THERMAL SCIENCE

International Scientific Journal

Mohsen Torabi

,

Hessameddin Yaghoobi

,

Seyfolah Saedodin

ASSESSMENT OF HOMOTOPY PERTURBATION METHOD IN NONLINEAR CONVECTIVE-RADIATIVE NON-FOURIER CONDUCTION HEAT TRANSFER EQUATION WITH VARIABLE COEFFICIENT

ABSTRACT
Analytical solutions play a very important role in heat transfer. In this paper, the He's homotopy perturbation method (HPM) has been applied to nonlinear convective-radiative non-Fourier conduction heat transfer equation with variable specific heat coefficient. The concept of the He's homotopy perturbation method are introduced briefly for applying this method for problem solving. The results of HPM as an analytical solution are then compared with those derived from the established numerical solution obtained by the fourth order Runge-Kutta method in order to verify the accuracy of the proposed method. The results reveal that the HPM is very effective and convenient in predicting the solution of such problems, and it is predicted that HPM can find a wide application in new engineering problems.
KEYWORDS
homotopy perturbation method, non-fourier conduction, variable specific heat coefficient, convective-radiative heat transfer, numerical solution
PAPER SUBMITTED: 2011-01-09
PAPER REVISED: 2011-07-01
PAPER ACCEPTED: 2011-08-18
DOI REFERENCE: https://doi.org/10.2298/TSCI110109082T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 2, PAGES [S263 - S274]
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Assessment of homotopy perturbation method in nonlinear convective-radiative non-Fourier conduction heat transfer equation with variable coefficient

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence