Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Kumar, Anil; Bhargavi, D.; Mourya, P.K.; Siddheshwar, P.G. Title A name given to the resource Viscosity dissipation and BrinkmanBard convection with thermal anisotropy: stability studies in both linear and nonlinear Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived European Physical Journal Plus;Volume;140;Issue;9;Article No.;833; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1140/epjp/s13360-025-06788-x" target="_blank" rel="noreferrer noopener">https://doi.org/10.1140/epjp/s13360-025-06788-x</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105015088437?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105015088437?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant 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 Description An account of the resource 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. Publisher An entity responsible for making the resource available Springer Science and Business Media Deutschland GmbH Relation A related resource ISSN: 21905444; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online