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Phys. Fluids 11, 1196 (1999); http://dx.doi.org/10.1063/1.869891 (5 pages)

Velocity fluctuations in a turbulent soap film: The third moment in two dimensions

A. Belmonte1, W. I. Goldburg1, H. Kellay2, M. A. Rutgers3, B. Martin1, and X. L. Wu1

1Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
2CPMOH, Université Bordeaux I, 351 cours de la Liberation, 33405 Talence, France
3Department of Physics, The Ohio State University, Columbus, Ohio 43210

(Received 1 May 1998; accepted 25 January 1999)

Quasi-two-dimensional decaying turbulence is studied in a flowing soap film by measuring the moments of the probability density function P(δv(r)) for the longitudinal velocity differences δv(r) on a scale r. As in three-dimensional (3-D) turbulence, P becomes non-Gaussian with decreasing r. The third moment S3(r) ≡ 〈(δv(r))3 is small and negative at small scales, but becomes positive at larger scales. The exact calculation of S3(r) for 2-D homogeneous isotropic turbulence relates this change in sign to the development of the velocity correlation function as the turbulence decays. © 1999 American Institute of Physics.

© 1999 American Institute of Physics

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1070-6631 (print)  
1089-7666 (online)

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