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A 10 cm x 16 cm electronic device is air cooled using a stainless steel (k = 15 W/mK) heatsink with circular pin fins.

A 10 cm x 16 cm electronic device is air cooled using a stainless steel (k = 15 W/mK) heatsink with circular pin fins. The surface of the device must be maintained at 56C in an environment where the air temperature is 10C. The device dissipates 75 W, and the length and diameter of the pin fins are 3.0 cm and 4.2 mm, respectively. If the heat transfer coefficient is 71 W/mK, how many fins are required?

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