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Bidispersive thermal convection with relatively large macropores

Gentile, M. and Straughan, B. (2020) 'Bidispersive thermal convection with relatively large macropores.', Journal of fluid mechanics., 898 . A14.


We derive linear instability and nonlinear stability thresholds for a problem of thermal convection in a bidispersive porous medium with a single temperature when Darcy theory is employed in the micropores whereas Brinkman theory is utilized in the macropores. It is important to note that we show that the linear instability threshold is the same as the nonlinear stability one. This means that the linear theory is capturing completely the physics of the onset of thermal convection. The coincidence of the linear and nonlinear stability boundaries is established under general thermal boundary conditions.

Item Type:Article
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Publisher statement:This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (, which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. Copyright © The Author(s), 2020. Published by Cambridge University Press
Date accepted:20 May 2020
Date deposited:09 February 2021
Date of first online publication:03 July 2020
Date first made open access:09 February 2021

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