Double-diffusive Hadley-Prats flow in a porous medium subject to gravitational variation

Matta, Anjanna; Narayana, P. A.L.; Hill, Antony A.

Abstract

© 2015 Elsevier Masson SAS. All rights reserved. A model for double-diffusive porous Hadley-Prats flow under the effect of a variable gravity field is explored. Both linear instability and nonlinear stability analyses are performed to assess the suitability of linear theory to predict the destabilisation of the flow. The resultant eigenvalue problems for both theories are solved using shooting and fourth order Runga-Kutta methods for various flow governing parameters. The results indicate that both the linear and nonlinear results undergo quantitative changes subject to horizontal thermal and solutal gradients along with the presence and absence of gravity and mass flow variations. For certain parameter ranges there are also substantial regions of potential subcritical instability, such that instabilities may arise before the linear stability threshold is reached.

• Journal Article Type: Article
• Acceptance Date: Oct 27, 2015
• Publication Date: Apr 1, 2016
• Deposit Date: Feb 15, 2016
• Journal: International Journal of Thermal Sciences
• Print ISSN: 1290-0729
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 102
• Pages: 300-307
• DOI: https://doi.org/10.1016/j.ijthermalsci.2015.10.034
• Keywords: double diffusive convection, porous medium, gravity effect; mass flow, energy stability analysis
• Public URL: https://uwe-repository.worktribe.com/output/921225
• Publisher URL: http://dx.doi.org/10.1016/j.ijthermalsci.2015.10.034
• Contract Date: Feb 15, 2016