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

A. Belmonte, W. I. Goldburg, H. Kellay, M. A. Rutgers, B. Martin, X. L. Wu

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1196-1200
Number of pages5
JournalPhysics of Fluids
Issue number5
StatePublished - May 1999

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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