arXiv subjects

D. Yu. Khanukaeva

Publications and source records attributed to D. Yu. Khanukaeva.

3 recordsLinked to original sources

arXiv2019

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

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.

physics.flu-dyn↗

arXiv2019

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

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.

physics.flu-dyn↗

arXiv2018

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

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.

physics.flu-dyn↗