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Question

A furnace has a wall of 20 cm thickness with thermal conductivity k = 2 W/mK. An insulation of 3 cm is applied which has thermal conductivity of 0.008 W/mK. On the left side of the wall there is flue gas at a temperature of 700C with convective heat transfer coefficient 100 W/m2K. Outside temperature of the insulation is 25C. Intermediate temperature is

A
670.8C
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B
680.7C
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C
870.8C
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D
780.7C
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Solution

The correct option is B 680.7C

Let the interface temperature in T. So equivalent electric circuit.
Sine there is series convection between the thermal resistane so,
TTR1+R2=TTinsulationR3
700T1100+0.22=T250.030.008
T=680.76C

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