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О нелинейной динамике массивных частиц в смерчах
Author(s) -
Л.Х. Ингель
Publication year - 2020
Publication title -
žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-748X
pISSN - 0044-4642
DOI - 10.21883/jtf.2020.06.49274.359-19
Subject(s) - physics , thermal velocity , mechanics , vortex , classical mechanics , inertial frame of reference , particle (ecology) , nonlinear system , particle velocity , dynamics (music) , relative velocity , flow velocity , flow (mathematics) , oceanography , quantum mechanics , acoustics , geology
The motion of inertial particles in intense vortices with a vertical axis in the field of gravity is analytically studied. In this problem, the nonlinear nature of the hydrodynamic resistance is essential - its dependence on the absolute value of the particle’s velocity relative to the medium. Different components of the movement interact with each other, since each of them affects the coefficient of resistance. An effective method for an approximate solution of the problem is found. A number of general laws of particle dynamics are established. In particular, a regime is characteristic in which their tangential velocity is close to the velocity of the medium, while the radial velocity is much lower (it is close in order of magnitude to the geometric mean tangential velocity of the particle and the difference between the latter and the tangential velocity of the medium).

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