The non-uniform rotation of a non-newtonian liquid filled in between two coaxial cylinders of infinite length

Abstract

The non-uniform rotation of a non-Newtonian, incompressible liquid contained between two co-axial cylinders of infinite length is considered. Initially, the outer cylinder is rotating with constant angular velocity. When the inner cylinder is at rest, the liquid is supposed to be on steady motion but, when it is given an impulsive twist, it also begins to rotate with a constant angular velocity and the motion of the liquid becomes unsteady. The various states of motion of the liquid are discussed.