Document Detail


Perturbation analysis of mixing and dispersion regimes in the low and intermediate Péclet number region.
MedLine Citation:
PMID:  20481829     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
The object of this paper is to show that a variety of dispersion and mixing phenomena induced by laminar convection and diffusion can be approached by perturbation analysis of the spectrum associated with the corresponding advection-diffusion operator. As a case study for dispersion, we consider the classical Taylor-Aris problem, whereas a prototypical model of Sturm-Liouville generalized eigenvalue problem is considered for describing mixing in open or closed bounded flows. For both cases, we show how a simplified (low-order) perturbative approach defines quantitatively the range of different mixing regimes and the associated time scales. Furthermore, we show how a complete higher-order approach cannot improve significantly the simplified low-order analysis due to the lack of analyticity of the eigenvalue branches. The perturbation analysis is also extended to models of physically realizable mixing systems (lid-driven cavity flow).
Authors:
M Giona; S Cerbelli
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Publication Detail:
Type:  Journal Article     Date:  2010-04-13
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  81     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2010 Apr 
Date Detail:
Created Date:  2010-05-20     Completed Date:  2010-08-11     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:  046309     Citation Subset:  -    
Affiliation:
Dipartimento di Ingegneria Chimica, Sapienza Università di Roma, via Eudossiana 18, 00184 Roma, Italy. max@giona.ing.uniroma1.it
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