Solar radiation is incident on the front surface of a thin plate with direct and diffuse c...

Solar radiation is incident on the front surface of a thin plate with direct and diffuse components of 300 and 250 W/m2, respectively. The direct radiation makes a 30° angle with the normal of the surface. The plate surfaces have a solar absorptivity of 0.63 and an emissivity of 0.93.The air temperature is 5°C and the convection heat transfer coefficient is 20W/m2·K, The effective sky temperature for the front surface is –33°Cwhile the surrounding surfaces are at 5°C for the back surface. Determine the equilibrium temperature of the plate.