Upper and lower surfaces of a bus bar are convectively cooled by air at T8 with hu ? h1. The sides are cooled by maintaining contact with heat sinks at To, through a thermal contact resistance of Rt,c The bar is of thermal conductivity k, and its width is twice its thickness L.
Consider steady-state conditions for which heat is uniformly generated at a volumetric rate q due to passage of an electric current. Using the energy balance method, derive finite-difference equations for nodes 1 and 13.