Horizontally isotropic bidispersive thermal convection

Straughan, B.

doi:10.1098/rspa.2018.0018

Horizontally isotropic bidispersive thermal convection

Straughan, B.

Authors

B. Straughan

Abstract

A bidispersive porous material is one which has usual pores but additionally contains a system of micro pores due to cracks or fissures in the solid skeleton. We present general equations for thermal convection in a bidispersive porous medium when the permeabilities, interaction coefficient and thermal conductivity are anisotropic but symmetric tensors. In this case, we show exchange of stabilities holds and fluid movement will commence via stationary convection, and additionally we show the global nonlinear stability threshold is the same as the linear instability one. Attention is then focused on the case where the interaction coefficient and thermal conductivity are isotropic, and the permeability is isotropic in the horizontal directions, although the permeability in the vertical direction is different. The nonlinear stability threshold is calculated in this case and numerical results are presented and discussed in detail.

Citation

Straughan, B. (2018). Horizontally isotropic bidispersive thermal convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2213), Article 20180018. https://doi.org/10.1098/rspa.2018.0018

Journal Article Type	Article
Acceptance Date	Apr 13, 2018
Online Publication Date	May 16, 2018
Publication Date	May 16, 2018
Deposit Date	Jun 5, 2018
Publicly Available Date	Jun 5, 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	474
Issue	2213
Article Number	20180018
DOI	https://doi.org/10.1098/rspa.2018.0018