https://doi.org/10.1140/epjp/s13360-024-05048-8
Regular Article
The effect of rotation on ferroconvection in the presence of couple stress forces in porous medium: a nonlinear analysis
1
Department of Mathematics and Scientific Computing, National Institute of Technology Hamirpur, 177005, Hamirpur, Himachal Pradesh, India
2
Department of Mathematics, Government College Nagrota Bagwan, 176047, Kangra, Himachal Pradesh, India
Received:
16
January
2024
Accepted:
28
February
2024
Published online:
11
March
2024
This study investigates the effect of rotation on ferrofluid layer saturating a porous medium, heated from below, in the presence of couple stress forces. The analysis considers three bounding surfaces (i.e. free-free, rigid-free, and rigid-rigid) and formulates eigenvalue problems by employing linear and nonlinear analyses. Linear analysis employs normal mode analysis, while nonlinear analysis utilizes the energy method, introducing a generalized energy functional. The energy decay is established through nonlinear energy argument. The Galerkin type method is applied to solve the obtained eigenvalue problems. The findings reveal the existence of a subcritical region, which diminishes with an increase in the magnetization and medium permeability whereas, it expands with an increase in the couple stress parameter and rotation. Additionally, the effect of these parameters on the stability analysis has also been discussed. The detailed analysis of various parameters for different combinations of bounding surfaces has also been analyzed.
Sunil Kumar, Reeta Devi have contributed equally to this work.
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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.
