Inertial-diffusive range for a passive scalar advected by a white-in-time velocity field
CNRS, Observatoire de Nice - B.P. 229, 06304
Nice Cedex 4, France
Accepted: 9 August 1996
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 (), has an inertial-diffusive range with a spectrum . This is the analog of the Batchelor-Howells-Townsend (J. Fluid Mech., 5 (1959) 134) phenomenological derivation of the law for low-Schmidt-number passive-scalar dynamics in ordinary turbulence.
PACS: 47.27.Qb – Turbulent diffusion
© EDP Sciences, 1996