Multiscale Mixing Efficiencies for Steady Sources

Details Multiscale Mixing Efficiencies for Steady Sources Multiscale Mixing Efficiencies for Steady Sources

2005-08-21

arxiv.org/abs/physics/0508151v2

Phys. Rev. E 74, 025301(R) (2006) (4 pages)

Physics

Fluid Dynamics

4 pages, 1 figure. RevTex4 format with psfrag macros. Final version

Scientific paper

10.1103/PhysRevE.74.025301

Multiscale mixing efficiencies for passive scalar advection are defined in terms of the suppression of variance weighted at various length scales. We consider scalars maintained by temporally steady but spatially inhomogeneous sources, stirred by statistically homogeneous and isotropic incompressible flows including fully developed turbulence. The mixing efficiencies are rigorously bounded in terms of the Peclet number and specific quantitative features of the source. Scaling exponents for the bounds at high Peclet number depend on the spectrum of length scales in the source, indicating that molecular diffusion plays a more important quantitative role than that implied by classical eddy diffusion theories.

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