Document Detail


Multiscale mixing efficiencies for steady sources.
MedLine Citation:
PMID:  17025494     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
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 Péclet number and specific quantitative features of the source. Scaling exponents for the bounds at high Péclet 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.
Authors:
Charles R Doering; Jean-Luc Thiffeault
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Publication Detail:
Type:  Journal Article     Date:  2006-08-22
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  74     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2006 Aug 
Date Detail:
Created Date:  2006-10-09     Completed Date:  2006-12-15     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  025301     Citation Subset:  -    
Affiliation:
Department of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109-1043, USA. doering@umich.edu
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