The flow external to a rotating torus

Sophie A W Calabretto, James P. Denier*, Trent W. Mattner

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)


    Imparting a sudden rotation to a torus (or other symmetric smooth object) in an otherwise quiescent, viscous fluid serves to generate boundary layers at the object’s surface. These boundary layers are known to exhibit a finite-time singularity at the equator which manifests in a thickening of the boundary layer and subsequent development of an equatorial jet. Here we consider the post-collision flow dynamics, demonstrating that the equatorial jet serves to shed a finite amplitude toroidal vortex pair. The radial jet is also shown to develop an absolute instability at suitably high Reynolds numbers.

    Original languageEnglish
    Pages (from-to)295-312
    Number of pages18
    JournalTheoretical and Computational Fluid Dynamics
    Issue number4
    Publication statusPublished - 1 Aug 2016


    • Absolute instability
    • Boundary-layer collision
    • Radial jet
    • Rotating flow
    • Toroidal vortex


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