Anomalous scaling behaviour of a passive scalar in the presence of a mean gradient
Institut Nonlinéaire de Nice, CNRS - 1361 route des Lucioles,
F-06560, Valbonne, France
Accepted: 9 February 1996
The problem of mixing of a passive scalar by a Gaussian, isotropic, random velocity field, decorrelated in time, and with a power law scaling of the velocity differences as is considered. In the presence of an imposed mean scalar gradient, the existence of an anomalous scaling exponent of the three-point correlation function is established. The exponent is explicitly computed in perturbation for small values of ζ. The result provides a qualitative explanation of several experimental and numerical observations.
PACS: 47.27.Gs – Isotropic turbulence; homogeneous turbulence / 47.27.Te – Convection and heat transfer
© EDP Sciences, 1996