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Journal of Applied Mechanics and Technical Physics

2019 year, number 5

To the Theory of Barotropic Geostrophic Flows

A. A. Zaitsev, A. I. Rudenko
Kaliningrad State Technical University, Kaliningrad, 236035, Russia
Keywords: стационарные баротропные геострофические течения, вихрь, циклон, антициклон, радиальная и тангенциальная составляющие скорости частиц жидкости, распределение давления, функция тока, точечные вихри, stationary barotropic geostrophic flows, vortex, cyclone, anticyclone, radial and tangential components of the fluid particle velocity, pressure distribution, current function, point vortices

Abstract

Barotropic geostrophic flows are investigated using rectangular and polar coordinate systems. It is shown that, for the analysis of geostrophic flows with radial symmetry, the use of a polar coordinate system is preferable. Relations between the hydrodynamic characteristics, including the expressions of the fluid particle velocity components and vorticity through pressure, are obtained. It is established that, in the case of stationary barotropic flows, isobaths coincide with current lines. Stationary radially symmetric geostrophic flows are considered.