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Exchange of stability in Cattaneo–LTNE porous convection.

Straughan, B. (2015) 'Exchange of stability in Cattaneo–LTNE porous convection.', International journal of heat and mass transfer., 89 . pp. 792-798.


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.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Publisher statement:© 2015 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:19 May 2015
Date deposited:06 December 2018
Date of first online publication:14 June 2015
Date first made open access:No date available

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