Influence of anisotropy on the Jeffrey fluid convection in a horizontal rotary porous layer

Stability analysis of thermal convection for a Jeffrey fluid with rotation in an anisotropic porous medium is examined utilizing a modified Jeffrey–Darcy model. The linear stability theory is applied to examine how the Jeffrey parameter, rotation parameter, and anisotropic parameters affect the convective motion. It is observed that the rotation and the anisotropic in the thermal diffusivity act to delay the start of Jeffery fluid convection, while the Jeffery parameter and the anisotropic in the permeability show a dual effect in the presence of rotation. The extent of the convection cell diminishes with rotation and Jeffery parameters, while it augments with the thermal anisotropy parameter. Also, some previous outcomes are regained as special cases of the current analysis.