Bidispersive vertical convection

Gentile, M.; Straughan, B.

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
• Public URL: https://durham-repository.worktribe.com/output/1337956