# Effects of Centrebody Rotation on Laminar Flow Through an Eccentric Annulus

## Abstract

The work discussed here is part of a programme of research, motivated by drilling hydraulics, in which the annular flow of both Newtonian and non-Newtonian liquids is being investigated. The present results are limited to fully developed laminar flow of a Newtonian liquid in an eccentric annulus with a) an imposed bulk flow without centrebody rotation (axial velocity profiles), b) centrebody rotation with zero bulk flow (tangential velocity profiles) and c) combined bulk flow and centrebody rotation (axial and tangential velocity profiles). In the absence of an imposed bulk flow, the critical Taylor number at which Taylor vortices appeared in the eccentric annulus geometry was determined by monitoring the onset of an axial velocity in the widest sector of the annulus. Detailed measurements are restricted to sub-critical Taylor numbers. The measured velocity profiles are in excellent agreement with available theory.

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