O.G.Stecenko Unsteady motion of point vortex in a layer of stratified fluid of a finite thickness |
Applied hydromechanics, Vol. 14 (86) ¹ 4, (2012) |
| The linear problem of non-stationary movement of two-dimensional vortex from the state of rest in the layer of stratified medium of finite thickness, a density of wich changes in accordance with exponential law, is solved. A horizontal motion of a vortex with constant velocity from the initial moment of time is studied. The solution is provided in quadrature. The peculiarities of formation of the amplitude pattern of disturbed motion and a change of a power being utilized by the vortex for emitting the energy of the internal waves are analyzed. |
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KEY WORDS: point vortex, stratified medium, quadrature, internal waves |
| TEXT LANGUAGE: Ukrainian |