The combined effects of rotation and anisotropy on double diffusive bi-disperse convection

TL;DR

This paper investigates how rotation and anisotropy influence double-diffusive convection in a porous medium, identifying conditions for stationary and oscillatory convection through linear instability analysis.

Contribution

It introduces a combined analysis of rotation, anisotropy, and bi-disperse porous media effects on double-diffusive convection, providing new insights into stability thresholds.

Findings

Convection can initiate as stationary or oscillatory motions.

Critical Rayleigh numbers for convection onset are determined.

Rotation and anisotropy significantly affect convection stability.

Abstract

In the present paper double-diffusive convection, taking into account Coriolis effects, in a horizontal layer of Brinkman-anisotropic bi-disperse porous medium is analysed. Via linear instability analysis, we found that convection can set in through stationary or oscillatory motions and the critical Rayleigh numbers for the onset of stationary secondary flow (steady convection) and overstability (oscillatory convection) are determined.