A differential constraint approach to obtain global stability for radiation-induced double-diffusive convection in a porous medium

Hill, Antony A.

Abstract

The stability of double-diffusive porous convection with a concentration-based internal heat source is studied. Owing to the significant sensitivity of standard energy method, a highly desirable reduction in the number of required coupling parameters is achieved through the novel energy method of van Duijn et al. (Environmental Mechanics: Water, Mass and Energy Transfer in the Biosphere. American Geophysical Union: Washington, DC, 2002; 155-169). This approach incorporates the Darcy equation as a differential constraint, and has been shown by van Duijn et al. to generally yield sharper nonlinear results. Owing to the widespread use of coupling parameters in analysing porous media stability, this result strongly advocates the differential constraint approach for obtaining optimal nonlinear stability thresholds. Copyright © 2008 John Wiley & Sons, Ltd.

• Journal Article Type: Article
• Publication Date: May 30, 2009
• Deposit Date: Oct 24, 2012
• Journal: Mathematical Methods in the Applied Sciences
• Print ISSN: 0170-4214
• Electronic ISSN: 1099-1476
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 32
• Issue: 8
• Pages: 914-921
• DOI: https://doi.org/10.1002/mma.1073
• Keywords: double-diffusive convection, energy method, porous media
• Public URL: https://uwe-repository.worktribe.com/output/1003074
• Publisher URL: http://dx.doi.org/10.1002/mma.1073
• Contract Date: Nov 3, 2016