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Thermal Science 2011 Volume 15, Issue suppl. 2, Pages: 263-274
https://doi.org/10.2298/TSCI110109082T
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Assessment of homotopy perturbation method in nonlinear convective-radiative non-Fourier conduction heat transfer equation with variable coefficient

Torabi Mohsen (Department of Mechanical Engineering, Faculty of Engineering, Semnan University, Semnan, Iran)
Yaghoobi Hessameddin (Department of Mechanical Engineering, Faculty of Engineering, Semnan University, Semnan, Iran)
Saedodin Seyfolah (Department of Mechanical Engineering, Faculty of Engineering, Semnan University, Semnan, Iran)

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 (HPM), Non-Fourier conduction, Variable specific heat coefficient, Convective-radiative heat transfer, Numerical solution