Filtration of micropolar liquid through a membrane composed of spherical cells with porous layer

TL;DR

This study models the flow of micropolar fluid through spherical cell membranes with porous layers using analytical solutions, exploring how membrane properties influence permeability.

Contribution

It introduces an analytical model for micropolar fluid flow through spherical membranes with porous layers, considering various boundary conditions.

Findings

Hydrodynamic permeability depends on micropolar and porous medium properties.

Analytical solutions for flow equations are derived.

Different boundary conditions significantly affect flow behavior.

Abstract

This paper considers membranes of globular structure in the framework of the cell model technique. Coupled micropolar and Brinkman-type equations are used to model the flow of micropolar fluid through a spherical cell, consisting of solid core, porous layer and liquid envelope. The solution is obtained in analytical form. Boundary value problems with different conditions on hypothetical cell surface are considered and compared. The hydrodynamic permeability of a membrane is investigated as a function of micropolar and porous medium characteristics.