A horizontal 3-mm-thick flat copper plate, 1-m-long and 0.5-m-wide, is exposed in air at 27°C to radiation from the sun. If the total rate of solar radiation absorbed is 300 W and the combined radiative and convective heat transfer coefficients on the upper and lower surfaces are 20 and 15 W/(m2 K), respectively, determine the equilibrium temperature of the plate.
GIVEN
FIND
- The equilibrium temperature of the plate (Tp)
ASSUMPTIONS
- Steady state prevails
- The temperature of the plate is uniform
SKETCH
For equilibrium the heat gain from the solar radiation must equal the heat lost from the upper and
lower surfaces
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