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A numerical solution to the flow between eccentric rotating cylinders with a slotted sleeve

Published online by Cambridge University Press:  17 February 2009

L. D. Hird ,
P. F. Siew  and
S. Wang
L. D. Hird
Affiliation:
Curtin University of Technology, GPO Box U1987, Perth, Western Australia 6845
P. F. Siew
Affiliation:
Curtin University of Technology, GPO Box U1987, Perth, Western Australia 6845
S. Wang
Affiliation:
Curtin University of Technology, GPO Box U1987, Perth, Western Australia 6845
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Abstract

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The flow between two eccentric rotating cylinders with a slotted sleeve placed around the inner cylinder is determined numerically using an exponentially fitted finite-volume method. The flow field is determined for various Reynolds numbers, eccentricities and rotational speeds for the cases when the cylinders rotate in the same sense and rotate in opposite senses. The flow field developed when both cylinders rotate in the same sense is characterised, for sufficiently large eccentricity and rotational rate, by two counter-rotating eddies. Only one eddy is observed when the cylinders rotate in opposite senses. The presence of these eddies restricts the flow through the slotted sleeve in the former case but encourages through flow in the latter. For both cases, the eccentricity affects the location of the eddies, while changing the relative rotational rate only affects the eddy location for the case when the cylinders rotate in opposite directions. The change in Reynolds number has little effect on the flow field for the problems considered here. The vorticity generated by the slotted sleeve is convected into the main body of the flow field. No inviscid core within the main body of the flow field is observed for the range of Reynolds number considered.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 1 , July 1999 , pp. 129 - 152
Copyright
Copyright © Australian Mathematical Society 1999

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