Work

Lagrangian Statistical Theory of Fully Developed Hydrodynamical Turbulence

Year: 2008

Type: article

Abstract: The Lagrangian velocity structure functions in the inertial range of fully developed fluid turbulence are for the first time derived based on the Navier-Stokes equation. For time tau much smaller than the correlation time, the structure functions are shown to obey the scaling relations K_{n}(tau) proportional, varianttau;{zeta_{n}}. The scaling exponents zeta_{n} are calculated analytically without any fitting parameters. The obtained values are in amazing agreement with the experimental results of the Bodenschatz group. A new relation connecting the Lagrangian structure functions of different orders analogously to the extended self-similarity ansatz is found.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.100.174504

Authors: K. P. Zybin, V. A. Sirota, A. S. Ilyin, A. V. Gurevich

Institutions: P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Russian Academy of Sciences

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1585017115

FWCI: 5.244

Cites: 10

Cited by: 30

Related to: 10