A rectangular steel (k = 58.7 W/m * K) fin 25 mm thick and 150 mm long is attached to a wall that is at 250 C. The ambient air around the fin is at 20 C and the heat-transfer coefficient is 26 W/m^2 * K. Calculate:(a) The fin efficiency.(b) The rate of heat transfer from the fin per meter of fin width.Ans. (a) 77.9%. (b) 1456 W/m of width.

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Asked Feb 17, 2019
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A rectangular steel (k = 58.7 W/m * K) fin 25 mm thick and 150 mm long is attached to a wall that is at 250 C. The ambient air around the fin is at 20 C and the heat-transfer coefficient is 26 W/m^2 * K. Calculate:
(a) The fin efficiency.
(b) The rate of heat transfer from the fin per meter of fin width.
Ans. (a) 77.9%. (b) 1456 W/m of width.

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Step 1

Part (a)

The figure representing the given question is:

Let the depth of the fin be 1m as the calculations are to be done for 1 m. From the given information,

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Step 2

The formula to calculate fin efficiency, nf is:

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Step 3

P is the perimeter of the fin and, A is the cross-sectional area of the fin.

 

Let us assume...

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