Bottleneck Effects in Turbulence: Scaling Phenomena in r versus p Space

Detlef Lohse, Axel Mueller-Groeling

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Abstract

We (analytically) calculate the energy spectrum corresponding to various experimental and numerical turbulence data analyzed by Benzi et al. We find two bottleneck phenomena: While the local scaling exponent zeta r(r) of the structure function decreases monotonically, the local scaling exponent zeta p(p) of the corresponding spectrum has a minimum of zeta p(pmin) ~ 0.45 at pmin ~ (10 eta )-1 and a maximum of zeta p(pmax) ~ 0.77 at pmax ~ 8L-1. A physical argument starting from the constant energy flux in p space reveals the general mechanism underlying the energy pileups at both ends of the p-space scaling range. In the case studied here, they are induced by viscous dissipation and the reduced spectral strength on the scale of the system size, respectively.
Original languageUndefined
Pages (from-to)1747-1750
JournalPhysical review letters
Volume74
Issue number10
DOIs
Publication statusPublished - 1995

Keywords

  • IR-50338

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