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Bidispersive thermal convection with relatively large macropores

Gentile, M.; Straughan, B.

Bidispersive thermal convection with relatively large macropores Thumbnail


M. Gentile

B. Straughan


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.


Gentile, M., & Straughan, B. (2020). Bidispersive thermal convection with relatively large macropores. Journal of Fluid Mechanics, 898, Article a14.

Journal Article Type Article
Acceptance Date May 20, 2020
Online Publication Date Jul 3, 2020
Publication Date Sep 10, 2020
Deposit Date Feb 8, 2021
Publicly Available Date Feb 9, 2021
Journal Journal of Fluid Mechanics
Print ISSN 0022-1120
Electronic ISSN 1469-7645
Publisher Cambridge University Press
Peer Reviewed Peer Reviewed
Volume 898
Article Number a14


Published Journal Article (579 Kb)

Publisher Licence URL

Copyright 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.<br /> Copyright<br /> © The Author(s), 2020. Published by Cambridge University Press

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