2024-01-302024-01-302024-01-28Anguiano 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/s00033-023-02169-5.0044-22751420-9039https://hdl.handle.net/11441/154197In 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.application/pdf27 p.engMagneto-micropolar fluidThin fluid filmHomogenizationMagnetic Reynolds numberinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/embargoedAccess10.1007/s00033-023-02169-5