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For the following problem, where the thermal conductivity is 5.2W/mK, determine the unknown temperature at node 1.



Insulated 1 Too 0°C 30 cm 2 5 h 28 W/m2. C 6 3 30 cm T7 Ts T 38°C T3 T6 10°C

Insulated 1 Too 0°C 30 cm 2 5 h 28 W/m2. C 6 3 30 cm T7 Ts T 38°C T3 T6 10°C
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Insulated sol /mk givern k 5.z 38C 30Cn 6 13= 76= 10 c T och: 26 3 30m kA^ foi temperaturie distvibution 2 D grpvaiors heatlyt surfae condition eundaty al conve Ction eeven beat tsamsj Сomdu ch ve heat toansfel convechve :. Lp Я- (-L) Ч Tii, T;-1,j0-15x28 5.2 0-15 28 2 + 5.2 7,tTu +0. B076 T -(4) 2.80769 nadi (2 )*. - 2Ah (7,-T) 2A1h (7.-1\ + 15+ 7,+13 - 41, -0 T,+22 T+node (5) TRtTy tT-4T5 2 T,Ty 2 + T5 6 know that 311 K 38+ 273 T3 T O+ 273 = 283 K + 220.49987 T2Ty T,+ T4 + 0. S0769 x273 2.6Gauss- seidal meihocl T,, 7, Ty 4 T5 283 ae Assume T (K) T () Ti (K) 7 te ratiem 283 283 283 283 290.123 299. 2608 279. 62 28The are mperatues Onknown 12.C node , * at n ode 2 at 22. 78 22.3c at 20.5 C aut

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