A homeowner’s wood stove is equipped with a top burner for cooking. The D = 200-mm-diameter burner is fabricated of cast iron (k = 65 W/m · K). The bottom (combustion) side of the burner has 8 straight fins of uniform cross section, arranged as shown in the sketch. A very thin ceramic coating (ε = 0.95) is applied to all surfaces of the burner. The top of the burner is exposed to room conditions (T_sur,t = T_∞,t = 20°C, h_t = 40 W/m² · K), while the bottom of the burner is exposed to combustion conditions (T_sur,b =T_∞.b
450°C, h_b
50 W/m² · K). Compare the top surface temperature of the finned burner to that which would exist for a burner without fins.

Transcribed Image Text:

-D= 200 mm- JE P h, Tob Tsurit t = 5 mm T sur.b h₂, To L = 10 mm L = 25 mm w = 80 mm