Evaluation of Secondary Flow Between Rotating Concentric Spheres Using a Perturbation Method

Abstract

A new approach to evaluate the Newtonian flow between concentric rotating spheres is introduced in this paper. A general analytic solution to the problem is deduced using a perturbation method that takes into account the primary and secondary flows produced between the spheres. In order to exemplify the results of the previous analysis, six particular cases were studied. The results show that under certain circumstances the secondary flow is no negligible, as is usually considered, but it is comparable to the value of the primary one.