Alkasassbeh, Mohammad and Omar, Zurni and Mebarek-Oudina, Fateh and Raza, Jawad and Chamkha, Ali (2019) Heat transfer study of convective fin with temperature-dependent internal heat generation by hybrid block method. Heat Transfer-Asian Research. pp. 1-19. ISSN 10992871

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Abstract

Purpose: In this study, an implicit one‐step hybrid block method using two off‐step points involving the presence of a third derivative for solving second‐order boundary value problems are subjected to Dirichlet‐mixed conditions. Methodology: To derive this method, the approximate power series solution is interpolated at urn:x-wiley:10992871:media:htj21428:htj21428-math-0001 while its second and third derivatives are collocated at all points urn:x-wiley:10992871:media:htj21428:htj21428-math-0002 on the integrated interval of approximation. Findings: The new derived method not only performs better compared with the existing methods when solving the same problems but also obtains better properties of the numerical method. Afterward, the proposed method is applied to solve the problem of a convective fin with temperature‐dependent internal heat generation. The effects of various physical parameters on temperature distribution are also examined.

Item Type:	Article
Uncontrolled Keywords:	convective fin, heat transfer, hybrid block method, interpolation, thermal analysis
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	01 Dec 2020 05:57
Last Modified:	01 Dec 2020 05:57
URI:	https://repo.uum.edu.my/id/eprint/27935

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