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 Effect of gravity modulation on linear, weakly-nonlinear and local-nonlinear stability analyses of stationary double-diffusive convection in a dielectric liquid Subject The topic of the resource Dielectric liquid; Double-diffusive convection; GinzburgLandau equation; Gravity modulation; Lorenz model; Nusselt number; Sherwood number Description An account of the resource The paper deals with the study of effect of gravity modulation on double-diffusive convection in a dielectric liquid for the cases of rigid-rigid and free-free boundaries. Using a modified Venezian approach, expressions for the Rayleigh number and its correction are determined. FourierGalerkin expansion is employed for a weakly nonlinear stability analysis and this results in a fifth-order Lorenz system that retains the structure of the classical one in the limiting case. A local nonlinear stability analysis using the method of multiscales leads to the time-periodic GinzburgLandau equation from the time-periodic generalized Lorenz system and the numerical solution of this simpler equation helps in quantifying unsteady heat and mass transports. Influence of various non-dimensional parameters (Lewis number, solutal Rayleigh number, electrical Rayleigh number and Prandtl number), amplitude and frequency of gravity modulation on onset of convection and heat and mass transports is discussed. The study reveals that the influence of gravity modulation is to stabilize the system and enhance heat and mass transports. The results from free-free boundaries are qualitatively similar to that of rigid-rigid boundaries. Further, it is shown that in the case of free-free boundaries the heat and mass transports are less compared to those of rigid-rigid boundaries. 2020, Springer Nature B.V. Creator An entity primarily responsible for making the resource Siddheshwar P.G.; Revathi B.R.; Kanchana C. Source A related resource from which the described resource is derived Meccanica, Vol-55, No. 10, pp. 2003-2019. 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 2020-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s11012-020-01241-y" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s11012-020-01241-y</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85092561269&amp;doi=10.1007%2Fs11012-020-01241-y&amp;partnerID=40&amp;md5=a3f86bb716983081c2f7e23d0c99301d" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85092561269&amp;doi=10.1007%2fs11012-020-01241-y&amp;partnerID=40&amp;md5=a3f86bb716983081c2f7e23d0c99301d</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 256455; CODEN: MECCB 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), Bangalore, 560029, India; Revathi B.R., Department of Mathematics, Nitte Meenakshi Institute of Technology, Bangalore, 560064, India; Kanchana C., Instituto de Alta Investigaci, Universidad de Tarapac Casilla 7 D, Arica, Chile