Abstract
A model for the Reynolds-number dependence of the dimensionless dissipation rate was derived from the dimensionless Kármán-Howarth equation, resulting in , where is the integral scale Reynolds number. The coefficients and arise from asymptotic expansions of the dimensionless second- and third-order structure functions. This theoretical work was supplemented by direct numerical simulations (DNSs) of forced isotropic turbulence for integral scale Reynolds numbers up to (), which were used to establish that the decay of dimensionless dissipation with increasing Reynolds number took the form of a power law with exponent value and that this decay of was actually due to the increase in the Taylor surrogate . The model equation was fitted to data from the DNS, which resulted in the value and in an asymptotic value for in the infinite Reynolds-number limit of .
- Received 4 February 2015
DOI:https://doi.org/10.1103/PhysRevE.91.043013
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