Couette flow through an anisotropic porous rotating channel: Brinkman approach

Source abstract

Abstract This paper investigates the steady‐state Couette flow of a viscous, incompressible fluid through a rotating anisotropic porous channel confined between two horizontal plates, where the upper plate moves at a constant velocity. The main goal is to explore the combined effects of rotation and anisotropy on the flow behavior within the channel, which is governed by the Darcy–Brinkman equation and subject to no‐slip boundary conditions. Analytical solutions are derived for both the primary and secondary velocity components, along with the corresponding volumetric flow rates. The novelty of the study lies in examining how anisotropic permeability influences the flow under rotational effects. Key findings show that the primary velocity decreases as the rotation parameter increases, while the secondary velocity increases with rotation. The primary volumetric flow rate decreases with increasing anisotropy in the primary direction but increases with anisotropy in the secondary direction. The secondary volumetric flow rate, however, decreases with both permeability parameters. These effects are further elucidated through graphical and tabulated results, providing comprehensive insight into the flow behavior under various rotational and anisotropic conditions. These findings contribute to a deeper understanding of anisotropic rotational flows and their practical applications in engineering systems involving porous media. The real‐life application of present paper lies in improving the design and analysis of fluid flow systems in rotating machinery, such as turbines, filters, and biomedical devices, where anisotropic porous materials are used.