Abstract
This is a review and preview of work on Long’s vortex, a well-known exact solution of the Navier-Stokes equations which represents a class of rotationally symmetric swirling jets, and their instabilities. Earlier work is synthesized briefly, and then some new theoretical work on applications of bifurcation theory, and on linear and weakly nonlinear spatial stability, is summarized. This, then, is an account of some strongly nonparallel flows and their strongly nonlinear stability (as well as their linear and weakly nonlinear stability), involving mechanisms of instability entirely different from those of parallel flows.
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© 1994 Springer-Verlag, Berlin Heidelberg
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Drazin, P.G., Banks, W.H.H., Zaturska, M.B. (1994). The Instability of Long’s Vortex. In: Lin, S.P., Phillips, W.R.C., Valentine, D.T. (eds) Nonlinear Instability of Nonparallel Flows. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85084-4_23
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DOI: https://doi.org/10.1007/978-3-642-85084-4_23
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