ItemArticle

Viscosity dissipation and BrinkmanBard convection with thermal anisotropy: stability studies in both linear and nonlinear

Title
Viscosity dissipation and BrinkmanBard convection with thermal anisotropy: stability studies in both linear and nonlinear
Creator
Kumar, Anil; Bhargavi, D.; Mourya, P.K.; Siddheshwar, P.G.
Description
This study presents both linear and nonlinear stability analyses of BrinkmanBard convection in a porous medium, considering the effects of thermal anisotropy. The flow occurs between two walls maintained at uniform but different temperatures. The critical Rayleigh number is examined, including variations in the Darcy number, porosity, Prandtl number, and anisotropic thermal conductivity, with both linear and nonlinear stability regimes analyzed. Contour plots of streamlines and isotherms are provided to visualize fluid and heat flow directions. The results demonstrate that the presence of the porous medium inhibits convection and reduces the cell size at the onset of instability. Additionally, thermal anisotropy stabilizes the system, with the region of subcritical instability shrinking as the anisotropy parameter increases. While the linear stability analysis does not reveal any significant impact of viscous dissipation, the nonlinear stability analysis shows that viscous dissipation destabilizes the system. These findings contribute to a deeper understanding of the interplay between thermal anisotropy, porosity, and convection behavior in porous media, with implications for various engineering and geophysical applications. The Author(s), under exclusive licence to SocietItaliana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025.
Source
European Physical Journal Plus;Volume;140;Issue;9;Article No.;833;
Date
01-01-2025
Publisher
Springer Science and Business Media Deutschland GmbH
Coverage
Kumar A., Department of Mathematics, National Institute of Technology, Warangal, Telangana, Warangal, 506004, India; Bhargavi D., Department of Mathematics, National Institute of Technology, Warangal, Telangana, Warangal, 506004, India; Mourya P.K., Department of Mathematics, Indian Institute of Technology Hyderabad, Telangana, Kandi, 502284, India; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, 560029, India
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 21905444;
Format
online
Language
English
Type
Article

Citation

Kumar, Anil; Bhargavi, D.; Mourya, P.K.; Siddheshwar, P.G., “Viscosity dissipation and BrinkmanBard convection with thermal anisotropy: stability studies in both linear and nonlinear,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 19, 2026, https://archives.christuniversity.in/items/show/23005.

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