Bidispersive thermal convection

Gentile, M.; Straughan, B.

Abstract

We obtain the linear instability and nonlinear stability thresholds for a problem of thermal convection in a bidispersive porous medium with a single temperature. 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. This result contrasts with the general theory of thermal convection in a bidispersive porous material where the temperatures in the macropores and micropores are allowed be different. In that case the coincidence of the stability boundaries has not been proved.

Citation

Gentile, M., & Straughan, B. (2017). Bidispersive thermal convection. International Journal of Heat and Mass Transfer, 114, 837-840. https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.095

• Journal Article Type: Article
• Acceptance Date: Jun 22, 2017
• Online Publication Date: Jul 4, 2017
• Publication Date: Jul 4, 2017
• Deposit Date: Mar 22, 2018
• Publicly Available Date: Jul 4, 2018
• Journal: International Journal of Heat and Mass Transfer
• Print ISSN: 0017-9310
• Electronic ISSN: 1879-2189
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 114
• Pages: 837-840
• DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.095
• Public URL: https://durham-repository.worktribe.com/output/1337105