PMID: 11909253Mar 23, 2002Paper

Experiments on free decay of quasi-two-dimensional turbulent flows

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S DanilovV A Krymov

Abstract

Decaying quasi-two-dimensional turbulence in a thin-layer flow is explored in laboratory experiments. We report the presence of power-law interval in the enstrophy decay law, in agreement with earlier experiments by Cardoso et al. [Phys. Rev. E 49, 454 (1994)] and Hansen et al. [Phys. Rev. E 58, 7261 (1998)]. The decay exponent proves sensitive to the way in which the energy decay is compensated. For the range of initial microscale Reynolds numbers between 35 and 95, the decay exponent is close to -0.4 for the ratio of enstrophy to energy, and to -0.75 for the enstrophy multiplied with a compensating factor of exp(-2lambda(t)), where lambda is the bottom-drag coefficient and t the decay time. The vorticity behavior does not comply with the theory of Carnevale et al. [Phys. Rev. Lett. 66, 2735 (1991)]: robust vortices are not observed in the vorticity field and the vorticity kurtosis is less than the Gaussian value.

References

Jan 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·O CardosoP Tabeling
May 27, 1991·Physical Review Letters·G F CarnevaleW R Young
May 15, 1995·Physical Review Letters·H KellayW I Goldburg
Sep 16, 2000·Physical Review Letters·M Rivera, X L Wu

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Citations

Jan 15, 2011·Physical Review Letters·D J RodgersD C Montgomery
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H J H ClercxM L Zoeteweij
Jan 15, 2011·Physical Review Letters·M ShatsH Xia

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