Theoretical analysis of MHD Williamson flow across a rotating inclined surface

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Main Authors: Abayomi, S.Oke, Belindar A.Juma, Afolabi, G.Ariwayo, Olum, J.Ouru
Other Authors: okeabayomisamuel@gmail.com
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2023
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Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77727
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spelling 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
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Coriolis force
Inclination angle
Williamson fluid
MHD flow
spellingShingle 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
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 okeabayomisamuel@gmail.com
author_facet okeabayomisamuel@gmail.com
Abayomi, S.Oke
Belindar A.Juma
Afolabi, G.Ariwayo
Olum, J.Ouru
format 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
_version_ 1772813101721190400
score 13.222552