For a furnace wall, draw the thermal circuit, determine the rate of heat flow per unit area,

Question:

For a furnace wall, draw the thermal circuit, determine the rate of heat flow per unit area, and estimate the exterior surface temperature under the following conditions: the convective heat transfer coefficient at the interior surface is 15 W/(m2 K); rate of heat flow by radiation from hot gases and soot particles at 2000?C to the interior wall surface is 45,000 W/m2; the unit thermal conductance of the wall (interior surface temperature is about 850?C) is 250 W/(m2 K); there is convection from the outer surface.GIVENA furnace wallConvective heat transfer coefficient ( hc ) = 15 W/(m2 K)Temperature of hot gases inside furnace (Tg) = 2000?CRate of radiative heat flow to the interior of the wall (qr/A) = 45,000 W/m2Unit thermal conductance of the wall (k/L) = 250 W/(m2 K)Interior surface temperature (Twi) is about 850?CConvection occurs from outer surface of the wallASSUMPTIONSHeat flow through the wall is one dimensionalSteady stateprevails