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 study of Darcy-Bard regular and chaotic convection using a new local thermal non-equilibrium formulation Description An account of the resource The onset of Darcy-Bard regular and chaotic convection in a porous medium is studied by considering phase-lag effects that naturally arise in the thermal non-equilibrium heat transfer problem between the fluid and solid phases. A new type of heat equation is derived for both the phases. Using a double Fourier series and a novel decomposition, an extended Vadasz-Lorenz model with three phase-lag effects is derived. New parameters arise due to the phase-lag effects between local acceleration, convective acceleration, and thermal diffusion. The principle of exchange of stabilities is found to be valid and the subcritical instability is discounted. The new perspective supports the finding of an analytical expression for the critical Darcy-Rayleigh numbers representing, respectively, the onset of regular and chaotic convection. The understanding of the transition from the local thermal non-equilibrium situation to the local thermal equilibrium one is also best explained through the new perspective. In its present elegant form, the extended Vadasz-Lorenz system with three phase-lag effects is analyzed using the largest Lyapunov exponent and the bifurcation diagram. It is found that the lag effects not only give rise to a quantitative difference in the above two metrics concerning chaos, but also present a qualitative difference as well in the form of the very nature of chaos. 2021 Author(s). Creator An entity primarily responsible for making the resource Siddheshwar P.G.; Kanchana C.; Laroze D. Source A related resource from which the described resource is derived Physics of Fluids, Vol-33, No. 4 Publisher An entity responsible for making the resource available American Institute of Physics Inc. Date A point or period of time associated with an event in the lifecycle of the resource 2021-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1063/5.0046358" target="_blank" rel="noreferrer noopener">https://doi.org/10.1063/5.0046358</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104552776&amp;doi=10.1063%2F5.0046358&amp;partnerID=40&amp;md5=8b518b7c3ec1171290efffa091587928" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104552776&amp;doi=10.1063%2f5.0046358&amp;partnerID=40&amp;md5=8b518b7c3ec1171290efffa091587928</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 10706631; CODEN: PHFLE 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., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Kanchana C., Instituto de Alta Investigacin, Sede Esmeralda, Universidad de Tarapacá, Av. Luis Emilio Recabarren 2477, Iquique, Chile; Laroze D., Instituto de Alta Investigacin, CEDENNA, Universidad de Tarapacá, Casilla 7 D, Arica, Chile