A long cylindrical rod of very high emissivity is heat treated within a long, evacuated oven of square cross section as shown in the sketch. The oven walls exhibit blackbody behavior. Due to non-uniform heat losses, the temperatures of the oven walls are slightly different and are T₂ = 600 K, T₃ = 575 K, T₄ = 555 K, and Ts = 585 K, respectively.

(a) Determine the steady-state temperature of the D = 0.2-m-diameter rod if each wall of the oven is w = 1 m wide and a = b = 0.5 m.

(b) Determine the steady-state temperature of the rod when a = 0.5 m and b = 0.25 m.

Transcribed Image Text:

D- T: TA