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 Mathapati, Bhagya; Ragoju, Ravi; Reddy, G. Shivakumar; Siddheshwar, P.G. Title A name given to the resource Global stability analysis of thermofluid convection in an inclined porous layer with viscous dissipation, throughflow, and local thermal non-equilibrium effects 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 Physics of Fluids;Volume;37;Issue;7;Article No.;74122; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1063/5.0267898" target="_blank" rel="noreferrer noopener">https://doi.org/10.1063/5.0267898</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105012126378?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105012126378?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 Mathapati B., Department of Applied Sciences, National Institute of Technology Goa, Goa, Cuncolim, 403703, India; Ragoju R., Department of Applied Sciences, National Institute of Technology Goa, Goa, Cuncolim, 403703, India; Reddy G.S., Department of Applied Sciences, National Institute of Technology Goa, Goa, Cuncolim, 403703, India; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, Christ University, Bengaluru, 560029, India Description An account of the resource The onset of thermal convection in an inclined porous medium under the effect of viscous dissipation with throughflow, using a local thermal non-equilibrium model, is investigated. Darcy's law is used to describe the flow. The stability of the flow is analyzed through linear and nonlinear analyses. A linear instability analysis of disturbances in the form of rolls is performed through the normal mode technique, while the energy method is applied for nonlinear stability analysis by defining an energy functional. The boundary eigenvalue problem that emerges in the two analyses is solved using the boundary value problem solver (bvp4c) in MATLAB R2023a. The impact of the inter-phase heat transfer parameter, H, the porosity-modified conductivity ratio, ? , inclination angle, ? , and the stability parameter, ? ? , on the critical Rayleigh value, R a c ? , is systematically analyzed. The accuracy of the linear instability thresholds are validated with those reported in the existing literature. The results of linear and nonlinear theories have been compared. The study reveals that the inter-phase heat transfer parameter enhances flow stability, while the inclination angle serves as a stabilizing factor in the linear analysis but as a destabilizing factor in the nonlinear analysis, indicating the possibility of sub-critical motion. The stability across all inclination angles depends on ? ? ; specifically, ? ? acts as a stabilizing influence at smaller inclinations but exhibits a monotonic destabilizing effect at larger inclination angles. 2025 Author(s). Publisher An entity responsible for making the resource available American Institute of Physics Relation A related resource ISSN: 10706631; CODEN: PHFLE 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