Exchange of stability in Cattaneo–LTNE porous convection

Straughan, B.

Abstract

We investigate a problem of convection in local thermal non-equilibrium (LTNE) porous media. This is where the solid skeleton and the fluid may have different temperatures. However, due to increasing interest in thermal wave motion, especially at micro–nano-scales and particularly in solids, we analyse a model for thermal convection in a fluid saturated Darcy porous medium allowing the solid and fluid parts to be at different temperatures. This theory employs thermodynamics for the fluid based on Fourier’s law of heat conduction, whereas for the solid skeleton heat is transferred by means of the Cattaneo heat flux theory. Under appropriate conditions oscillatory convection is found whereas for the standard LTNE Darcy model this does not exist. In this article we concentrate on a transition which is found when the heat transfer interaction coefficient reaches a critical level and this leads to an exchange of stability for a certain porosity level.

Citation

Straughan, B. (2015). Exchange of stability in Cattaneo–LTNE porous convection. International Journal of Heat and Mass Transfer, 89, 792-798. https://doi.org/10.1016/j.ijheatmasstransfer.2015.05.084

• Journal Article Type: Article
• Acceptance Date: May 19, 2015
• Online Publication Date: Jun 14, 2015
• Publication Date: Jun 14, 2015
• Deposit Date: Dec 6, 2018
• Publicly Available Date: Dec 6, 2018
• Journal: International Journal of Heat and Mass Transfer
• Print ISSN: 0017-9310
• Electronic ISSN: 1879-2189
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 89
• Pages: 792-798
• DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2015.05.084
• Public URL: https://durham-repository.worktribe.com/output/1307253