Large-scale length that could determine the mean rate of energy dissipation in turbulence

Details Large-scale length that could determine the mean rate of energy dissipation in turbulence Large-scale length that could determine the mean rate of energy dissipation in turbulence

2012-02-06

arxiv.org/abs/1202.1048v1

Physics

Fluid Dynamics

8 pages

Scientific paper

The mean rate of energy dissipation in turbulence is traditionally assumed to scale with parameters of the energy-containing large scales, i.e., the root-mean-square fluctuation of the longitudinal velocity u and its correlation length L(u). However, the resultant scaling coefficient C(u) is known to depend on the large-scale configuration of the flow. We define the correlation length L(u2) of the local energy u2, study the scaling coefficient C(u2) with experimental data of several flows, and find a possibility that C(u2) does not depend on the flow configuration. Not L(u) but rather L(u2) could scale with the typical size of the energy-containing eddies, so that L(u2) determines the mean rate at which the energy is transferred from those eddies to the smaller eddies and is eventually dissipated into heat.

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