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