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 Nonlinear stability analysis of Rayleigh-Bard problem for a Navier-Stokes-Voigt fluid Subject The topic of the resource Double diffusive convection; Ekman damping; Kelvin-Voigt; Navier-Stokes-Voigt fluid; Nonlinear stability analysis Description An account of the resource The linear and nonlinear stability analyses of thermosolutal convection in a non-Newtonian Navier-Stokes-Voigt fluid, considering Soret and Ekman damping effects, are conducted analytically. Instability thresholds are determined for thermosolutal convection within a viscoelastic fluid of the Kelvin-Voigt type, wherein a dissolved salt field exists. Two scenarios are examined: one where the fluid layer is heated from the bottom and concurrently salted from the bottom, and the other where the fluid layer is heated from the bottom and concurrently salted from the top. The governing partial differential equations system includes conservation laws of mass, momentum, energy, and salt concentration. Using the energy method, the disturbances to the fluid system are shown to decay exponentially. Analytical expressions are developed for the eigenvalue as a function of Soret, Lewis, Prandtl, Kelvin-Voigt, and Rayleigh friction numbers. The study illustrates the shift from a stationary mode of convection to an oscillatory mode and provides thresholds that indicate these transitions. It is found that the viscoelastic property of the fluid acts as a stabilizing agent for oscillatory mode convection. Rayleigh friction substantially controls the convection threshold. Upon comparing threshold values between linear and nonlinear theories, a subcritical instability region is observed in the heating bottom-salting bottom case (case-1), whereas such a region is absent in the heating bottom-salting top case (case-2). 2024 Elsevier Ltd Creator An entity primarily responsible for making the resource Basavarajappa M.; Bhatta D. Source A related resource from which the described resource is derived International Journal of Non-Linear Mechanics, Vol-162 Publisher An entity responsible for making the resource available Elsevier Ltd 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/10.1016/j.ijnonlinmec.2024.104712" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.ijnonlinmec.2024.104712</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189108280&amp;doi=10.1016%2Fj.ijnonlinmec.2024.104712&amp;partnerID=40&amp;md5=bd4cd324bc17230a6a85bdb391fe300d" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189108280&amp;doi=10.1016%2fj.ijnonlinmec.2024.104712&amp;partnerID=40&amp;md5=bd4cd324bc17230a6a85bdb391fe300d</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 207462; CODEN: IJNMA 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 Basavarajappa M., School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, 78539, TX, United States, Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Banglore, 560029, India; Bhatta D., School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, 78539, TX, United States