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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
