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A line vortex in a two-fluid system
journal contribution
posted on 2023-05-17, 15:58 authored by Lawrence ForbesLawrence Forbes, Jason CosgroveJason CosgroveThis paper considers the classical problem of a line vortex in planar flow of a fluid. However, an interface is present at some finite radius from the line vortex, and beyond that is a second fluid of different density. The interface is therefore subject to shearing-type instabilities and may overturn as time progresses. A linearized inviscid theory is developed and reveals unstable behaviours, dependent on the parameters in the system. The non-linear inviscid problem is solved by a spectral method, and high-frequency modes are regularized by a type of filtering. In addition, a Boussinesq viscous model is presented and allows the overturning interface to fold. Results are discussed and compared with the predictions of the inviscid theory.
History
Publication title
Journal of Engineering MathematicsVolume
84Pagination
181-199ISSN
0022-0833Department/School
School of Natural SciencesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRights statement
Copyright 2013 Springer Science+Business Media DordrechtRepository Status
- Restricted