Homotopy perturbation method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. (English) Zbl 1203.74148

Rajabi, A.

Phys. Lett., A 364, No. 1, 33-37 (2007).

Summary: The homotopy perturbation method (HPM) is used to evaluate the efficiency of straight fins with temperature-dependent thermal conductivity and to determine the temperature distribution within the fin. The fin efficiency of the straight fins with temperature-dependent thermal conductivity has been obtained as a function of thermo-geometric fin parameter and the thermal conductivity parameter describing the variation of the thermal conductivity. The results reveal that homotopy perturbation method is very effective and simple. The resulting correlation equations can assist thermal design engineers for designing of straight fins with temperature-dependent thermal conductivity.

MSC:

74S30	Other numerical methods in solid mechanics (MSC2010)
65L99	Numerical methods for ordinary differential equations
35Q74	PDEs in connection with mechanics of deformable solids
74F05	Thermal effects in solid mechanics

Keywords:

homotopy perturbation method; fin efficiency; extended surface; variable thermal conductivity

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