The outer surface of an engine is situated in a place where oil leakage can occur. when leaked oil comes in contact with a hot surface that has a temperature above its autoignition temperature, the oil can ignite spontaneously. consider an engine cover that is made of a stainless steel plate with a thickness of 1 cm and a thermal conductivity of 14 w/m·k. the inner surface of the engine cover is exposed to hot air with a convection heat transfer coefficient of 7 w/m2·k at 333°c. the outer surface is exposed to an environment where the ambient air is 69°c with a convection heat transfer coefficient of 7 w/m2·k. to prevent fire hazard in the event of oil leak on the engine cover, a layer of thermal barrier coating (tbc) with a thermal conductivity of 1.1 w/m·k is applied on the engine cover outer surface. calculate the cover surface temperature for the tbc layer of 0.004 m thickness.