ItemArticle

Weakly nonlinear stability analysis of salt-finger convection in a longitudinally infinite cavity

Title
Weakly nonlinear stability analysis of salt-finger convection in a longitudinally infinite cavity
Creator
Chou Y.-D.; Hwang W.-S.; Solovchuk M.; Siddheshwar P.G.; Sheu T.W.-H.; Chakraborty S.
Description
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).
Source
Physics of Fluids, Vol-34, No. 1
Date
2022-01-01
Publisher
American Institute of Physics Inc.
Coverage
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
Rights
Restricted Access
Relation
ISSN: 10706631; CODEN: PHFLE
Format
Online
Language
English
Type
Article

Collection

Articles

Citation

Chou Y.-D.; Hwang W.-S.; Solovchuk M.; Siddheshwar P.G.; Sheu T.W.-H.; Chakraborty S., “Weakly nonlinear stability analysis of salt-finger convection in a longitudinally infinite cavity,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/15434.

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