Transport in Porous Media

, Volume 112, Issue 1, pp 253–264

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

• Patrick D. Weidman
Article

## 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 $$\sigma$$.

## Keywords

Offset plate rotation Porous medium Brinkman equation Rotating frame of reference

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## Authors and Affiliations

1. 1.Department of Mechanical EngineeringUniversity of ColoradoBoulderUSA