Influence of a mean shear on the spectrum of passive scalar fluctuations | Zendy

Celani A. | Zendy; Cencini M. | Zendy; Vergassola M. | Zendy; Villermaux E. | Zendy; Vincenzi D. | Zendy

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Influence of a mean shear on the spectrum of passive scalar fluctuations

Author(s) -

Celani A.,

Cencini M.,

Vergassola M.,

Villermaux E.,

Vincenzi D.

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700285

Subject(s) - scalar (mathematics) , shear (geology) , turbulence , inertial frame of reference , wavenumber , fluctuation spectrum , physics , spectrum (functional analysis) , mechanics , classical mechanics , mathematics , materials science , condensed matter physics , quantum mechanics , geometry , composite material

The form of the spectrum of passive scalar fluctuations in the inertial–convective range is investigated. In the presence of a mean shear, there exists a critical wave number k c . At wave numbers greater than k c , the mean shear does not influence the spectrum of scalar fluctuations and the Obukhov–Corrsin prediction holds. At wave numbers smaller than k c , the mean shear dominates and the spectrum is less steep. These predictions are based on the study of Lagrangian dynamics of fluid particles and account for the experimental observations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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