GATE ME 2016 Set 3 — Question 25
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Heat Transfer → Conduction → Composite Wall Conduction
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Question
Steady one-dimensional heat conduction takes place across the faces 1 and 3 of a composite slab consisting of slabs A and B in perfect contact as shown in the figure, where denote the respective thermal conductivities. Using the data as given in the figure, the interface temperature (in ) is __________

Correct answer
67 to 68
Solution
For steady one-dimensional heat conduction through a composite slab, the heat flux is constant throughout:
where is the thermal resistance per unit area.Given data from the figure:
,
, Equating heat flux:
where is the thermal resistance per unit area.Given data from the figure:
,
, Equating heat flux:
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