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On the vorticity of a rotating mixture

Published online by Cambridge University Press:  21 April 2006

H. P. Greenspan
H. P. Greenspan
Affiliation:
Massachusetts Institute of Technology, Department of Mathematics, Cambridge, MA 02139, USA
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Abstract

The centrifugal separation of an initially homogeneous mixture of particles and fluid is considered in ‘long’ containers for which end-wall effects are negligible. The vorticity produced in the mixture region during separation is shown to be a function of time only. As a consequence, the ‘full’ nonlinear theory in such containers, of arbitrary cross-section, can be reduced to the determination of an appropriate analytic function. A problem of technological interest is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 191 , June 1988 , pp. 517 - 528
Copyright
© 1988 Cambridge University Press

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References

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