Volume 80, Number 5, December 2007
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||25 October 2007|
Sub-Kolmogorov-scale fluctuations in fluid turbulence
Department of Mechanical Engineering, Technische Universität Ilmenau - D-98684 Ilmenau, Germany
Accepted: 1 October 2007
We relate the intermittent fluctuations of velocity gradients in turbulence to a whole range of local dissipation scales generalizing the picture of a single mean dissipation length. The statistical distribution of these local dissipation scales as a function of Reynolds number is determined in numerical simulations of forced homogeneous isotropic turbulence with a spectral resolution never applied before which exceeds the standard one by at least a factor of eight. The core of the scale distribution agrees well with a theoretical prediction. Increasing Reynolds number causes the generation of ever finer local dissipation scales. This is in line with a less steep decay of the large wave number energy spectra in the dissipation range. The energy spectrum for the highest accessible Taylor microscale Reynolds number = 107 does not show a bottleneck.
PACS: 47.27.Gs – Isotropic turbulence; homogeneous turbulence / 47.27.E- – Turbulence simulation and modeling / 47.27.eb – Statistical theories and models
© Europhysics Letters Association, 2007
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