Abstract
AbstractIn this paper we study stationary incompressible Newtonian fluid flow in a thin porous media. The media under consideration is a bounded perforated 3D domain confined between two parallel plates. The description of the domain includes two small parameters: ε representing the distance between plates and connected to the microstructure of the domain such that . We consider the classical setting of perforated media, i.e. ‐periodically distributed solid (not connected) obstacles of size . The goal of this paper is to introduce a version of the unfolding method, depending on both parameters ε and , and then to derive the corresponding 2D Darcy law.
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