Send to

Choose Destination
See comment in PubMed Commons below
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Aug;86(2 Pt 2):026309. Epub 2012 Aug 16.

Large-scale length that determines the mean rate of energy dissipation in turbulence.

Author information

Meteorological Research Institute, Nagamine, Tsukuba 305-0052, Japan.


The mean rate of energy dissipation [ε] per unit mass of turbulence is often written in the form of [ε]=C(u)[u(2)](3/2)/L(u), where the root-mean-square velocity fluctuation [u(2)](1/2) and the velocity correlation length L(u) are parameters of the energy-containing large scales. However, the dimensionless coefficient C(u) is known to depend on the flow configuration that is to induce the turbulence. We define the correlation length L(u(2)) of the local energy u(2), study C(u(2))=[ε]L(u(2))/[u(2)](3/2) with experimental data of several flows, and find that C(u(2)) does not depend on the flow configuration. Not L(u) but L(u(2)) could serve universally as the typical size of the energy-containing eddies, so that [u(2)](3/2)/L(u(2)) is proportional to the rate at which the kinetic energy is removed from those eddies and is eventually dissipated into heat. The independence from the flow configuration is also found for the two-point correlations and so on when L(u(2)) is used to normalize the scale.

[Indexed for MEDLINE]
PubMed Commons home

PubMed Commons

How to join PubMed Commons

    Supplemental Content

    Loading ...
    Support Center