Couette flow of micropolar fluid in a channel filled with anisotropic porous medium

• Autorzy: Verma Vineet Kuma , Ansari Abdul Fai

Identyfikatory

DOI

10.24425/ame.2024.151336

• Języki publikacji: EN

Abstrakty

EN

This paper presents a mathematical model for the flow of micropolar fluid in a horizontal channel filled with an anisotropic porous medium, bounded by two parallel plates—where the upper plate is stationary, and the lower plate moves at a constant velocity. The flow, driven by both a constant pressure gradient and the movement of the lower plate, is governed by the Darcy-Brinkman equation. Using no-slip and no-spin boundary conditions, we analytically derive expressions for the velocity, microrotational velocity, and stress distributions. The study provides a graphical analysis of the flow behavior influenced by key parameters such as the Darcy number, porous medium anisotropy, anisotropy angle, and the micropolar fluid’s material parameters. Furthermore, the effects of the material parameters and Darcy number on shear stress and couple stress are thoroughly investigated. The findings have applications in modeling fluid flow in striated or fractured rock formations.

Słowa kluczowe

EN

Darcy-Brinkman equation; Couette flow; micropolar fluid; anisotropic porous medium; permeability ratio

PL

równanie Darcy'ego-Brinkmana; przepływ Couette'a; płyn mikropolarny; anizotropowe medium porowate; współczynnik przepuszczalności

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2024
• Tom: LXXI, nr 4
• Strony: 581--596
• Opis fizyczny: Bibliogr. 33 poz., wykr.

Twórcy

autor

Verma Vineet Kuma

• Department of Mathematics & Astronomy, University of Lucknow, Lucknow - 226007, India

• https://orcid.org/0000-0001-9580-3807

autor

Ansari Abdul Fai

• Department of Mathematics & Astronomy, University of Lucknow, Lucknow - 226007, India

• https://orcid.org/0000-0001-8373-2722

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025)