The effects of Vadasz term, anisotropy and rotation on bi-disperse convection

TL;DR

This paper investigates how the Vadasz term, anisotropy, and rotation influence the onset of thermal convection in a bi-disperse porous medium, revealing that the Vadasz term induces oscillatory convection without affecting stationary convection.

Contribution

It provides a linear instability analysis showing the specific role of the Vadasz term in convection onset in rotating, anisotropic bi-disperse porous media.

Findings

Vadasz term induces oscillatory convection onset.

Vadasz term does not affect stationary convection.

Rotation and anisotropy influence convection patterns.

Abstract

The onset of thermal convection in a uniformly rotating and horizontally isotropic bi-disperse porous medium, taking into account the Vadasz term, is investigated. Via linear instability analysis, it has been proven that the Vadasz term allows the onset of convection via an oscillatory state but does not affect convection via a stationary motion.