Tridispersive thermal convection

Gentile, M.; Straughan, B.

doi:10.1016/j.nonrwa.2018.01.009

Tridispersive thermal convection

Gentile, M.; Straughan, B.

Authors

M. Gentile

B. Straughan

Abstract

We derive the linear instability and nonlinear stability thresholds for a problem of thermal convection in a tridispersive porous medium with a single temperature. Importantly we demonstrate that the nonlinear stability threshold is the same as the linear instability one. The significance of this is that the linear theory is capturing completely the physics of the onset of thermal convection. This result is different to the general theory of thermal convection in a tridispersive porous material where the temperatures in the macropores, mesopores and micropores are allowed to be different. In that case the coincidence of the nonlinear stability and linear instability boundaries has not been proved.

Citation

Gentile, M., & Straughan, B. (2018). Tridispersive thermal convection. Nonlinear Analysis: Real World Applications, 42, 378-386. https://doi.org/10.1016/j.nonrwa.2018.01.009

Journal Article Type	Article
Acceptance Date	Jan 7, 2018
Online Publication Date	Feb 3, 2018
Publication Date	Feb 3, 2018
Deposit Date	Feb 27, 2018
Publicly Available Date	Feb 3, 2019
Journal	Nonlinear Analysis: Real World Applications
Print ISSN	1468-1218
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	42
Pages	378-386
DOI	https://doi.org/10.1016/j.nonrwa.2018.01.009

Files

Accepted Journal Article (128 Kb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/

Copyright Statement
© 2018 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/