Slow steady rotation of an axially symmetric body in a micropolar fluid

摘要

This paper examines the Stokes' flow due to an axially symmetric body rotating about its axis of symmetry in a micropolar fluid which sustains anti-symmetric stress and couple stress. General solutions are obtained to the coupled differential equations governing such a flow and the special case of a sphere is deduced. Then, with the aid of a concentrated couple, a simple formula for the couple experienced by a body is derived in terms of the angular velocity of the flow field.