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Homogenization of a micropolar fluid past a porous media with nonzero spin boundary condition
Author(s) -
SuárezGrau Francisco J.
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7072
Subject(s) - homogenization (climate) , uniqueness , mathematics , porous medium , mathematical analysis , boundary value problem , spin up , mechanics , porosity , physics , materials science , biodiversity , ecology , computer science , composite material , biology , operating system
We consider a micropolar fluid flow in a media perforated by periodically distributed obstacles of size ε . A nonhomogeneous boundary condition for microrotation is considered: The microrotation is assumed to be proportional to the rotation rate of the velocity on the boundary of the obstacles. The existence and uniqueness of solution are analyzed. Moreover, passing to the limit when ε tends to zero, an analog of the classical micropolar Darcy's law in the theory of porous media is derived.