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

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.

Micropolar Fluid Flows Relative to a Swarm of Spherical Porous Shells

“…El-Sapa analyzes the axisymmetric creeping flow of micropolar fluid past a porous surface saturated with micropolar fluid using an analytical method El-Sapa (2022). Maurya and Deo study the flow of micropolar fluid through a porous cylinder enclosing a solid cylindrical core under an externally applied magnetic field Khanukaeva (2022). Aparna et al consider the uniform flow of a viscous fluid past a spherical ball filled with porous medium saturated by micropolar fluid and observe the effects of porosity and micropolarity parameters on the flow and drag Maurya & Deo (2022).…”

“…Prasad investigates the low Reynolds number flow of an incompressible micropolar fluid past and through a porous sphere and studies the variation of drag force with the permeability parameter Podilay et al (2022). Khanukaeva analyzed the micropolar liquid filtration through spherical cell membranes with porous layers using micropolar and Brinkman-type equations, investigating hydrodynamic permeability based on media characteristics Khanukaeva (2022).…”

Slow flow of micropolar fluid past an immiscible micropolar fluid sphere

“…Recently, Khanukaeva [15] discussed the flow of a micropolar fluid through a spherical cell, consisting of a solid core, porous layer and liquid envelope that is modeled using coupled micropolar and Brinkman-type equations. Yadav et al [16] studied the Poiseuille flow of micropolar-Newtonian fluid through concentric pipes filled with a porous medium.…”

Archive of Mechanical Engineering

“…They obtained the analytical expressions for the drag, the hydrodynamic permeability, and also the Kozeny constant influenced on the sphere. Using the cell technique, Khanukaeva [27] examined the micropolar flow through a spherical cell comprising an impermeable core covered with a porous shield along with a fluid envelope. She allowed different boundary conditions to be applicable at the cell surface and studied its effect on the flow.…”