Bidispersive thermal convection with relatively large macropores

Gentile, M.; Straughan, B.

Abstract

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.

Citation

Gentile, M., & Straughan, B. (2020). Bidispersive thermal convection with relatively large macropores. Journal of Fluid Mechanics, 898, Article a14. https://doi.org/10.1017/jfm.2020.411

• 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
• DOI: https://doi.org/10.1017/jfm.2020.411