In the metal processing industry, heat treatment of metals is commonly done using electrically heated draw batch furnaces. Consider a furnace that is situated in a room with a surrounding air temperature of 30°C and an average convection heat transfer coefficient of 12 W/mK. The furnace front is made of a steel plate with a thickness of 20 mm and a thermal conductivity of 25 W/m-K. The outer furnace front surface has an emissivity of 0.23, and the inside surface is subjected to a heat flux of 8 kW/m^2. Determine the outside surface temperature of the furnace front.
Tsurr = 30°C
Furnace front
q = 8 kW/m^2
Air, h = 12 W/m^2·K
ε = 0.23
FIGURE P1-99