The Mixing efficiency of open flows

Details The Mixing efficiency of open flows The Mixing efficiency of open flows

2010-02-16

arxiv.org/abs/1002.2997v1

Physics

Fluid Dynamics

15 pages, 5 figures. PDFLaTeX with RevTeX4 macros

Scientific paper

Mixing in open incompressible flows is studied in a model problem with inhomogeneous passive scalar injection on an inlet boundary. As a measure of the efficiency of stirring, the bulk scalar concentration variance is bounded and the bound is shown to be sharp at low Peclet number. Although no specific flow saturating the bound at high Peclet number is produced here, the estimate is conjectured to be approached for flows possessing sufficiently sustained chaotic regions.

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