English

Lagrangian and Eulerian velocity structure functions in hydrodynamic turbulence

Fluid Dynamics 2015-05-14 v1

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.

Keywords

Cite

@article{arxiv.0911.3916,
  title  = {Lagrangian and Eulerian velocity structure functions in hydrodynamic turbulence},
  author = {K. P. Zybin and V. A. Sirota},
  journal= {arXiv preprint arXiv:0911.3916},
  year   = {2015}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-21T14:13:56.124Z