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PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
6 Pt 2
pubmed:dateCreated
2010-4-6
pubmed:abstractText
Slip boundary conditions for the velocity field impact on the spectral properties of the advection-diffusion operator describing transport of passive particles in laminar parallel flows. By considering the Hermitian operator (referred to as the weighted Laplacian), describing the interplay between axial convection and cross-sectional diffusion of a scalar field, we show that the spectral watershed between slip and no-slip boundary conditions is a qualitatively different scaling behavior of the mean of the normalized eigenfunctions of the weighted Laplacian. The occurrence of slip conditions also influences the scaling of the density of states as regards both the leading and the subleading term in the Weyl's expansion.
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:chemical
pubmed:status
MEDLINE
pubmed:month
Dec
pubmed:issn
1550-2376
pubmed:author
pubmed:issnType
Electronic
pubmed:volume
80
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
066302
pubmed:meshHeading
pubmed:year
2009
pubmed:articleTitle
Spectral analysis of the weighted Laplacian in slip and no-slip flows.
pubmed:affiliation
Dipartimento di Ingegneria Chimica, Sapienza Università di Roma, via Eudossiana 18, Roma, Italy. max@giona.ing.uniroma1.it
pubmed:publicationType
Journal Article