ItemArticle

Global stability analysis of thermofluid convection in an inclined porous layer with viscous dissipation, throughflow, and local thermal non-equilibrium effects

Title
Global stability analysis of thermofluid convection in an inclined porous layer with viscous dissipation, throughflow, and local thermal non-equilibrium effects
Creator
Mathapati, Bhagya; Ragoju, Ravi; Reddy, G. Shivakumar; Siddheshwar, P.G.
Description
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).
Source
Physics of Fluids;Volume;37;Issue;7;Article No.;74122;
Date
01-01-2025
Publisher
American Institute of Physics
Coverage
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
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 10706631; CODEN: PHFLE
Format
online
Language
English
Type
Article

Citation

Mathapati, Bhagya; Ragoju, Ravi; Reddy, G. Shivakumar; Siddheshwar, P.G., “Global stability analysis of thermofluid convection in an inclined porous layer with viscous dissipation, throughflow, and local thermal non-equilibrium effects,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/22620.

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