Global stability for penetrative double-diffusive convection in a porous medium

Hill, Antony A.

Abstract

Linear and nonlinear stability analyses of penetrative double-diffusive convection in a porous medium are performed. Adopting a standard energy method approach yields a nonlinear threshold which is independent of the salt field. An adaptation of a new operative method by Mulone and Straughan (ZAMM 86: 507-520, 2006) is used to construct a nonlinear threshold which is dependent on the salt field, greatly reducing the region of potential subcritical instabilities. The employment of this operative technique for problems with spatially dependent coefficients, as presented in this paper, is unexplored in the present literature. © 2008 Springer-Verlag Wien.

Citation

Hill, A. A. (2008). Global stability for penetrative double-diffusive convection in a porous medium. Acta Mechanica, 200(1-2), 1-10. https://doi.org/10.1007/s00707-007-0575-0

• Journal Article Type: Article
• Publication Date: Sep 1, 2008
• Journal: Acta Mechanica
• Print ISSN: 0001-5970
• Publisher: Springer (part of Springer Nature)
• Peer Reviewed: Peer Reviewed
• Volume: 200
• Issue: 1-2
• Pages: 1-10
• DOI: https://doi.org/10.1007/s00707-007-0575-0
• Keywords: global stability, penetrative double-diffusive convection, porous medium
• Public URL: https://uwe-repository.worktribe.com/output/1019065
• Publisher URL: http://dx.doi.org/10.1007/s00707-007-0575-0