Quasi-linear homogenization for large-inertia laminar transport across permeable membranes.

The article explores the development of a predictive macroscopic model for fluid flow across permeable membranes with non-negligible inertia using homogenization theory. It compares constant and variable advection closure approaches to solve microscopic problems and obtain average hydrodynamic tensor components, revealing that inertia decreases permeability. The study offers insights into the impact of inertia on fluid flow and proposes a clustered variable advection closure approach for efficient and accurate modeling in industrial applications. The research highlights the importance of considering inertia in computational modeling of laminar transport across permeable membranes, showing improved accuracy and potential applications in microfluidic circuits and filtration systems. [Extracted from the article]