https://doi.org/10.1140/epjp/s13360-025-06692-4
Regular Article
Influence of anisotropy in permeability on Couette–Poiseuille flow of micropolar fluid through an annular anisotropic porous medium
Department of Mathematics, National Institute of Technology Raipur, 492010, Raipur, Chhattisgarh, India
a madaspra.maths@nitrr.ac.in, kpm973@gmail.com
Received:
14
October
2024
Accepted:
27
July
2025
Published online:
13
August
2025
In the present work, we have examined the anisotropic effect of permeability on micropolar fluid flow through the annular space between two coaxial cylinders filled with a porous medium. The key anisotropic parameters (permeability ratio and anisotropic angle) are crucial in characterizing the flow in an anisotropic porous medium. The combined action of the applied pressure gradient and the movement of the outer cylinder in an axial direction leads to the development of flow in an annular porous space. In this support, the no-slip boundary conditions at the outer cylinder are assumed. Both velocity and microrotation slip conditions are applied at the inner cylinder, enhancing the practicality and real-world applicability of the study. The graphical representation of velocity, microrotation, and shear stress profiles for variation in permeability ratio, anisotropic angle, Darcy number, micropolar and slip parameters are presented and discussed. The finding shows that velocity and microrotation vectors are strongly affected when the permeability ratio and anisotropic angle vary, and so does the shear distribution. However, the influence of anisotropy decreases as the Darcy number rises. Slip conditions help to enhance velocity and microrotation. The present study’s results have excellent applications in designing artificial nanoporous materials of annular shape, which are used for various industrial purposes, such as in filtration plants, heat storage, and other engineering fields.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
