Efficient iterative method for investigation of convective-radiative porous fin with internal heat generation under a uniform magnetic field. (English) Zbl 1446.76162

Oguntala, George; Sobamowo, Gbeminiyi; Abd-Alhameed, Raed; Jones, Stephen

Int. J. Appl. Comput. Math. 5, No. 1, Paper No. 13, 19 p. (2019).

Summary: This paper is aimed at presenting an efficient iterative approach using Daftardar-Gejiji and Jafari method (DJM) for the analysis of thermal behaviour of convective-radiative porous fin with internal heat generation under a uniform magnetic field. The developed heat transfer models are used to investigate the effects of convective, radiative, and magnetic parameters on the thermal performance of the porous fin. From the study, we establish that increase in porosity, convective, radiative and magnetic parameters increase the heat transferred by the fin, which subsequently improves the fin efficiency. In addition, there is significant increase in heat transfer at the base of the fin whenever the thermal conductivity of the fin decreases. The result of DJM is validated by an established result of Adomian decomposition method, and compared with the results of numerical method using first-order Runge-Kutta with shooting method and homotopy analysis method. The comparison shows that Daftardar-Gejiji and Jafari’s method exhibits higher accuracy than the established two results.

MSC:

76S05	Flows in porous media; filtration; seepage
80A19	Diffusive and convective heat and mass transfer, heat flow
80A21	Radiative heat transfer

Keywords:

Daftardar-Gejiji and Jafari method; iterative method; thermal analysis; porous fin; convective-radiative fin; magnetic field

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