.0 #lbm/min\n",
+ "c = 0.8 #B/lbm F\n",
+ "\n",
+ "#calculation\n",
+ "Q = w*60.0*c*(T1-T2) #answer in textbook for Q is wrong. Hence, the difference in final answer\n",
+ "dT = ((T1-Tc2) - (T2-Tc1))/math.log((T1-Tc2)/(T2-Tc1))\n",
+ "A = Q/(U*dT)\n",
+ "\n",
+ "#result\n",
+ "print \"Required Area = %.1f ft^2\" %A"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Required Area = 19.0 ft^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.8, page no. 294"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialization\n",
+ "e = 0.8\n",
+ "T1 = 100+460.0 #R\n",
+ "T2 = 300+460.0 #R\n",
+ "\n",
+ "#calculation\n",
+ "Qdot = 0.173*10**-8 *(T2**4 - T1**4)/(1/e +1/e -1)\n",
+ "\n",
+ "#result\n",
+ "print \"Radiant heat transfer per sq. foot = %d B/hr-ft^2\" %(Qdot+1)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Radiant heat transfer per sq. foot = 272 B/hr-ft^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.9, page no. 294"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialization\n",
+ "T1 = 400+460.0 #R\n",
+ "A = 40.0 #in^2\n",
+ "e = 0.1\n",
+ "T2 = 70+460.0 #R\n",
+ "\n",
+ "#calculation\n",
+ "Q = A*e*0.173*10**-8 *(T1**4 - T2**4)/144.0\n",
+ "\n",
+ "#result\n",
+ "print \"Rate of heat transfer = %.2f B/hr\" %Q\n",
+ "#answer in the book is wrong"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Rate of heat transfer = 22.49 B/hr\n"
+ ]
+ }
+ ],
+ "prompt_number": 19
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file