Article
Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain
Author/s | Anguiano Moreno, María
Suárez Grau, Francisco Javier |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2024-01-28 |
Deposit Date | 2024-01-30 |
Published in |
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Abstract | 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
. Assuming that the magnetic Reynolds number is written ... 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 . Assuming that the magnetic Reynolds number is written in terms of the thickness , we prove that there exists a critical magnetic Reynolds number, namely , such that for every magnetic Reynolds number with order smaller or equal than , the magneto-micropolar fluid flow in the thin domain can be modeled asymptotically when tends to zero by a 2D Reynolds-like model, whose expression is also given. |
Citation | Anguiano Moreno, M. y Suárez Grau, F.J. (2024). Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain. Zeitschrift für angewandte Mathematik und Physik, 78, 28-1. https://doi.org/10.1007/s00033-023-02169-5. |
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