Hybrid differential transformation and finite difference method to annular fin with temperature-dependent thermal conductivity. (English) Zbl 1217.80078

Peng, Huan-Sen; Chen, Chieh-Li

Int. J. Heat Mass Transfer 54, No. 11-12, 2427-2433 (2011).

Summary: A hybrid numerical technique which combines the differential transformation and finite difference method is utilized to investigate the annular fin with temperature-dependent thermal conductivity. The exposed surfaces of the fin dissipate heat to the surroundings by convection and radiation. The influences of the convective heat transfer coefficient, absorptivity, emissivity and thermal conductivity parameter on the temperature distribution are examined. The results show that the convective heat transfer plays a dominant role for heat dissipation under the convection-radiation condition. The optimum radii ratio of fin which maximizes the heat transfer rate and fin efficiency is also discussed.

MSC:

80A20	Heat and mass transfer, heat flow (MSC2010)
80M20	Finite difference methods applied to problems in thermodynamics and heat transfer

Keywords:

differential transformation; finite difference; annular fin; heat transfer

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