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 A Unified Approach to Two-Dimensional Brinkman-Bard Convection of Newtonian Liquids in Cylindrical and Rectangular Enclosures Subject The topic of the resource BrinkmanBard convection; cylindrical and rectangular geometries; onset of convection Description An account of the resource A unified model for the analysis of two-dimensional BrinkmanBard/RayleighBard/ DarcyBard convection in cylindrical and rectangular enclosures ((Formula presented.)) saturated by a Newtonian liquid is presented by adopting the local thermal non-equilibrium ((Formula presented.)) model for the heat transfer between fluid and solid phases. The actual thermophysical properties of water and porous media are used. The range of permissible values for all the parameters is calculated and used in the analysis. The result of the local thermal equilibrium ((Formula presented.)) model is obtained as a particular case of the (Formula presented.) model through the use of asymptotic analyses. The critical value of the Rayleigh number at which the entropy generates in the system is reported in the study. The analytical expression for the number of Bard cells formed in the system at the onset of convection as a function of the aspect ratio, (Formula presented.), and parameters appearing in the problem is obtained. For a given value of (Formula presented.) it was found that in comparison with the case of (Formula presented.), more number of cells manifest in the case of (Formula presented.). Likewise, smaller cells form in the (Formula presented.) problem when compared with the corresponding problem of (Formula presented.). In the case of (Formula presented.), fewer cells form when compared to that in the case of (Formula presented.) and (Formula presented.). The above findings are true in both (Formula presented.) and (Formula presented.). In other words, the presence of a porous medium results in the production of less entropy in the system, or a more significant number of cells represents the case of less entropy production in the system. For small and finite (Formula presented.), the appearance of the first cell differs in the (Formula presented.) and (Formula presented.) problems. 2023 by the authors. Creator An entity primarily responsible for making the resource Siddheshwar P.G.; Lakshmi K.M.; Laroze D. Source A related resource from which the described resource is derived Entropy, Vol-26, No. 1 Publisher An entity responsible for making the resource available Multidisciplinary Digital Publishing Institute (MDPI) Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.3390/e26010002" target="_blank" rel="noreferrer noopener">https://doi.org/10.3390/e26010002</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85183090298&amp;doi=10.3390%2Fe26010002&amp;partnerID=40&amp;md5=67dac90c7fe10c011aefe45dcef22d04" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85183090298&amp;doi=10.3390%2fe26010002&amp;partnerID=40&amp;md5=67dac90c7fe10c011aefe45dcef22d04</a> Rights Information about rights held in and over the resource All Open Access; Gold Open Access; Green Open Access Relation A related resource ISSN: 10994300 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 Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to Be University), Hosur Road, Bengaluru, 560029, India; Lakshmi K.M., Department of Mathematics, School of Physical Sciences, Central University of Karnataka, Kalaburagi, 585367, India; Laroze D., Instituto de Alta Investigaci, Universidad de Tarapac Casilla 7D, Arica, 1000000, Chile