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 Articles 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/. Title A name given to the resource Analytical study of BrinkmanBard convection in a bidisperse porous medium: Linear and weakly nonlinear study Subject The topic of the resource Bi-disperse porous medium; BrinkmanBard convection; LTNE; Mono-disperse porous medium; Rigidrigid boundaries Description An account of the resource Linear and weakly nonlinear stability analyses of BrinkmanBard convection of a Newtonian fluid saturating a bidisperse porous medium (BDPM) are made. Local-thermal-non-equilibrium (LTNE) is assumed between the fluid and the porous spheres (micro-pores) that make up the macro porous medium. Two coupled linear momentum equations are considered one each for the macro- and micro-pores. Results of mono-disperse porous medium (MDPM) with solid spheres are recovered as a limiting case of the present study. Further, in the case of both types of porous media considered the results of DarcyBard and BrinkmanBard convection are extracted under suitable limiting procedures. To keep the work analytical, we reduce the intractable hexa-modal Lorenz model with four quadratic nonlinearities into the tractable mono-modal StuartLandau equation (SLE) with cubic and quintic nonlinearities. Subcritical instability is discounted in the study thereby suggesting that cubic SLE and cubicquintic SLE both expound similar results qualitatively. The concept of a BDPM is shown to be meaningful only when the pores are not large, and when they are very small, then the MDPM assumption applies. Similar observation can be made when the ratio of permeabilities is large. The presence of micro-pores does not alter the size of the convective cell significantly at the onset. The present study reiterates the findings of several earlier works. 2023 Elsevier Ltd Creator An entity primarily responsible for making the resource Siddabasappa C.; Siddheshwar P.G.; Mallikarjunaiah S.M. Source A related resource from which the described resource is derived Thermal Science and Engineering Progress, Vol-39 Publisher An entity responsible for making the resource available Elsevier Ltd Date A point or period of time associated with an event in the lifecycle of the resource 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1016/j.tsep.2023.101696" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.tsep.2023.101696</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85150339245&amp;doi=10.1016%2Fj.tsep.2023.101696&amp;partnerID=40&amp;md5=16fe88f44c62a29d9a529721ec1db885" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85150339245&amp;doi=10.1016%2fj.tsep.2023.101696&amp;partnerID=40&amp;md5=16fe88f44c62a29d9a529721ec1db885</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 24519049 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Siddabasappa C., Department of Mathematics and Statistics, Texas A&amp;M UniversityCorpus Christi, 6300 Ocean Drive, Corpus Christi, 78412, TX, United States, Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Bangalore, India; Siddheshwar P.G., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560029, India; Mallikarjunaiah S.M., Department of Mathematics and Statistics, Texas A&amp;M UniversityCorpus Christi, 6300 Ocean Drive, Corpus Christi, 78412, TX, United States