Certain wood stove designs rely exclusively on heat transfer by radiation and natural convection to the surroundings. Consider a stove that forms a cubical enclo- sure, Ls = 1 m on a side, in a large room. The exterior walls of the stove have an emissivity of s = 0.8 and are at an operating temperature of Ts,s = 500 K.

Has a diameter of Dp = 0.25 m and a height of Lp = 2 m, extending from stove to ceiling. The stove is in a large room whose air and walls are at Too = Tsur = 300 K. Neglecting heat transfer from the small horizontal sec- tion of the pipe and radiation exchange between the pipe and stove, estimate the rate at which heat is transferred from the stove and pipe to the surroundings.