Spatial dependence of correlation functions in the decay problem for a passive scalar in a large-scale velocity field
Abstract
Statistical characteristics of a passive scalar advected by a turbulent velocity field are considered in the decay problem with a low scalar diffusivity κ (large Prandtl number v/κ, where v is kinematic viscosity). A regime in which the scalar correlation length remains smaller than the velocity correlation length is analyzed. The equal-time correlation functions of the scalar field are found to vary according to power laws and have angular singularities reflecting locally layered distribution of the scalar in space.
- Publication:
-
Soviet Journal of Experimental and Theoretical Physics
- Pub Date:
- April 2006
- DOI:
- 10.1134/S1063776106040194
- Bibcode:
- 2006JETP..102..685V
- Keywords:
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- 05.20.Jj;
- 47.27.Gs;
- 47.27.-i