Multiscale Mixing Efficiencies for Rough Sources
Abstract
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 quantitative features of the source. Scaling exponents for the high Peclet number bounds on these multi-scale mixing efficiencies depend on the spectrum of length scales in the source.Keywords
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