The motion of a prolate ellipsoid in a rotating Stokes flow

J. R T Seddon, T. Mullin

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Results are presented from experimental investigations into the motion of a heavy ellipsoid in a horizontal rotating cylinder, which has been completely filled with highly viscous fluid. The motion can be conveniently classified using the ratio between the maximum radius of curvature of the ellipsoid max and the radius of the drum Rd. If Kmax Rd the ellipsoid must tilt in order to maintain the maximum surface area in close proximity to the wall. Once tilted, a component of the viscous drag acts to laterally translate the ellipsoid from end to end of the drum. The ellipsoid with Kmax = Rd adopts a series of fixed positions for most drum rotational rates but, between two regions of fixed-point behaviour, it undergoes a transition to oscillatory motion. © 2007 Cambridge University Press.
    Original languageEnglish
    Pages (from-to)123-132
    Number of pages9
    JournalJournal of Fluid Mechanics
    Volume583
    DOIs
    Publication statusPublished - 2007

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