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