The instability behaviors and mechanisms of fluid flows through rotating porous media have substantial relevance to geophysical phenomena, as well as find applications in petroleum extraction, biomedical systems, and chemical and food processing technologies. The presence of the magnetohydrodynamic effect can significantly control the Coriolis force-based instability in the rotating channel flows. This study aims to investigate the combined impact of spanwise system rotation and an applied electromagnetic field on the temporal stability of a fluid flow via an anisotropic porous material inside a rectangular channel. The Darcy–Brinkman momentum equations, including Coriolis and Lorentz force-based terms, are considered to capture the role of rotational and magnetic forces on the dynamics of porous media flow. The instability control parameters are the rotation number, Hartmann number, and anisotropic permeability. A normal mode analysis is applied on the linearized perturbed flow equations to obtain an Orr–Sommerfeld–Squire type boundary value problem, which is numerically solved using the Chebyshev spectral collocation method. The acquired results indicate stabilization with a decreasing anisotropic permeability ratio. Depending on the permeability ratio, the anisotropic angle can advance or retreat the flow stability. In addition, the Hartmann number has shown a stabilizing role by delaying the onset of instability. The critical parameters that destabilize the flow are estimated, which can help to build an effective mixing–separation strategy.
Saha et al. (Thu,) studied this question.