Spin-up of homogeneous and stratified fluids

P. W. Duck, M. R. Foster

    Research output: Contribution to journalArticlepeer-review


    We consider the manner in which a container filled with viscous fluid adjusts to changes in its rotation rate. We begin with homogeneous flows involving small departures in rotation rate from an initial state of solid-body rotation in an axisymmetric container. This is followed by a summary of other more recent developments, including weakly and fully nonlinear calculations and comparison with experiment and the question of spin-down. The question of "spin-over" is addressed, followed by a brief synopsis of free-surface effects, and a discussion of nonaxisymmetric spin-up. The second part of the review focuses on the effects of stratification on the spin-up process. Linearized (low Rossby number) spin-up within a cylindrical container is described. Thereafter, both experimental and nonlinear computational results are described and compared. The final section focuses on stratified spin-up and spin-down in conical geometries, and a number of comparisons between theory and experiment are given. Copyright © 2001 by annual reviews. All rights reserved.
    Original languageEnglish
    Pages (from-to)231-263
    Number of pages32
    JournalAnnual Review of Fluid Mechanics
    Publication statusPublished - 2001


    • Conical flows
    • Rotating flows
    • Spin-down
    • Spin-over


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