Abstract
Using volumetric velocity data from a turbulent laboratory water flow and numerical simulations of homogeneous, isotropic turbulence, we present a direct experimental and numerical assessment of Kolmogorov's first refined similarity hypothesis based on three-dimensional measurements of the local energy dissipation rate measured at dissipative scales . We focus on the properties of the stochastic variables and , where and are longitudinal and transverse velocity increments. Over one order of magnitude of scales within the dissipative range, the distributions of and from both experiment and simulation collapse when parametrized by a suitably defined local Reynolds number, providing conclusive experimental evidence in support of the first refined similarity hypothesis and its universality.
- Received 18 June 2018
DOI:https://doi.org/10.1103/PhysRevFluids.4.022601
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