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

2010/02/10 by W D McComb, McComb, W. David, Arjun Berera +5
Earth and Planetary Sciences · Engineering · Environmental Science · #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Wind and Air Flow Studies

paper · pdf · doi:10.48550/arxiv.1002.2131

openalex publication_date 2010/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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