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 Soibam, Davita Devi; Siddheshwar, Pradeep G.; Idris, Ruwaidiah Title A name given to the resource Comparison of the Results of Steady Darcy-Be ?ard Convection Problems of the Classical and the Barletta Types 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 CFD Letters;Volume;17;Issue;9;pp.163-177 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.37934/cfdl.17.9.163177" target="_blank" rel="noreferrer noopener">https://doi.org/10.37934/cfdl.17.9.163177</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105003423467?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105003423467?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 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 Description An account of the resource 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. Subject The topic of the resource linear stability; Newtonian fluid; Nusselt number; Porous medium; weakly nonlinear stability Publisher An entity responsible for making the resource available Semarak Ilmu Publishing Relation A related resource ISSN: 21801363; 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 All Open Access; Gold Open Access Format The file format, physical medium, or dimensions of the resource online