Applied Mathematics in Chemical - Resolution for Assignment 15 | CHEN 507, Assignments of Chemistry

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/ f2 Consider the steady heat transfer from a thin circular fin as shown below. The temperature of the surrounding ambient air is 7, and the temperature at the inside radius of the fin (i.e., r = R,) is T;. Find the temperature profile in the fin with a constant external heat transfer coefficient h. Use the condition that the flux from the edge of the fin is small relative to losses by convection from the large fin surfaces. Develop an equation describing the fin effectiveness, defined as the ratio of heat loss with the fin to that loss from the rod without the fin. Compare the circular fin effectiveness to the rectangular fin effectiveness for the same conditions. . %, = ambient air temperature u 9. (ater 20)/ - Grr 28) -2h (garar) (7%) rer fer¢ar 4 bo FG - GeV conel “PAL ETE) Aro Ar Zs