An exact solution for the unsteady flow of a micropolar fluid due to eccentrically rotating disks

Abstract

A class of exact solutions is ohtained for the unsteady flow of a micropoiar fluid confined between two non- coaxially rotating parallel disks which are subjected to elliptic harmonic oscillations. These infinite one-parameter family of solutions reduce to a single unique solution when one prescribes the pressure gradient similar to a Poiseuille flow. The expressions for the component of forces and couples acting on the plate are obtained.