Volume 60, Number 6, December 2002
|Page(s)||841 - 846|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 December 2002|
Low–wave-number behaviour of a passive scalar stirred by narrow-band advection
CNRS UMR 6614/CORIA, Université de Rouen,
Site Universitaire du Madrillet
BP 12, Avenue de l'Université,
76801 Saint-Etienne du Rouvray Cedex, France
Accepted: 3 October 2002
The spectral evolution of a passive scalar experiencing steady stirring imposed by a narrow-band velocity spectrum is examined. An extra term is included in the scalar spectrum equation in order to represent the non-local, direct transfer put forward by Kerstein and McMurtry (Phys. Rev. E, 50 (1994) 2057). It is found that, at large times, this mechanism drives the scalar spectrum to develop the scaling predicted by the latter authors with, however, a significantly faster decay. Furthermore, under these conditions, the computed growth of the scalar lengthscales is superdiffusive.
PACS: 47.27.Gs – Isotropic turbulence; homogeneous turbulence / 47.27.Eq – Turbulence simulation and modeling
© EDP Sciences, 2002
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