Abstract
Viscous perturbations to scaling are studied in the near-dissipation range of isotropic turbulence. A quantitative relationship between effective strain of the nonlocal interactions and viscosity has been found. It is shown that nonlocal interactions determine the energy spectrum in isotropic turbulence at small Reynolds numbers. It is also shown that for moderate Reynolds numbers the bottleneck effect is determined by the same nonlocal interactions. The role of the large- and small-scale covariances at the nonlocal interactions and in energy balance has been investigated. A possible hydrodynamic mechanism of the nonlocal solution instability at large scales has been briefly discussed. Analogous approach has also been developed for passive scalar and for the energy dissipation rate spectrum. All results are supported by a comparison with the data of the laboratory experiments and numerical simulations.
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