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Associated disturbances around a vortex ring in a stratified fluid

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Abstract

A motion of a vortex ring in a stratified fluid is accompanied by associated disturbances which, in the schlieren visualization in the field of a horizontal density gradient, have the shape of a symmetric four-petal configuration. The criterion of the existence of the disturbances is the Froude number Fr based on the motion velocity and the vertical vortex size. On the range Fr > 1, the disturbances are stable with respect to the variation of themotion regime and the distortion of the vortex shape. For Fr < 1 the disturbances disappear. Computer processing of the schlieren photographs showed that the experimental spatial dependences of the disturbance amplitude are close to the functions describing the distribution of the vertical velocity component in the inviscid flow past a sphere.

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Authors
  1. V. E. Prokhorov
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Original Russian Text © V.E. Prokhorov, 2010, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2010, Vol. 45, No. 4, pp. 60–69.

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Prokhorov, V.E. Associated disturbances around a vortex ring in a stratified fluid. Fluid Dyn 45, 566–573 (2010). https://doi.org/10.1134/S001546281004006X

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  • DOI: https://doi.org/10.1134/S001546281004006X

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