Abstract:
This paper studies the effect of the vortex fluid motion produced by periodic radial oscillations of a weakly nonspherical gas bubble on the variation in the small initial deviation from the spherical shape of this bubble. It is shown that the most intense vortex motion of the fluid occurs in the boundary layer (near field), and in the far field, the vortex fluid motion rapidly transforms to potential motion. The ranges of problem parameters in which vortex motion in the far field flow does not affect bubble oscillations and the ranges in which accounting for this motion is necessary for a qualitatively correct description of the oscillations are determined.
Keywords:periodic action, stability of spherical bubble shape, deviation, effect of vortex motion, vorticity.