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O.G.Stetsenko An unsteady motion of the point vortex in a two-layer liquid |
Applied hydromechanics, Vol. 14 (86) ¹ 2, (2012) |
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The paper deals with solving of a linear problem on an unsteady motion of a
two-dimensional vortex from the state of the rest in the two-layer deep
medium at the finite thickness of the upper layer. The solution is obtained
by quadratures. The peculiarities of forming of the amplitude field of
disturbances at the interface between the layers and change of the power
utilized by the vortex for emitting of their energy are analyzed on the
example of two regimes. The first one is the uniform horizontal motion and
the second one is the similar motion with superimposed steady periodic
transversal motion.
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KEY WORDS: non-stationary movement, vortex, quadrature, interface |
| TEXT LANGUAGE: Ukrainian |