Anisotropic bidispersive convection

Straughan, B.

doi:10.1098/rspa.2019.0206

Anisotropic bidispersive convection

Straughan, B.

Authors

B. Straughan

Abstract

This paper investigates thermal convection in an anisotropic bidisperse porous medium. A bidisperse porous medium is one which possesses the usual pores, but in addition, there are cracks or fissures in the solid skeleton and these give rise to a second porosity known as micro porosity. The novelty of this paper is that the macro permeability and the micro permeability are each diagonal tensors but the three components in the vertical and in the horizontal directions may be distinct in both the macro and micro phases. Thus, there are six independent permeability coefficients. A linear instability analysis is presented and a fully nonlinear stability analysis is inferred. Several Rayleigh number and wavenumber calculations are presented and it is found that novel cell structures are predicted which are not present in the single porosity case.

Citation

Straughan, B. (2019). Anisotropic bidispersive convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2227), Article 20190206. https://doi.org/10.1098/rspa.2019.0206

Journal Article Type	Article
Acceptance Date	Jun 12, 2019
Online Publication Date	Jul 4, 2019
Publication Date	Jul 3, 2019
Deposit Date	Sep 3, 2019
Publicly Available Date	Sep 3, 2019
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	475
Issue	2227
Article Number	20190206
DOI	https://doi.org/10.1098/rspa.2019.0206