https://doi.org/10.1140/epjp/s13360-023-04290-w
Regular Article
Effect of an ascendant magnetic field on Rayleigh–Bénard convection for non-Newtonian power-law fluids in a horizontal rectangular cavity submitted to vertical temperature gradient
1
Team of Modern and Applied Physics, Laboratory of Search in Physics and Science for Engineer, Polydisciplinary Faculty, Sultan Moulay Slimane University, B.P. 592, Béni-Mellal, Morocco
2
Team of Research in Renewable Energies and Technological Innovation, Laboratory of Search in Physics and Science for Engineer, Polydisciplinary Faculty, Sultan Moulay Slimane University, B.P. 592, Béni-Mellal, Morocco
3
Laboratory of Industrial Engineering and Surface Engineering, Faculty of Science and Technologies, Sultan Moulay Slimane University, B.P. 523, Béni-Mellal, Morocco
a t.makayssi@usms.ma, tmkayssi@gmail.com
Received:
21
December
2022
Accepted:
15
July
2023
Published online:
25
July
2023
We approach the effect of an external magnetic field on induced natural convection flows within a horizontal rectangular cavity heated from below and containing electrically conducting non-Newtonian fluids. The vertical walls of this cavity are assumed to be insulated. The rheological behavior of the fluids considered is modeled by the power-law of Ostwald-De-Weale. The centered finite difference method is used to solve the governing equations. The parameters on which this problem depends are the aspect ratio of the cavity, A, the Rayleigh number, Ra, the Prandtl number, Pr, the fluid behavior index, n and the Hartmann number, Ha. The effect of magnetic field, rheology and their interaction on flow and heat transfer is examined and discussed in detail.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
