STRUCTURAL STABILITY OF MICROPOLAR FLUID FLOW IN A CURVED PIPE WITH DARCY– LAPWOOD–FORCHHEIMER–BRINKMAN MODEL

A. Prabal†, M. Devakar‡

Abstract: In this article, we address the structural stability of the Darcy–Lapwood–Forchheimer–Brinkman model for a micropolar fluid flowing through a curved pipe. A rigorous analysis is carried out to prove the continuous dependence of solutions of the model on several physical and geometric parameters such as the Reynolds number, curvature ratio, Forchheimer coefficient, and micropolarity parameter.

Keywords: Darcy–Lapwood–Forchheimer–Brinkman model, micropolar fluid, curved pipe, structural stability, continuous dependence.

MSC: 35Q35, 76A05, 76S05, 35B30.

DOI 10.56082/annalsarscimath.2026.4.385

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*Accepted for publication on October 20, 2026
†ds20mth001@students.vnit.ac.in, Department of Mathematics, Visvesvaraya National Institute of Technology Nagpur, 440010 India
‡m_devakar@mth.vnit.ac.in, Department of Mathematics, Visvesvaraya National Institute of Technology Nagpur, 440010 India

PUBLISHED in

Annals Academy of Romanian Scientists Series on Mathematics and Its Application,

Volume 18 no 4, 2026

ISSN ONLINE 2066 – 6594
ISSN PRINT 2066 – 5997