Hidden Dynamical Variables in Rotational Flow of Barotropic Fluidстатья
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Дата последнего поиска статьи во внешних источниках: 6 декабря 2018 г.
Аннотация:Inviscid barotropic fluid is investigated as a dynamical system by means of variational methods. Conventional description in terms of variables: (density rho(0), velocity v, and labelling of stream lines xi) appears to be ineffective for vortical flows, because dynamic equations for xi contain idefinite parameter. It is possible complete description of barotropic fluid in terms of complex wave function psi(alpha), alpha = 1, 2. At returning to description in terms of rho(0), v an additional dynamic variables: spin s = (s(1), s(2) , s(3)) appear. Spin describes additional vorticity incorporated into fluid. Appearance of additional variable s (instead of xi) is essential at description of turbulent phenomena.