Thermodynamics HW Solutions 458

# Thermodynamics HW Solutions 458 -...

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Chapter 5 Numerical Methods in Heat Conduction 5-60 "!PROBLEM 5-60E" "GIVEN" T_top=32 "[F], parameter to be varied" T_bottom=212 "[F], parameter to be varied" DELTAx=1 "[ft]" DELTAy=1 "[ft]" "ANALYSIS" l=DELTAx T_1=T_9 "due to symmetry" T_2=T_10 "due to symmetry" T_3=T_11 "due to symmetry" T_4=T_7 "due to symmetry" T_5=T_8 "due to symmetry" "Using the finite difference method, the six equations for the six unknown temperatures are determined to be" "k*l/2*(T_top-T_1)/l+k*l*(T_top-T_1)/l+k*l/2*(T_2-T_1)/l=0 simplifies to for Node 1"
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Unformatted text preview: 1/2*(T_top-T_1)+(T_top-T_1)+1/2*(T_2-T_1)=0 "Node 1" T_1+2*T_4+T_3-4*T_2=0 "Node 2" T_2+T_bottom+2*T_5-4*T_3=0 "Node 3" 2*T_top+T_2+T_5-4*T_4=0 "Node 4" T_3+T_bottom+T_4+T_6-4*T_5=0 "Node 5" T_top+T_bottom+2*T_5-4*T_6=0 "Node 6" T top [F] T 2 [F] 32 82.81 41.47 89.61 50.95 96.41 60.42 103.2 69.89 110 79.37 116.8 88.84 123.6 98.32 130.4 107.8 137.2 117.3 144 126.7 150.8 136.2 157.6 145.7 164.4 155.2 171.2 164.6 178 174.1 184.8 183.6 191.6 193.1 198.4 202.5 205.2 212 212 5-61...
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## This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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