Thermodynamics HW Solutions 431

Thermodynamics HW Solutions 431 -...

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Chapter 5 Numerical Methods in Heat Conduction k*(2*pi*t*r_56)*(T_5- T_6)/DELTAx_2+2*(2*pi*t*(r_56+r_6)/2*(DELTAx_2/2)+2*pi*t*r_6)*(h*(T_infinity- T_6)+epsilon*sigma*(T_surr^4-(T_6+273)^4))=0 "node 6" T_tip=T_6 "(c)" Q_dot=Q_dot_1+Q_dot_2+Q_dot_3+Q_dot_4+Q_dot_5+Q_dot_6 "where" Q_dot_1=h*2*2*pi*t*(r_1+r_12)/2*DELTAx_2/2*(T_1- T_infinity)+epsilon*sigma*2*2*pi*t*(r_1+r_12)/2*DELTAx_2/2*((T_1+273)^4-T_surr^4) Q_dot_2=h*2*2*pi*t*r_2*DELTAx_2*(T_2- T_infinity)+epsilon*sigma*2*2*pi*t*r_2*DELTAx_2*((T_2+273)^4-T_surr^4) Q_dot_3=h*2*2*pi*t*r_3*DELTAx_2*(T_3- T_infinity)+epsilon*sigma*2*2*pi*t*r_3*DELTAx_2*((T_3+273)^4-T_surr^4) Q_dot_4=h*2*2*pi*t*r_4*DELTAx_2*(T_4- T_infinity)+epsilon*sigma*2*2*pi*t*r_4*DELTAx_2*((T_4+273)^4-T_surr^4) Q_dot_5=h*2*2*pi*t*r_5*DELTAx_2*(T_5-
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Unformatted text preview: T_infinity)+epsilon*sigma*2*2*pi*t*r_5*DELTAx_2*((T_5+273)^4-T_surr^4) Q_dot_6=h*2*(2*pi*t*(r_56+r_6)/2*(DELTAx_2/2)+2*pi*t*r_6)*(T_6-T_infinity)+epsilon*sigma*2*(2*pi*t*(r_56+r_6)/2*(DELTAx_2/2)+2*pi*t*r_6)*((T_6+273)^4-T_surr^4) T steam [C] T tip [C] Q [W] 150 84.42 60.83 160 89.57 65.33 170 94.69 69.85 180 99.78 74.4 190 104.8 78.98 200 109.9 83.58 210 114.9 88.21 220 119.9 92.87 230 124.8 97.55 240 129.7 102.3 250 134.6 107 260 139.5 111.8 270 144.3 116.6 280 149.1 121.4 290 153.9 126.2 300 158.7 131.1 h [W/m 2 .C] T tip [C] Q [W] 15 126.5 68.18 20 117.6 76.42 25 109.9 83.58 30 103.1 89.85 35 97.17 95.38 40 91.89 100.3 45 87.17 104.7 50 82.95 108.6 55 79.14 112.1 60 75.69 115.3 5-34...
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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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