Formalism for Determining the Force and Torque on a Sphere Moving in a Quiescent Fluid at Arbitrary Reynolds Numbers

Abstract

There are formalisms available in the literature for determining the force and torque on a particle moving in a fluid at zero and low Reynolds numbers. The formalism for determining the force and torque on a particle in a fluid at arbitrary Reynolds numbers has only recently been developed, Magnaudet [. This paper focuses on developing a formalism for the special case of a sphere moving in a quiescent fluid at arbitrary Reynolds numbers using the formalism of Magnaudet.