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Application of Residual Correction Method on non-Fourier Heat Transfer for Sphere with Time-Dependent Boundary Condition

Po-Jen Su1, Cha’o-Kung Chen1
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
Email:ckchen@mail.ncku.edu.tw
Tel: +886-62757575#62140

Computer Modeling in Engineering & Sciences 2013, 91(2), 135-151. https://doi.org/10.3970/cmes.2013.091.135

Abstract

The residual correction method is used to predict the temperature distribution of non-Fourier heat transfer with time-dependent boundary condition. The approximate solution of temperature field is obtained by the residual correction method based on the maximum principle in combination with the finite difference method, making it easier and faster to obtain upper and lower approximations of exact solutions, and even can provide clear definitions of the maximum error bounds of the approximate solutions. The proposed method is found to be an effective numerical method with satisfactory accuracy.

Keywords

residual correction method, maximum principle, non-Fourier heat transfer, time-dependent boundary conduction

Cite This Article

Su, P., Chen, C. (2013). Application of Residual Correction Method on non-Fourier Heat Transfer for Sphere with Time-Dependent Boundary Condition. CMES-Computer Modeling in Engineering & Sciences, 91(2), 135–151.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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