Creeping flow of micropolar fluid through a swarm of cylindrical cells with porous layer (membrane)

TL;DR

This paper analytically investigates how micropolar fluid flows through a membrane modeled as a swarm of cylindrical cells with porous layers, analyzing the effects of various parameters on membrane permeability.

Contribution

It introduces an analytical solution for micropolar fluid flow through a porous cylindrical cell model, considering boundary conditions and parameter influences.

Findings

Micropolar and porous parameters significantly affect membrane permeability.

Analytical solutions provide insights into flow behavior in complex membrane structures.

Flow characteristics depend on boundary conditions and cell geometry.

Abstract

The flow of micropolar fluid through a membrane modeled as a swarm of solid cylindrical particles with porous layer using the cell model technique is considered. The flow is directed perpendicular to the axis of the cylinders. Boundary value problem involves traditional conditions of velocities and stresses continuity, no-stress and no-couple stress / no-spin condition on hypothetical cell surface. The problem was solved analytically. The influence of micropolar and porous medium parameters on hydrodynamic permeability of a membrane has been studied.