A homeowners wood stove is equipped with a top burner for

Chapter , Problem 3.147

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A homeowners wood stove is equipped with a top burner for cooking. The D 200-mm-diameter burner is fabricated of cast iron (k 65 W/mK). 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 ( 0.95) is applied to all surfaces of the burner. The top of the burner is exposed to room conditions (Tsur,t T,t 20 C, ht 40 W/m2 K), while the bottom of the burner is exposed to combustion conditions (Tsur,b T.b 450 C, hb 50 W/m2 K). Compare the top surface temperature of the finned burner to that which would exist for a burner without fins. Hint: Use the same expression for radiation heat transfer to the bottom of the finned burner as for the burner with no fins

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