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Theoretical analysis of MHD Williamson flow across a rotating inclined surface

Journal
Applied Mathematics and Computational Intelligence (AMCI)
ISSN
2289-1315
Date Issued
2022-12
Author(s)
Belindar A.Juma
Kenyatta University
Abayomi S. Oke
Adekunle Ajasin University
Afolabi G. Ariwayo
Adekunle Ajasin University
Olum J. Ouru
Kenyatta University
Handle (URI)
https://ejournal.unimap.edu.my/index.php/amci/article/view/132/99
https://ejournal.unimap.edu.my/index.php/amci
https://hdl.handle.net/20.500.14170/3094
Abstract
The desire to enhance transfer of mass and heat across rotating plates during industrial processeshas increased recently. This study considers the flow of Williamson fluid due to its ability to exhibitpseudo-plastic nature while admitting shear-thinning properties. This study theoretically examinesthe effect of rotation, and angle of plate inclination on MHD flow of Williamson fluid. The flow ismodelled as a system of PDEs formulated by including Coriolis force and angle of inclination in theNavier-Stokes equation. The system is reduced using similarity transformation and the solution isobtained 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 relationshipwith the rotation but inversely proportional to Prandtl number, MF strength, inclination angle, andWilliamson 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.
Subjects
  • Coriolis force

  • Inclination angle

  • Williamson fluid

  • MHD flow

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