ItemArticle

Comparison of the Results of Steady Darcy-Be ?ard Convection Problems of the Classical and the Barletta Types

Title
Comparison of the Results of Steady Darcy-Be ?ard Convection Problems of the Classical and the Barletta Types
Creator
Soibam, Davita Devi; Siddheshwar, Pradeep G.; Idris, Ruwaidiah
Description
The linear stability analysis of the Barletta-Darcy-Bnard convection problem in a horizontal fluid-saturated porous layer is extended to a weakly nonlinear stability analysis considering local thermal equilibrium (LTE) between the fluid and solid phases. The minimal Fourier-Galerkin expansion is used for the case of a free upper surface (Neumann boundary condition on the stream function) along with isothermal boundary condition for which heat transport is quantified in terms of the Nusselt number. The present article aims to fill the literature gap between the linear and nonlinear stability analyses of classical Darcy-Bnard convection and of Barletta-Darcy-Bnard convection. Weakly non-linear stability analysis has not been performed in the case of the non-classical Darcy-Bnard convection problem. A comparison of results of the present problem with those of the classical Darcy-Bnard convection problem is made. It is found that the cell size is larger in the case of the former problem compared to the latter. The critical Darcy-Rayleigh number, however is smaller in the former one. The Nusselt number varies inversely as the Rayleigh number, R and hence the Nusselt number increases with decrease in R which implies that more heat is transported in Barletta-Darcy-Bnard convection compared to classical Darcy-Bnard convection. 2025, Semarak Ilmu Publishing. All rights reserved.
Source
CFD Letters;Volume;17;Issue;9;pp.163-177
Date
01-01-2025
Publisher
Semarak Ilmu Publishing
Subject
linear stability; Newtonian fluid; Nusselt number; Porous medium; weakly nonlinear stability
Coverage
Soibam D.D., Centre for Mathematical Needs, Mathematics Department, CHRIST (Deemed to be University), Bengaluru, 560029, India; Siddheshwar P.G., Centre for Mathematical Needs, Mathematics Department, CHRIST (Deemed to be University), Bengaluru, 560029, India; Idris R., Special Interest Group for Modelling and Data Analytics, Faculty of Computer Science and Mathematics, Universiti Malaysia Terengganu, Kuala Nerus, Terengganu, 21030, Malaysia
Rights
All Open Access; Gold Open Access
Relation
ISSN: 21801363;
Format
online
Language
English
Type
Article

Citation

Soibam, Davita Devi; Siddheshwar, Pradeep G.; Idris, Ruwaidiah, “Comparison of the Results of Steady Darcy-Be ?ard Convection Problems of the Classical and the Barletta Types,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/23572.

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