LAPSE:2019.1215
Published Article
LAPSE:2019.1215
Numerical Solutions of Heat Transfer for Magnetohydrodynamic Jeffery-Hamel Flow Using Spectral Homotopy Analysis Method
November 24, 2019
This paper studies heat transfer in a two-dimensional magnetohydrodynamic viscous incompressible flow in convergent/divergent channels. The temperature profile was obtained numerically for both cases of convergent/divergent channels. It was found that the temperature profile increases with an increase in Reynold number, Prandtl number, Nusselt number and angle of the wall but decreases with an increase in Hartmann number. A relatively new numerical method called the spectral homotopy analysis method (SHAM) was used to solve the governing non-linear differential equations. The SHAM 3rd order results matched with the DTM and shooting, showing that SHAM is feasible as a technique to be used.
Keywords
boundary value problems, fluid, heat transfer, Jeffery-Hamel, ordinary differential equations, partial differential equations, semi-analytical technique, spectral homotopy
Suggested Citation
Mahmood A, Md Basir MF, Ali U, Mohd Kasihmuddin MS, Mansor MA. Numerical Solutions of Heat Transfer for Magnetohydrodynamic Jeffery-Hamel Flow Using Spectral Homotopy Analysis Method. (2019). LAPSE:2019.1215
Author Affiliations
Mahmood A: Department of Mathematics, FBAS, International Islamic University, Islamabad 44000, Pakistan
Md Basir MF: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor Bahru, Malaysia [ORCID]
Ali U: School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia [ORCID]
Mohd Kasihmuddin MS: School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia [ORCID]
Mansor MA: School of Distance Education, Universiti Sains Malaysia, Penang 11800, Malaysia
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Journal Name
Processes
Volume
7
Issue
9
Article Number
E626
Year
2019
Publication Date
2019-09-17
Published Version
ISSN
2227-9717
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Original Submission
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PII: pr7090626, Publication Type: Journal Article
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LAPSE:2019.1215
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doi:10.3390/pr7090626
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Nov 24, 2019
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[v1] (Original Submission)
Nov 24, 2019
 
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Nov 24, 2019
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Original Submitter
Calvin Tsay
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