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Studies on the motion and decay of a vortex filament

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Advances in Fluid Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 148))

Abstract

A review of asymptotic analyses for the study of the motion and decay of a vortex filament submerged in a background potential flow is presented. Emphasis is placed on physical intuitions motivating the analyses and on the physical interpretation of the asymptotic solutions. The extension of the analyses to a vortex filament submerged in a rotational flow is outlined.

The asymptotic analyses identify various canonical problems which require numerical solutions of the Navier-Stokes equations. These numerical studies in turn initiate new theoretical analyses.

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Egon Krause

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© 1981 Springer-Verlag

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Ting, L. (1981). Studies on the motion and decay of a vortex filament. In: Krause, E. (eds) Advances in Fluid Mechanics. Lecture Notes in Physics, vol 148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021334

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  • DOI: https://doi.org/10.1007/BFb0021334

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11162-7

  • Online ISBN: 978-3-540-38635-3

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