Mechanical Engineering > GATE 2022 SET-1 > Conduction and Radiation
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 free stream temperature (T) of 293 K, with a convective heat transfer coefficient (h) of 100 W·m⁻²·K⁻¹. Surface 2 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⁻¹. The temperature T1 of Surface 1 of the slab, under steady-state conditions, is _________ K (round off to the nearest integer).

Correct : 330

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