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 Linear and Global Stability Analyses on the Influences of Thermal Non-Equilibrium and Non-uniform Gravity Field on DarcyBrinkmanBard Convection Subject The topic of the resource Energy method; Global stability analysis; Linear stability analysis; Local thermal equilibrium; Local thermal non-equilibrium; Subcritical motions; Variable gravity Description An account of the resource Global and linear stability analyses of DarcyBrinkmanBard convection in a liquid-saturated porous medium with a non-uniform gravity field using the local thermal non-equilibrium (LTNE) model are investigated. Linear and quadratic (parabolic) gravity field profiles are considered in the analysis. The OberbeckBoussinesq approximation is assumed to be a valid and the stationary mode of onset of convection is shown to be the preferred mode due to the validity of the principle of exchange of stabilities. Critical values of wavenumber and thermal Rayleigh number are obtained numerically using the higher-order Galerkin technique. The effect of an increase in the gravity fields strength is to delay the onset of convection, and to a growth in convective cell size. Further, linear convective profile is found to postpone convection compared to the quadratic one. Global stability ensures the existence of subcritical motions in the case of a non-uniform gravity field. In contrast, subcritical motions do not exist in constant gravity in LTE and LTNE situations. A non-uniform gravity field has a significant influence on the convective instability in a liquid-saturated high-porosity medium, lesser influence in the case of a low porosity medium and least in the case of a clear fluid layer. 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited. Creator An entity primarily responsible for making the resource Siddabasappa C.; Siddheshwar P.G. Source A related resource from which the described resource is derived International Journal of Applied and Computational Mathematics, Vol-7, No. 4 Publisher An entity responsible for making the resource available Springer 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/10.1007/s40819-021-01090-7" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s40819-021-01090-7</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85109097323&amp;doi=10.1007%2Fs40819-021-01090-7&amp;partnerID=40&amp;md5=073413c101b9fa9c30ad89f9f64b810c" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85109097323&amp;doi=10.1007%2fs40819-021-01090-7&amp;partnerID=40&amp;md5=073413c101b9fa9c30ad89f9f64b810c</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 23495103 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, M. S. Ramaiah University of Applied Sciences, Bangalore, 560 058, India; Siddheshwar P.G., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560 029, India