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

W. David McComb; Arjun Berera; Matthew Salewski; Samuel Yoffe

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arXiv · 1002.2131

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

W. David McComb·Arjun Berera·Matthew Salewski·Samuel Yoffe

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Abstract

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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W. David McComb, Arjun Berera, Matthew Salewski, Samuel Yoffe. 2010-02-10. An exact expression for the Reynolds number dependence of the energy dissipation rate in homogeneous, isotropic turbulence. https://arxiv.org/abs/1002.2131

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