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Posted: **Sat Feb 19, 2022 3:31 pm**

: 3 A Pin Fin With A Diameter Of 8 Mm Is Fabricated Of An Aluminum Alloy K 160 W M K The Convective Heat Transfer Co 1 (31.66 KiB) Viewed 71 times

: 3 A Pin Fin With A Diameter Of 8 Mm Is Fabricated Of An Aluminum Alloy K 160 W M K The Convective Heat Transfer Co 2 (42.89 KiB) Viewed 71 times

3. A pin fin with a diameter of 8 mm is fabricated of an aluminum alloy (k = 160 W/m-K). The convective heat transfer coefficient h = 180 W/m2K. The fin base temperature is 120 °C and fluid temperature surround fin is 20 °C. The effectiveness of this fin is 20. You can assume the tip of this fin is insulated which makes it easier for you to solve this question. Please find: (30 points)
(1) The heat dissipated through this fin; (6 points) (2) The length of this fin; (6 Points) (3) The efficiency of this fin; (6 points). (4) The ratio of the side surface area relative to fin base area; (4 points). (5) Please comments on the area ratio find in (4) and explain why the ratio of the side surface area relative to fin base area is higher than the effectiveness of this fin.(4 points) (6) Find the tip temperature of this fin with insulated tip. (4 Points) Optional question: Please think about how to solve this question if this fin has a convective tip?