Unsteady flows of micropolar fluids parallel to the axis of an annular domain with a porous layer

Abstract

Transient flows of micropolar fluids through circular domains are investigated. The flow domain has two annular regions. The outer region is clean, while the inner region contains a porous medium. The analytical solutions in closed forms for the linear and angular velocities in both regions are determined using the Laplace transform and finite Hankel integral transform under the assumptions of the continuity of the velocities, stresses, and couple stresses on the interface. The obtained solutions are new in the literature and can generate solutions for some particular cases of filtration processes involving polymeric fluids with additives or other fluids that show similarities to micropolar fluids. Effects of various parameters on the fluid motion have been investigated by numerical simulations and graphical illustrations.

Keywords

• Unsteady flows
• Micropolar fluids
• Annular porous layer
• Integral transforms