Abstract

A moment theory of vortex turbulence, including equations of conservation of mass, momentum, and angular momentum and moment of inertia of rotating, elliptic, mesoscale vortices filling a turbulent flow is developed. The vortices give rise to mixing in addition to shear mixing; this additional mixing is described by an antisymmetric part of the Reynolds tensor of turbulent stresses. The specific solutions of the equations of the theory are obtained for gradient-drift flows in channels and cooling ponds of nuclear power plants. It is shown that the computational results obtained using the formulas agree with measurements of flows in the feed and drainage channels of the Kursk nuclear power plant and laboratory experiments in rectangular and ring-shaped hydrochannels with blowing wind.

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