Which of the following sketches is the best approximation of the local fin tempe

Question

Which of the following sketches is the best approximation of the local fin temperature that has a fin efficiency significantly less than 1. (Note: Tb is the fin base temperature, Tf(x) is the local fin temperature, T? is the surrounding fluid temperature, and L is the length of the fin perpendicular to the base of the fin.)

1) Which of the following sketches is the best approximation of the local fin temperature that has a fin efficiency significantly less than 1. (Note: Tb is the fin base temperature, I(x) is the local fin temperature, T is the surrounding fluid temperature, and L is the length of the fin perpendicular to the base of the fin.) A) Tx) B) Tlx) T. C) T(x) T.

Explanation / Answer

fin has a higher base temperature and subjected to convection in a less temperature surrounding.

At base (at x=0) the temperature of fin is base temperature Tb.

As x increases, the temoerature of fin decreases and tend towards ambient temperature due to heat loss along the length of the fin. Hence case B represent theexact representation of fin interms of teperatures.

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