Sedimentation of a suspension in a centrifugal field

R. M. Lueptow, W. Hübler

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

To model centrifugal sedimentation of biological suspensions, the time history of sedimentation of particles in a centrifugal field was considered for two geometries: a tube and a cylindrical container. The Kynch theory for batch gravitational settling in Cartesian coordinates based on mass conservation was extended to include a centrifugal sedimentation force, cylindrical coordinates, and the Hawksley-Vand hindered settling model. The resulting quasi-linear partial differential equation was solved by the method of characteristics. The combination of radial dependence of the sedimentation force and cylindrical geometry in the centrifugal case results in several differences in the time-position history diagram of the sedimentation process compared to the gravitational case. First, instead of a region of uniform concentration equal to the initial concentration, a region of concentration that is continuously decreasing with time results. Second, in the region of particle accumulation, curved constant concentration contours result instead of straight lines. Finally, a secondary shock that is dependent upon the initial concentration and the radius ratio of the rotating vessel appears in the centrifugal case. The time history of the concentration for a particle suspension with an initial concentration typical of blood is presented.

Original languageEnglish (US)
Pages (from-to)485-491
Number of pages7
JournalJournal of Biomechanical Engineering
Volume113
Issue number4
DOIs
StatePublished - Nov 1991

ASJC Scopus subject areas

  • Biomedical Engineering
  • Physiology (medical)

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