Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-20T05:21:04.916Z Has data issue: false hasContentIssue false
  • English
  • Français

On the enhancement of centrifugal separation

Published online by Cambridge University Press:  20 April 2006

H. P. Greenspan  and
M. Ungarish
H. P. Greenspan
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
M. Ungarish
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider the two-phase flow of a suspension in a rotating cylinder with inclined endplates for which inertial and viscous effects are small. It is shown that, when the Coriolis force is dominant, flow in the core is essentially unaffected by geometry. If a fluid particle can make a complete circuit about the rotation axis, the sedimentation velocity cannot be augmented by geometrical effects as it can in gravitational settling. However, with the insertion of a complete meridional barrier to block movement around the centre, separation becomes more sensitive to the shape of the container walls. In this case, behaviour similar to that in a gravitational field is possible once again.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 157 , August 1985 , pp. 359 - 373
Copyright
© 1985 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
Bark, F. H. & Johansson A. V.1982 On a class of rotating viscous flows occurring in separation technology. Dept Maths R. Inst. Tech., Sweden.Google Scholar
Greenspan H. P.1983 On centrifugal separation of a mixture. J. Fluid Mech. 127, 91–101.Google Scholar
Herron I. D., Davis, H. & Bretherton F. P.1975 On the sedimentation of a sphere in a centrifuge. J. Fluid Mech. 68, 209–234.Google Scholar
Hill W. D., Rothfus, R. R. & Kun L.1977 Boundary enhanced sedimentation due to settling convection. Intl J. Multiphase Flow 3, 561–583.Google Scholar
Ishii, M. & Chawla T. C.1979 Local drag laws in dispersed two-phase flow. Argonne Natl Lab. ANL-79-105.Google Scholar
Karanfilian, S. K. & Kotas T. J.1981 Motion of a spherical particle in a liquid rotating as a solid body Proc. R. Soc. Lond. A 376, 525–544.Google Scholar
Probstein R. F., Yung, D. & Hicks R. E.1977 A model for lamellar settlers. Theory, Particle and Process Principles for Physical Separations, Engng Found, N.Y. 1981.Google Scholar
Schneider W.1982 Kinematic-wave theory of sedimentation beneath inclined walls. J. Fluid Mech. 120, 323–346.Google Scholar
Ungarish, M. & Greenspan H. P.1983 On the two-phase flow in a rotating boundary layer. Stud. Appl. Maths 69, 145–175.Google Scholar
Ungarish, M. & Greenspan H. P.1984 On centrifugal separation of particles of two different sizes. Intl J. Multiphase Flow 10, 134–148.Google Scholar