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Updated: Jun 14, 2026

High-speed Particle Image Velocimetry Near Surfaces
Published on: June 24, 2013
Universal velocity profile for coherent vortices in two-dimensional turbulence
M Chertkov1, I Kolokolov, V Lebedev
1Center for Nonlinear Studies & Theoretical Division, LANL, Los Alamos, New Mexico 87545, USA.
Abstract:
Two-dimensional turbulence generated in a finite box produces large-scale coherent vortices coexisting with small-scale fluctuations. We present a rigorous theory explaining the eta=1/4 scaling in the V is proportional to r(-eta) law of the velocity spatial profile within a vortex, where r is the distance from the vortex center. This scaling, consistent with earlier numerical and laboratory measurements, is universal in its independence of details of the small-scale injection of turbulent fluctuations and details of the shape of the box.
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