Taylor's (1935) dissipation surrogate reinterpreted

McComb, W. David and Berera, A. and Salewski, Matthew and Yoffe, Samuel (2010) Taylor's (1935) dissipation surrogate reinterpreted. Physics of Fluids, 22 (6). 061704. ISSN 1070-6631 (https://doi.org/10.1063/1.3450299)

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Abstract

New results from direct numerical simulation of decaying isotropic turbulence show that Taylor’s expression for the viscous dissipation rate ε = CεU3/L is more appropriately interpreted as a surrogate for the inertial energy flux. As a consequence, the well known dependence of the Taylor prefactor Cε on Reynolds number Cε(RL)→Cε,∞ can be understood as corresponding to the onset of an inertial range.