Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-20T21:50:44.305Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Acrivos, A. & Herbolzheimer, E. 1979 Enhanced sedimentation in settling tanks with inclined walls. J. Fluid Mech. 92, 435–457.Google Scholar
Dahlkild, A. & Greenspan, H. P. 1987 Vorticity dynamics and centrifugal separation. Submitted for publication.
Greenspan, H. P. 1983 On centrifugal separation of a mixture. J. Fluid Mech. 127, 91–101.Google Scholar
Greenspan, H. P. & Ungarish, M. 1985 On the centrifugal separation of a bulk mixture. Intl J. Multiphase Flow 11, 825–835.Google Scholar
Ishii, M. & Chawla, T. C. 1979 Local drag laws in dispersed two-phase flow. Argonne Natl Lab. ANL-79-105.
Kynch, G. J. 1952 A theory of sedimentation. Trans. Faraday Soc. 48, 166–176.Google Scholar
Schaflinger, U., Köppl, A. & Filipczak, G. 1986 Sedimentation in cylindrical centrifuges with compartments. Ing.-Arch. 56, 321–331.Google Scholar
Schneider, W. 1982 Kinematic-wave theory of sedimentation beneath inclined walls. J. Fluid Mech. 120, 323–346.Google Scholar