A flat roof can be modeled as a flat plate insulated on the bottom and placed in

Question:

A flat roof can be modeled as a flat plate insulated on the bottom and placed in the sunlight. If the radiant heat that the roof receives from the sun is 600 W/m2, the convection heat transfer coefficient between the roof and the air is 12 W/(m2 K), and the air temperature is 27?C, determine the roof temperature for the following two cases:(a) Radiative heat loss to space is negligible.(b) The roof is black (ε = 1.0) and radiates to space, which is assumed to be a black-body at 0 K.GIVENA flat plate in the sunlightRadiant heat received from the sun (qr/A) = 600 W/m2Air temperature (T??) = 27?CConvective heat transfer coefficient ( hc ) = 12 W/(m2 K)ASSUMPTIONSSteady state prevailsNo heat is lost from the bottom of theplate