Bidispersive vertical convection

Gentile, M.; Straughan, B.

doi:10.1098/rspa.2017.0481

Bidispersive vertical convection

Gentile, M.; Straughan, B.

Authors

M. Gentile

B. Straughan

Abstract

A bidispersive porous material is one which has usual pores but additionally contains a system of micro pores. We consider a fluid-saturated bidispersive porous medium in the vertical layer x ∈ (−1/2, 1/2) with gravity in the −z (downward) direction. The walls of the layer are maintained at different constant temperatures. A suitable Rayleigh number is defined and we derive a global stability threshold below which no instability may arise. We additionally show that the porous layer is stable for all Rayleigh numbers provided the initial temperature gradient is bounded in a precise sense.

Citation

Gentile, M., & Straughan, B. (2017). Bidispersive vertical convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2207), Article 20170481. https://doi.org/10.1098/rspa.2017.0481

Journal Article Type	Article
Acceptance Date	Sep 29, 2017
Online Publication Date	Nov 1, 2017
Publication Date	Nov 1, 2017
Deposit Date	Mar 7, 2018
Publicly Available Date	Mar 7, 2018
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Print ISSN	1364-5021
Electronic ISSN	1471-2946
Publisher	The Royal Society
Peer Reviewed	Peer Reviewed
Volume	473
Issue	2207
Article Number	20170481
DOI	https://doi.org/10.1098/rspa.2017.0481