Creeping flow of micropolar fluid parallel to the axis of cylindrical cells with porous layer

TL;DR

This paper analytically investigates the creeping flow of micropolar fluid through a membrane modeled as cylindrical cells with porous layers, analyzing how various parameters affect hydrodynamic permeability.

Contribution

It introduces a new analytical model for micropolar fluid flow through porous cylindrical cell membranes, incorporating no spin boundary conditions.

Findings

Hydrodynamic permeability depends on particle volume fraction and permeability.

Micropolarity number significantly influences flow behavior.

Analytical expressions for velocity and microrotation are derived.

Abstract

The present paper considers the flow of micropolar fluid through a membrane modeled as a swarm of solid cylindrical particles with porous layer using the cell model technique. Traditional boundary conditions on hypothetical cell surface were added with an additional condition: the no spin condition / no couple stress condition. Expressions for velocity and microrotation vector components have been obtained analytically. Effect of various parameters such as particle volume fraction, permeability parameter, micropolarity number etc. on hydrodynamic permeability of membrane has been discussed.