PMID: 11909405Mar 23, 2002Paper

Anomalous self-similarity in a turbulent rapidly rotating fluid

Physical Review Letters
Charles N BaroudHarry L Swinney

Abstract

Our velocity measurements on quasi-two-dimensional turbulent flow in a rapidly rotating annulus yield self-similar (scale-independent) probability distribution functions for longitudinal velocity differences, deltav(l) = v(x+l)-v(x). These distribution functions are strongly non-Gaussian, suggesting that the coherent vortices play a significant role. The structure functions <[deltav(l)](p)> approximately l(zeta)p exhibit anomalous scaling: zeta(p) = p / 2 rather than the expected zeta(p) = p / 3. Correspondingly, the energy spectrum is described by E(k) approximately k(-2) rather than the expected E(k) approximately k(-5/3).

References

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Citations

Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Y HattoriA Ishizawa
Mar 10, 2010·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·A Pouquet, P D Mininni
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Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yue-Kin TsangParvez N Guzdar
Oct 26, 2002·Physical Review Letters·Peter Constantin
Nov 28, 2019·Physical Review. E·Priyanka MaitySamriddhi Sankar Ray
May 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antoine CampagnePierre-Philippe Cortet
Jul 30, 2011·Physical Review Letters·Cyril LamribenFrédéric Moisy
Dec 31, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lydia Bourouiba
Oct 13, 2007·Physical Review Letters·L Sorriso-ValvoE Pietropaolo
Mar 5, 2009·Physical Review Letters·Itamar KolvinEran Sharon
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sagar Chakraborty, J K Bhattacharjee
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lorenzo Del Castello, Herman J H Clercx
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sébastien Galtier
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F LepretiV Carbone
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Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Barbara Bigot, Sébastien Galtier
May 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sébastien Galtier

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