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 Study of Influence of Combustion on DarcyBard Convection with Inherent Local Thermal Non-equilibrium Between Phases Subject The topic of the resource Chebyshev spectral method; Chemical reaction; Combustion; Energy method; FrankKamenetskii number Description An account of the resource This work deals with a DarcyBard convection problem in the presence of combustion and with local thermal non-equilibrium between the fluid and the solid phases. The effects of combustion and local thermal non-equilibrium on the onset of convection is studied in the linear and nonlinear regimes. Unlike all reported local thermal non-equilibrium problems reported so far, the present problem has a unique situation of having thermal non-equilibrium not only in the perturbed state but also in the basic state. Further, we observe that local thermal non-equilibrium does not, under any circumstance, lead to local thermal equilibrium except in an approximate sense when the combustion is quite weak. The effect of combustion is to advance the onset of convection compared to that in its absence. The effect of local thermal non-equilibrium is to reinforce the effect of combustion. In the presence of both these effects, sub-critical instability exists. The results are obtained numerically and have implication in practical porous medium convection problems. 2022, The Author(s), under exclusive licence to Springer Nature B.V. Creator An entity primarily responsible for making the resource Nandal R.; Siddheshwar P.G.; Neela D. Source A related resource from which the described resource is derived Transport in Porous Media, Vol-146, No. 3, pp. 741-769. Publisher An entity responsible for making the resource available Springer Science and Business Media B.V. 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/10.1007/s11242-022-01886-1" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s11242-022-01886-1</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143692806&amp;doi=10.1007%2Fs11242-022-01886-1&amp;partnerID=40&amp;md5=23b2b43022fc0a91b2674cd6fa1c5cb3" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143692806&amp;doi=10.1007%2fs11242-022-01886-1&amp;partnerID=40&amp;md5=23b2b43022fc0a91b2674cd6fa1c5cb3</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 1693913; CODEN: TPMEE 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 Nandal R., Department of Mathematics, Centre for Mathematical Needs, Christ (Deemed to be University), Bengaluru, 560029, India; Siddheshwar P.G., Department of Mathematics, Centre for Mathematical Needs, Christ (Deemed to be University), Bengaluru, 560029, India; Neela D., Department of Mathematics, NIT Warangal, Telangana, Hanamkonda, 506004, India