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Analytic investigation of a nonlinear problem of the effect of buoyancy on the evolution of an annular vortex

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Abstract

The evolution of a heavy axisymmetric vortex whose density differs from that of the surrounding irrotational ideal fluid is investigated analytically. If the vortex had no buoyancy (i.e., if the densities were identical), it would preserve its shape and velocity. An approximate analytic solution of the problem is obtained. This solution describes two types of evolution of the vortex shape corresponding to different values of the initial velocity and small buoyancy. The spectrum of a nonlinear wave developing on the vortex boundary is estimated.

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Authors
  1. O. A. Gil'man
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  2. I. M. Mindlin
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Additional information

Nizhnii Novgorod. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 56–66, January–February, 1996.

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Gil'man, O.A., Mindlin, I.M. Analytic investigation of a nonlinear problem of the effect of buoyancy on the evolution of an annular vortex. Fluid Dyn 31, 47–56 (1996). https://doi.org/10.1007/BF02230746

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  • DOI: https://doi.org/10.1007/BF02230746

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