Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-24T22:44:08.609Z Has data issue: false hasContentIssue false
  • English
  • Français

Waves at the interface between a clear liquid and a mixture in a two-phase flow

Published online by Cambridge University Press:  20 April 2006

Phoolan Prasad
Phoolan Prasad
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore-560012. India
Get access Rights & Permissions [Opens in a new window]

Abstract

In the two-dimensional sedimentation process beneath an inclined wall, the mixture of the participate and liquid phases is separated from the wall by a boundary layer of the clear liquid. This paper contains a simple mathematical model giving waves on the interface between the clear liquid and the mixture. These waves are caused by a discontinuity in the gradient of the tangential velocity of the clear liquid, across the interface. In the limiting case of small concentration of the particulate phase in the mixture, the model gives a dispersive wave running upward along the interface in the direction of the flow in the boundary layer. The effect of finite concentration is to introduce a damping.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 150 , January 1985 , pp. 417 - 426
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

Davis R. H., Herbolzheimer, E. & Acrivos A.1983 Wave formation and growth during sedimentation in narrow tilted channels. Phys. Fluids 26, 2055–2064.Google Scholar
Herbolzheimer E.1983 Stability of the flow during sedimentation in inclined channels. Phys. Fluids 26, 2043–2054.Google Scholar
Kynch G. J.1952 A theory of sedimentation. Trans. Faraday Soc. 48, 166–176.Google Scholar
Saric, W. S. & Nayfeh A. H.1975 Phys. Fluids 18, 945–950.
Schaflinger U.1983 Experimentelle und theoretische Untersuchungen zur Sedimentation in Behältern mit geneigten Wänden. Ph.D. thesis, T. U. Wien.
Schneider W.1982 Kinematic-wave theory of sedimentation beneath inclined walls. J. Fluid Mech. 120. 323–346.Google Scholar
Wallis G. B.1969 One-dimensional Two-Phase Flows. McGraw-Hill.