Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Zeitschrift für Angewandte Mathematik und Physik Année : 2024

Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain

Résumé

In this paper we study the asymptotic behavior of the stationary 3D magneto-micropolar fluid flow through a thin domain, whose thickness is given by a parameter 0 < ε <1. Assuming that the magnetic Reynolds number is written in terms of the thickness ε, we prove that there exists a critical magnetic Reynolds number, namely Recm = ε^{ −2} , such that for every magnetic Reynolds number Rem with order smaller or equal than Recm, the magneto-micropolar fluid flow in the thin domain can be modeled asymptotically when ε tends to zero by a 2D Reynolds-like model, whose expression is also given.
Fichier principal
Vignette du fichier
Anguiano_SuarezGrau_HAL.pdf (350.89 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04180744 , version 1 (13-08-2023)
hal-04180744 , version 2 (04-01-2024)

Identifiants

Citer

María Anguiano, Francisco J. Suárez-Grau. Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain. Zeitschrift für Angewandte Mathematik und Physik, 2024, 75 (28), ⟨10.1007/s00033-023-02169-5⟩. ⟨hal-04180744v2⟩
223 Consultations
54 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More