Homogenization of a micropolar fluid past a porous media with nonzero spin boundary condition
Francisco J. Suárez‐Grau · Mathematical Methods in the Applied Sciences · 2020
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.