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

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Lohse, Detlef and Mueller-Groeling, Axel (1995) Bottleneck Effects in Turbulence: Scaling Phenomena in r versus p Space. Physical Review Letters, 74 (10). pp. 1747-1750. ISSN 0031-9007

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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.
Item Type:Article
Copyright:© 1995 American Physical Society
Link to this item:http://purl.utwente.nl/publications/50338
Official URL:http://dx.doi.org/10.1103/PhysRevLett.74.1747
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