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GATE Mechanical Engineering (ME) 2022 Shift 1 Solved Paper
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Question : 64
Total: 65
Consider a solid slab (thermal conductivity, k = 10 W∙m
-1
∙K
-1
) with thickness 0.2 m and of infinite extent in the other two directions as shown in the figure. Surface 2, at 300 K, is exposed to a fluid flow at a free stream temperature (T
∞
) of 293 K, with a convective heat transfer coefficient (h) of 100 W∙m
-2
∙K
-1
. Surface 2 is opaque, diffuse and gray with an emissivity (ε) of 0.5 and exchanges heat by radiation with very large surroundings at 0 K. Radiative heat transfer inside the solid slab is neglected. The Stefan-Boltzmann constant is 5.67 × 10
-8
W∙m
-2
∙K
-4
. The temperature T
1
of Surface 1 of the slab, under steady-state conditions, is _________ K (round off to the nearest integer).
Your Answer:
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