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 Weakly nonlinear stability analysis of salt-finger convection in a longitudinally infinite cavity Description An account of the resource This paper is a two-dimensional linear and weakly nonlinear stability analyses of the three-dimensional problem of Chang et al. ["Three-dimensional stability analysis for a salt-finger convecting layer,"J. Fluid Mech. 841, 636-653 (2018)] concerning salt-finger convection, which is seen when there is sideways heating and salting along the vertical walls along with a linear variation of temperature and concentration on the horizontal walls. A two-dimensional linear stability analysis is first carried out in the problem with the knowledge that the result could be different from those of a three-dimensional study. A two-dimensional weakly nonlinear stability analysis, that is, then performed points to the possibility of the occurrence of sub-critical motions. Stability curves are drawn to depict various instability regions. With the help of a detailed stability analysis, the stationary mode is shown to be the preferred one compared to oscillatory. Local nonlinear stability analysis of the system is done in a neighborhood of the critical Rayleigh number to predict a sub-critical instability region. The existence of a stable solution at the onset of a weakly nonlinear convective regime is indicated, allowing one to perform a bifurcation study in the problem. Heat and mass transports are discussed by analyzing the Nusselt number, Nu, and Sherwood number, Sh, respectively. A simple relationship is obtained between the Nusselt number and the Sherwood number exclusively in terms of the Lewis number, Le. 2022 Author(s). Creator An entity primarily responsible for making the resource Chou Y.-D.; Hwang W.-S.; Solovchuk M.; Siddheshwar P.G.; Sheu T.W.-H.; Chakraborty S. Source A related resource from which the described resource is derived Physics of Fluids, Vol-34, No. 1 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 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1063/5.0070705" target="_blank" rel="noreferrer noopener">https://doi.org/10.1063/5.0070705</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123755988&amp;doi=10.1063%2F5.0070705&amp;partnerID=40&amp;md5=ff8da4b8c2d7d08134f3be2d1a0111ef" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123755988&amp;doi=10.1063%2f5.0070705&amp;partnerID=40&amp;md5=ff8da4b8c2d7d08134f3be2d1a0111ef</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 Chou Y.-D., Department of Engineering Science and Ocean Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan; Hwang W.-S., Department of Engineering Science and Ocean Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan; Solovchuk M., Institute of Biomedical Engineering and Nanomedicine, National Health Research Institute, No. 35, Keyan Road Zhunan, 35053, Taiwan; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to Be University), Bengaluru, 560029, India; Sheu T.W.-H., Department of Engineering Science and Ocean Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan; Chakraborty S., Department of Engineering Science and Ocean Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan