Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel flow using spectral homotopy analysis method
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 increa...
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my.utm.876692020-11-30T12:57:44Z http://eprints.utm.my/id/eprint/87669/ Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel flow using spectral homotopy analysis method Mahmood, Asad Md. Basir, Md. Faisal Ali, Umair Mohd. Kasihmuddin, Mohd. Shareduwan Mansor, Mohd. Asyraf QA Mathematics 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. MDPI 2019 Article PeerReviewed Mahmood, Asad and Md. Basir, Md. Faisal and Ali, Umair and Mohd. Kasihmuddin, Mohd. Shareduwan and Mansor, Mohd. Asyraf (2019) Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel flow using spectral homotopy analysis method. Processes, 7 (9). p. 626. ISSN 2227-9717 http://dx.doi.org/10.3390/pr7090626 |
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QA Mathematics Mahmood, Asad Md. Basir, Md. Faisal Ali, Umair Mohd. Kasihmuddin, Mohd. Shareduwan Mansor, Mohd. Asyraf Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel flow using spectral homotopy analysis method |
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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. |
format |
Article |
author |
Mahmood, Asad Md. Basir, Md. Faisal Ali, Umair Mohd. Kasihmuddin, Mohd. Shareduwan Mansor, Mohd. Asyraf |
author_facet |
Mahmood, Asad Md. Basir, Md. Faisal Ali, Umair Mohd. Kasihmuddin, Mohd. Shareduwan Mansor, Mohd. Asyraf |
author_sort |
Mahmood, Asad |
title |
Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel flow using spectral homotopy analysis method |
title_short |
Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel flow using spectral homotopy analysis method |
title_full |
Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel flow using spectral homotopy analysis method |
title_fullStr |
Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel flow using spectral homotopy analysis method |
title_full_unstemmed |
Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel flow using spectral homotopy analysis method |
title_sort |
numerical solutions of heat transfer for magnetohydrodynamic jeffery-hamel flow using spectral homotopy analysis method |
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MDPI |
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2019 |
url |
http://eprints.utm.my/id/eprint/87669/ http://dx.doi.org/10.3390/pr7090626 |
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1685578971475869696 |
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13.160551 |