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Article Dans Une Revue EPL - Europhysics Letters Année : 1996

Inertial-diffusive range for a passive scalar advected by a white-in-time velocity field

Résumé

It is shown analytically and by Monte Carlo simulations that a passive scalar with finite diffusivity, advected by a white-in-time velocity field with a power law spectrum propto k-1-ξ (0 < ξ < 2), has an inertial-diffusive range with a spectrum propto k-3-ξ. This is the analog of the Batchelor-Howells-Townsend (J. Fluid Mech., 5 (1959) 134) phenomenological derivation of the k-17/3 law for low-Schmidt-number passive-scalar dynamics in ordinary turbulence.

Dates et versions

hal-00546284 , version 1 (14-12-2010)

Identifiants

Citer

U. Frisch, Achim Wirth. Inertial-diffusive range for a passive scalar advected by a white-in-time velocity field. EPL - Europhysics Letters, 1996, 35, pp.683-688. ⟨10.1209/EPL/I1996-00170-7⟩. ⟨hal-00546284⟩
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