Particle Entrainment in a Bounded Rotating Flow With a Drain

[+] Author and Article Information
J. Mang, U. Schaflinger

Institut für Strömungslehre und Wärmeübertragung, Vienna University of Technology, Vienna, Austria

E. Minkov, M. Ungarish

Department of Computer Science, Israel Institute of Technology, Haifa, Israel

J. Fluids Eng 120(4), 676-679 (Dec 01, 1998) (4 pages) doi:10.1115/1.2820722 History: Received December 01, 1997; Revised July 30, 1998; Online December 04, 2007


A bathtub vortex is usually formed at the axis of a drain. In the presence of such a vortex, gravity separation of solid impurities lighter than the embedding fluid is modified by centrifugal separation and viscous resuspension. Both mechanisms are responsible for the agglomeration of impurities at the axis of the vortex. From there the impurities are easily sucked into the outlet. In the investigated case, a viscous fluid with a given initial rotation is spinning down in a container with endplates both at the bottom and the top. The amount of fluid withdrawn through a circular hole in the center of the vortex is constantly replaced by a radial influx. The resulting time-dependent flow was solved by means of a finite difference method taking into account the influence of Ekman layers at the bottom and the top. Subsequently, the process of centrifugal separation of particles lighter than the embedding fluid was studied in the aforementioned flow field. The results were compared with the particle motion in a classical Oseen vortex. For a simplified case an analytical solution was derived and compared with the corresponding numerical solution. Both results were found to be in good agreement.

Copyright © 1998 by The American Society of Mechanical Engineers
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