ItemArticle

A Study on the Stability of DarcyBrinkmanBard Convection in a Binary Fluid-Saturated Porous Medium: RigidRigid Boundaries

Title
A Study on the Stability of DarcyBrinkmanBard Convection in a Binary Fluid-Saturated Porous Medium: RigidRigid Boundaries
Creator
Siddabasappa, C.; Babitha; Jeevan, B.S.
Description
The linear stability analysis of DarcyBrinkmanBard convection (DBBC) in a binary fluid-saturated porous layer is studied numerically using n term Galerkin approach for rigidrigid, isothermal boundaries. The occupied binary fluid and porous medium are assumed to be in thermal non-equilibrium. Thus, two energy equations are used for each phase. The critical values of the DarcyRayleigh and wave numbers for theonset of convectionare obtained by considering ten terms in the Galerkin solution. The effect of the five parameters of the model, namely the Darcy number, Da, the modified ratio of thermal conductivity ?, theLewis number Le, theseparation ratio coefficient, ?, and the inter-phase heat transfer coefficient, H, on the stability of the system is discussed in detail and presented with the aid of plots and tables. The onset of convection in a binary fluid-saturated porous medium is delayed for realistic boundary conditions compared with ideal boundary conditions (stress-free, isothermal boundary conditions). Increasing the values of theDarcy number, inter-phase heat transfer coefficient, and the separation ratio coefficient stabilizes DBBC. In contrast, the thermal conductivity ratioand Lewis number aredestabilize the system. Furthermore, convective cell size remains unaltered with increasing ?. Convection is delayed in thepure fluid medium compared to thebinary fluid medium. Local thermal non-equilibrium ceases for small and large inter-phase heat transfer coefficient values. The Author(s), under exclusive licence to Springer Nature B.V. 2025.
Source
Transport in Porous Media;Volume;152;Issue;7;Article No.;49;
Date
01-01-2025
Publisher
Springer Science and Business Media B.V.
Subject
Binary fluid; Galerkin method; Lewis number; Natural convection; Rayleigh number; Rigid-rigid boundaries
Coverage
Siddabasappa C., Department of Sciences and Humanities, CHRIST University, Karnataka, Bangalore, 560074, India; Babitha, Department of Mathematics, CHRIST University, Karnataka, Bangalore, 560029, India; Jeevan B.S., Department of Mathematics and Statistics, M S Ramaiah University of Applied Sciences, Karnataka, Bangalore, 560058, India
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 1693913; CODEN: TPMEE
Format
online
Language
English
Type
Article

Citation

Siddabasappa, C.; Babitha; Jeevan, B.S., “A Study on the Stability of DarcyBrinkmanBard Convection in a Binary Fluid-Saturated Porous Medium: RigidRigid Boundaries,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/21951.

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