A new approach to turbulent transport of a mean scalar
Abstract
We develop a simple mean field approach to the transport of a passive scalar for which the fundamental equation is a second order differential equation in the transported quantity, not a first order equation. Triple correlations are included, as they must be for any realistic description of turbulence. No correlation time enters the theory, only an eddy turnover time. The approach is simpler than standard approaches which incorporate triple correlations, but more realistic than Gaussian or short correlation time closures which do not. A similar approach has proven useful in magnetohydrodynamics.
 Publication:

Physics of Fluids
 Pub Date:
 November 2003
 DOI:
 10.1063/1.1613281
 arXiv:
 arXiv:astroph/0302013
 Bibcode:
 2003PhFl...15L..73B
 Keywords:

 47.27.i;
 05.60.Cd;
 02.30.Hq;
 02.60.Lj;
 Turbulent flows;
 Classical transport;
 Ordinary differential equations;
 Ordinary and partial differential equations;
 boundary value problems;
 Astrophysics;
 Physics  Fluid Dynamics;
 Physics  Plasma Physics
 EPrint:
 8 Pages, LaTeX, version in press, Physics of Fluids (Letters)