Question

Uniform area, heat transfer problem A stove's walls are made up of a flat inner insulating board 0.01m thick (thermal conductivity: 0.2 W m^-1K^-1) and a flat outer steel sheet 0.01m thick (thermal conductivity: 26 W m^-1K^-1). A mineral-wool (thermal conductivity: 0.065 W m^-1K^-1) is placed between these sheets. The inside temperature of the wall is 773K, how thick does the insulation have to be to maintain the outside wall temperature at 323K ? Assume that the ambient air temperature is 293K and the outside convective heat transfer coefficient: 5 W m^-2K^-1. Determine the heat transfer current and calculate the required length of thw mineral-wool insulation.

Answer 1