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For the three-dimensional object shown in the figure below, five faces are insulated. The sixth face (PQRS), which is not insulated, interacts thermally with the ambient, with a convective heat transfer coefficient of 10W/m2K. The ambient temperature is 30°C. Heat is uniformly generated inside the object at the rate of 100 W/m3. Assuming the face PQRS to be at uniform temperature, its steady state temperature is
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- 10°C
- 20°C
- 30°C
- 40°C
Correct Option: D
Given data;
ho = W/m2K
ho = 30 °C
qG = 100 W/m3
Volume, V = 2×1×2=4 m3
Heat generated, Q = qG × V = 100 × 4 = 400 W
Convection heat transfer from face PQRS,
Q = ho A (Ts – To)
400 = 10 × 2 × 2 (Ts – 30)
Ts = 40°C
