https://doi.org/10.1140/epjp/s13360-024-05510-7
Regular Article
Robust finite difference scheme for the magnetohydrodynamics natural convection in a quadrant-shaped enclosure with radiation effect
1
Department of Mathematics, Mohan Babu University (Erstwhile Sree Vidyanikethan Engineering college), 517102, Tirupati, A.P., India
2
Department of Mathematics, Madanapalle Institute of Technology and Science, 517325, Madanapalle, A.P., India
3
Multi-Physical Engineering Sciences Group, Aeronautical/Mechanical Engineering, School of Science, Engineering and Environment (SEE), Salford University, M54WT, Manchester, UK
a venkatadri.venki@gmail.com, venkatadri.k@mbu.asia
Received:
5
April
2024
Accepted:
27
July
2024
Published online:
7
August
2024
Modern hybrid fuel cells and electromagnetic batch processes feature many complex nonlinear phenomena that can be investigated using advanced numerical methods. Motivated by these applications, the main focus of the present study is to examine the hydromagnetic laminar natural convection in a quadrant-shaped enclosure containing an electrically conducting liquid. The horizontal straight boundary is thermally insulated; the right wall is hot, while the curved boundary is cold. Rosseland’s radiative diffusion flux model is deployed. A vorticity-stream finite difference approach was adopted to obtain a numerical solution for the dimensionless nonlinear transport equations. A comprehensive parametric analysis of the impact of Hartmann magnetic number, Rosseland–Boltzmann radiative parameter, and Rayleigh (natural convection) number on streamline and isotherm contour distributions in the enclosure is conducted. With increasing radiative parameters, the vortex cell structure becomes more homogenous and contracts from an elliptical to a circulator configuration, and isotherms are intensified at the upper and vertical boundaries. More homogenous heat distributions are produced deeper into the enclosure from the curved wall. A noticeable improvement in Nusselt number is generated along the hot boundary with increasing Rayleigh number and radiative parameter, whereas significant depletion is computed with greater Hartmann number.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
