Lagrangian and Eulerian velocity structure functions in hydrodynamic turbulence

Details Lagrangian and Eulerian velocity structure functions in hydrodynamic turbulence Lagrangian and Eulerian velocity structure functions in hydrodynamic turbulence

2009-11-19

arxiv.org/abs/0911.3916v1

Physics

Fluid Dynamics

4 pages, 1 figure

Scientific paper

The Lagrangian and Eulerian transversal velocity structure functions of fully developed fluid turbulence are found basing on the Navier-Stokes equation. The structure functions are shown to obey the scaling relations inside the inertial range. The scaling exponents are calculated analytically without using dimensional considerations. The obtained values are in a very good agreement with recent numerical and experimental data.

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