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Curved Surface area of a right circular cylinder

The constant ...

Question

The constant "m" for a cylindrical Fin the length 25 mm protruded from a cylindrical surface is 28.6. The surrounding heat transfer coefficient is $23 W / m^{2} K .$ The efficiency of fin if heat loss from tip is neglected

A

95%

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B

75%

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C

85%

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D

65%

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Solution

The correct option is B 75%
$\begin{matrix} m = 28.6 / m, L & = 0.025 m Efficiency of fin when fin tip is insulated = \frac{tanh (m L)}{m L} = \frac{tanh (28.6 \times 0.025)}{28.6 \times 0.025} = 0.8584 η & = 85.84 % \end{matrix}$

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