Dual solutions of the nonlinear problem of heat transfer in a straight fin with temperature-dependent heat transfer coefficient
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 17 July 2020
Issue publication date: 10 March 2021
Abstract
Purpose
In this paper, a numerical scheme is provided to predict and approximate the multiple solutions for the problem of heat transfer through a straight rectangular fin with temperature-dependent heat transfer coefficient.
Design/methodology/approach
The proposed method is based on the two-point Taylor formula as a special case of the Hermite interpolation technique.
Findings
An explicit approximate form of the temperature distribution is computed. The convergence analysis is also discussed. Some results are reported to demonstrate the capability of the method in predicting the multiplicity of the solutions for this problem.
Originality/value
The duality of the solution of the problem can be easily predicted by using the presented method. Furthermore, the computational results confirm the acceptable accuracy of the presented numerical scheme even for estimating the unstable lower solution of the problem.
Keywords
Acknowledgements
The authors are very thankful to the reviewers for carefully reading the paper, their comments and suggestions have improved the quality of the paper.
Citation
Karamollahi, N., Barid Loghmani, G. and Heydari, M. (2021), "Dual solutions of the nonlinear problem of heat transfer in a straight fin with temperature-dependent heat transfer coefficient", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 3, pp. 1032-1055. https://doi.org/10.1108/HFF-04-2020-0201
Publisher
:Emerald Publishing Limited
Copyright © 2020, Emerald Publishing Limited