Spin-up of homogeneous and stratified fluids

Duck, P. and Foster, M.R. (2001) Spin-up of homogeneous and stratified fluids. Annual Review of Fluid Mechanics, 33. pp. 231-263. ISSN 0066-4189

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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.

Item Type: Article
Additional Information: Posted, with permission, from the Annual Review of Fluid Mechanics, Volume 33 © 2001 by Annual Reviews, www.annualreviews.org
Uncontrolled Keywords: rotating flows, spin-down, spin-over, conical flows
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 70 Mechanics of particles and systems
Depositing User: Ms Lucy van Russelt
Date Deposited: 08 Aug 2006
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/454

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