INERTIAL-DIFFUSIVE RANGE FOR A PASSIVE SCALAR ADVECTED BY A WHITE-IN-TIME VELOCITY-FIELD

Authors
FRISCH U WIRTH A
Citation
U. Frisch et A. Wirth, INERTIAL-DIFFUSIVE RANGE FOR A PASSIVE SCALAR ADVECTED BY A WHITE-IN-TIME VELOCITY-FIELD, Europhysics letters, 35(9), 1996, pp. 683-687
Citations number
12
Categorie Soggetti
Physics
Journal title
Europhysics letters → ACNP
ISSN journal
02955075
Volume
35
Issue
9
Year of publication
1996
Pages
683 - 687
Database
ISI
SICI code
0295-5075(1996)35:9<683:IRFAPS>2.0.ZU;2-0
Abstract
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 proportional to k(-1-xi) (0 < xi < 2); has an inertial-diffusive range with a spectrum proportional to k(-3- xi). This is the analog of the Batchelor-Howells-Townsend (J. Fluid Me ch., 5 (1959) 134) phenomenological derivation of the k(-17/3) law for low-Schmidt-number passive-scalar dynamics in ordinary turbulence.