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On the flow of a rotating mixture in a sectioned cylinder

Published online by Cambridge University Press:  21 April 2006

A. A. Dahlkild  and
H. P. Greenspan
A. A. Dahlkild
Affiliation:
Royal Institute of Technology, Department of Hydromechanics, 100 44 Stockholm, Sweden
H. P. Greenspan
Affiliation:
Massachusetts Institute of Technology, Department of Mathematics, Cambridge, MA 02139, USA
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Abstract

We consider the centrifugal separation of an initially homogeneous mixture in an asymmetric geometry. The mixture is shown to acquire a uniform and negative relative vorticity, manifested as a retrograde circulation, as the heavier phase is forced outwards by the centrifugal acceleration. The perturbation theory formulated accounts for inertial effects and endwall boundary layers as well as slight deviations of endwall shape from a level plane. The time-dependent separation process is described and the flow field, including kinematic shocks, is calculated in some cases of technological interest.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 198 , January 1989 , pp. 155 - 175
Copyright
1989 Cambridge University Press

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