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Periodic heat transfer in fins with variable thermal parameters

Aziz, A.; Na, Tsung-Yen

Aziz, A.; Na, Tsung-Yen

1981-08

Citation:Aziz, A., Na, T. Y. (1981/08)."Periodic heat transfer in fins with variable thermal parameters." International Journal of Heat and Mass Transfer 24(8): 1397-1404. <http://hdl.handle.net/2027.42/24300>

Abstract: Periodic heat transfer in a convecting fin with temperature dependent thermal conductivity and coordinate dependent heat transfer coefficient, is analyzed using a perturbation analysis. The zero-order problem, which corresponds to steady-state fin behaviour, is solved by quasilinearization. A method of complex combination is used, in conjunction with a noniterative numerical scheme, to solve the first-order and the second-order problems. The nonlinear nature of the problem gives rise to a nonoscillatory component in the second-order term, which causes a net change in the mean values of temperature and heat transfer rate. The direction of change depends on the thermal conductivity parameter [alpha]. For [alpha] [mu] 0, the mean temperature is increased, while the mean heat transfer rate is decreased. For [alpha] < 0, the effect is opposite. Detailed results showing the effects of various parameters on temperature distribution, heat transfer rate and time-averaging fin efficiency are presented and discussed.