A new approach to studying the dynamics of a thin curved vortex
A. I. Gudimenko
Pacific Oceanologic Institute, Far East Division, Russian Academy of Sciences, Vladivostok 690041
Abstract
The paper studies the dynamics of a thin
curved vortex in a potential flow of an
ideal incompressible fluid. The flow is
specified by a number of geometrical
restrictions and does not satisfy the
Biot-Savart law. The form of the derived
equation of the vortex dynamics
coincides with the form of the well-
known equation of local induction for
self-induced vortex motion. The
parameters of the new equation are
simultaneously flow parameters, and in
this sense, they do not show uncertainty
typical of classical equations. The
coefficient of the new equation can take
any specified values not necessarily
much greater than unity, as required
according to the concept of local
induction)and generally is a function of
a natural filament parameter.
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