Theoretical analysis of MHD Williamson flow across a rotating inclined surface
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Institute of Engineering Mathematics, Universiti Malaysia Perlis
2023
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my.unimap-777272023-01-25T04:38:08Z Theoretical analysis of MHD Williamson flow across a rotating inclined surface Abayomi, S.Oke Belindar A.Juma Afolabi, G.Ariwayo Olum, J.Ouru okeabayomisamuel@gmail.com abayomi.oke@aaua.edu.ng Department of Mathematics and Actuarial Science, Kenyatta University, Kenya Department of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Nigeria Coriolis force Inclination angle Williamson fluid MHD flow Link to publisher's homepage at https://amci.unimap.edu.my/ The desire to enhance transfer of mass and heat across rotating plates during industrial processes has increased recently. This study considers the flow of Williamson fluid due to its ability to exhibit pseudo-plastic nature while admitting shear-thinning properties. This study theoretically examines the effect of rotation, and angle of plate inclination on MHD flow of Williamson fluid. The flow is modelled as a system of PDEs formulated by including Coriolis force and angle of inclination in the Navier-Stokes equation. The system is reduced using similarity transformation and the solution is obtained using MATLAB bvp4c that executes the three-stage Lobato IIIa finite difference method. The results are displayed as graphs and flow velocity shows a direct proportional relationship with the rotation but inversely proportional to Prandtl number, MF strength, inclination angle, and Williamson parameter. The local skin friction reduces at the rate -0.8052 as the rotation increases. Heat and mass transfer rates can be enhanced by increasing rotation and decreasing MF strength. 2023-01-25T04:38:08Z 2023-01-25T04:38:08Z 2022-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.11(1), 2022, pages 133–145 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77727 en Institute of Engineering Mathematics, Universiti Malaysia Perlis |
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Coriolis force Inclination angle Williamson fluid MHD flow |
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Coriolis force Inclination angle Williamson fluid MHD flow Abayomi, S.Oke Belindar A.Juma Afolabi, G.Ariwayo Olum, J.Ouru Theoretical analysis of MHD Williamson flow across a rotating inclined surface |
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Link to publisher's homepage at https://amci.unimap.edu.my/ |
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okeabayomisamuel@gmail.com |
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okeabayomisamuel@gmail.com Abayomi, S.Oke Belindar A.Juma Afolabi, G.Ariwayo Olum, J.Ouru |
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Article |
author |
Abayomi, S.Oke Belindar A.Juma Afolabi, G.Ariwayo Olum, J.Ouru |
author_sort |
Abayomi, S.Oke |
title |
Theoretical analysis of MHD Williamson flow across a rotating inclined surface |
title_short |
Theoretical analysis of MHD Williamson flow across a rotating inclined surface |
title_full |
Theoretical analysis of MHD Williamson flow across a rotating inclined surface |
title_fullStr |
Theoretical analysis of MHD Williamson flow across a rotating inclined surface |
title_full_unstemmed |
Theoretical analysis of MHD Williamson flow across a rotating inclined surface |
title_sort |
theoretical analysis of mhd williamson flow across a rotating inclined surface |
publisher |
Institute of Engineering Mathematics, Universiti Malaysia Perlis |
publishDate |
2023 |
url |
http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77727 |
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1772813101721190400 |
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13.214268 |