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Phys. Rev. E 79, 045301(R) (2009) [4 pages]

Persistent skewness of a strongly active scalar

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Jie Zhang* and X. L. Wu
Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA

Received 17 January 2009; published 8 April 2009

We present a skewness measurement of the density fluctuations δρ̃l on scales l in a vertical turbulent soap film driven by a temperature gradient. Unlike the temperature difference δTl in Rayleigh-Bénard convection, the density difference in the film is strongly active because δρ̃lρ̅ ⪢δTlT̅ , where the over-bar indicates the mean. Our results show persistent nonzero skewness Sy(l)≡⟨δρ̃l3⟩∕⟨δρ̃l23∕2 on different scales along the gravity direction ŷ; Sy(l) is positive for small l and negative for large l. The sign switch occurs approximately at the Bolgiano length scale lB. The simultaneous presence of positive and negative skewnesses is interpreted here as a result of the structures of rising and falling plumes in a strongly stratified medium.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.79.045301
DOI:
10.1103/PhysRevE.79.045301
PACS:
47.27.te, 47.55.Hd, 47.55.pb

*Present address: Department of Physics, Duke University, Box 90305, Durham, NC 27708, USA.