An exact expression for the Reynolds number dependence of the energy dissipation rate in homogeneous, isotropic turbulence

Details An exact expression for the Reynolds number dependence of the energy dissipation rate in homogeneous, isotropic turbulence An exact expression for the Reynolds number dependence of the energy dissipation rate in homogeneous, isotropic turbulence

2010-02-10

arxiv.org/abs/1002.2131v1

Physics

Fluid Dynamics

10 pages, 1 figure

Scientific paper

The Reynolds number dependence of the dimensionless dissipation rate is derived directly from the Karman-Howarth equation in terms of the inverse of the integral scale Reynolds number and a coefficient which depends on the second- and third-order structure functions. Fitting this form to the results from a direct numerical simulation indicates that the coefficient is effectively constant.

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