By assuming that the solid and fluid mediums have different thermal state, a linearized stability analysis is conducted to examine the stability of convection induced motion of fluid particles in a couple-stress fluid-enclosed in porous layer which is made to revolve around vertical axis. As a result, two independent equations are used, one to describe solid medium and the other fluid medium, rather than taking into account a single energy equation. It is possible to obtain an explicit relationship between the Rayleigh number and the horizontal wave number. The effect of rotations and couple-stress on the stability status of couple-stress fluid embedded in a rotating porous layer is investigated. Both the couple-stress parameter and the Taylor number improve the system’s convectional stability. In limiting cases, some known results corresponding to thermal non-equilibrium couple-stress non-rotating porous layer are also recovered.

convection, non-equilibrium, couple-stress, rotation, porous layer.

Received: October 9, 2022; Accepted: November 28, 2022; Published: December 15, 2022

How to cite this article: Sridhar, Stability of non-equilibrium convection in a couple-stress fluid embedded in a rotating porous layer, Advances and Applications in Fluid Mechanics 30(1) (2023), 1-16. http://dx.doi.org/10.17654/0973468623001

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License 

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