Offset Rotating Plates Bounding a Fluid-Saturated Porous Medium in a Uniformly Rotating System

Abstract

The steady flow induced between two offset plates rotating at angular velocity $$\Omega $$ bounding a fluid-saturated porous medium in a system uniformly rotating at angular velocity $$\omega $$ is studied. The problem is governed by a Reynolds number R, a porosity parameter $$\gamma $$ , and $$\sigma = \omega /\Omega $$ representing the ratio of Coriolis to inertial forces. Details of the loci of centers of rotation projected onto the mid-plane are found, and sample similarity profiles covering a range of parameters are given in graphical form. A formula is derived to compute spiral angles as a function of $$R,\gamma $$ and $$\sigma $$ .