Abstract
In hydraulic and naval engineering, cavitation is often associated with intense vortical structures. In this paper, we discuss developments associated with solid spheres and bubbles near a tip-vortex and a ring vortex. The first part of the paper reviews the mathematical and numerical development of vortex filament methods and representation of solid spheres and bubbles. Equations of motion are based on the Biot–Savart law and the Kelvin impulse. The classic studies of the motion of a sphere towards and parallel to the vortex axis is extended to consider bubble motion in the presence of a line vortex. The second study is concerned with bubble–vortex ring interaction for both small and large bubble examples. The multipole approach used in this paper compares favourably with the numerical experimental studies of Chahine (1995), ‘Bubble interactions with vortices’, in Fluid Vortices, Kluwer Academic Press, for the prediction of bubble shapes.
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