A metal plate is placed in the sunlight. The incident radiant energy G is 780 W/m2. The

Question:

A metal plate is placed in the sunlight. The incident radiant energy G is 780 W/m2. The air and the surroundings are at 10?C. The heat transfer coefficient by natural convection from the upper surface of the plate is 17 W/(m2 K). The plate has an average emissivity of 0.9 at solar wavelengths and 0.1 at long wavelengths. Neglecting conduction losses on the lower surface, determine the equilibrium temperature of the plate.GIVENA metal plate is sunlightIncident radiant energy (G) = 780 W/m2Temperature of air and surroundings (T??) = 10?C = 283 KNatural convection heat transfer coefficient (hc) = 17 W/(m2 K)Plate emissivity (ε) = 0.9 at solar wavelengths, 0.1 at long wavelengthsASSUMPTIONSSteady stateConduction losses on the lower surface of the plate are negligibleThe surroundings behave as a blackbodyenclosure