國家衛生研究院 NHRI:Item 3990099045/14016

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Title:	Weakly nonlinear stability analysis of salt-finger convection in a longitudinally infinite cavity
Authors:	Chou, YD;Hwang, WS;Solovchuk, M;Siddheshwar, PG;Sheu, TWH;Chakraborty, S
Contributors:	Institute of Biomedical Engineering and Nanomedicine
Abstract:	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.
Date:	2022-01-20
Relation:	Physics of Fluids. 2022 Jan 20;34:Article number 011908.
Link to:	http://dx.doi.org/10.1063/5.0070705
JIF/Ranking 2023:	http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=NHRI&SrcApp=NHRI_IR&KeyISSN=1070-6631&DestApp=IC2JCR
Cited Times(WOS):	https://www.webofscience.com/wos/woscc/full-record/WOS:000747691700003
Cited Times(Scopus):	https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85123755988
Appears in Collections:	[Maxim Solovchuk] Periodical Articles

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