Lagrangian and Eulerian velocity structure functions in hydrodynamic turbulence

Abstract

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.

4 pages, 1 figure

References in corpus (4)

• Universal intermittent properties of particle trajectories in highly turbulent flows
• Lagrangian Structure Functions in Turbulence: A Quantitative Comparison between Experiment and Direct Numerical Simulation
• Lagrangian structure functions in fully-developed hydrodynamical turbulence
• Generation of small-scale structures in the developed turbulence

Cited by in corpus (4)

• A phenomenological theory of Eulerian and Lagrangian velocity fluctuations in turbulent flows
• Multi-Time Multi-Scale Correlation Functions in Hydrodynamic Turbulence
• Lagrangian stochastic integrals of motion in isotropic random flows
• Lagrangian view of time irreversibility of fluid turbulence