Generation of small-scale structures in the developed turbulence

Details Generation of small-scale structures in the developed turbulence Generation of small-scale structures in the developed turbulence

2006-12-13

arxiv.org/abs/physics/0612131v1

Physics

Fluid Dynamics

18 pages

Scientific paper

10.1134/S1063776107080171

The Navier-Stokes equation for incompressible liquid is considered in the limit of infinitely large Reynolds number. It is assumed that the flow instability leads to generation of steady-state large-scale pulsations. The excitation and evolution of the small-scale turbulence is investigated. It is shown that the developed small-scale pulsations are intermittent. The maximal amplitude of the vorticity fluctuations is reached along the vortex filaments. Basing on the obtained solution, the pair correlation function in the limit $r\to 0$ is calculated. It is shown that the function obeys the Kolmogorov law $r^{2/3}$.

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