Coupled continuous-time random walks for fluid stretching in two-dimensional heterogeneous media.
Identifieur interne : 004157 ( Ncbi/Merge ); précédent : 004156; suivant : 004158Coupled continuous-time random walks for fluid stretching in two-dimensional heterogeneous media.
Auteurs : Marco Dentz [Espagne] ; Daniel R. Lester [Australie] ; Tanguy Le Borgne [France] ; Felipe P J. De Barros [États-Unis]Source :
- Physical review. E [ 2470-0053 ] ; 2016.
Abstract
We study the relation between flow structure and fluid deformation in steady flows through two-dimensional heterogeneous media, which are characterized by a broad spectrum of stretching behaviors, ranging from sub- to superlinear. We analyze these behaviors from first principles, which uncovers intermittent shear events to be at the origin of subexponential stretching. We derive explicit expressions for Lagrangian deformation and demonstrate that stretching obeys a coupled continuous-time random walk, which for broad distributions of flow velocities becomes a Lévy walk. The derived model provides a direct link between the flow and deformation statistics, and a natural way to quantify the impact of intermittent shear events on the stretching behavior.
DOI: 10.1103/PhysRevE.94.061102
PubMed: 28085355
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De Barros</name><affiliation wicri:level="4"><nlm:affiliation>Sonny Astani Department of Civil and Environmental Engineering, University of Southern California, 3620 South Vermont Avenue, KAP 224B, Los Angeles, California 90089, USA.</nlm:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Sonny Astani Department of Civil and Environmental Engineering, University of Southern California, 3620 South Vermont Avenue, KAP 224B, Los Angeles, California 90089</wicri:regionArea><orgName type="university">Université de Californie du Sud</orgName><placeName><settlement type="city">Los Angeles</settlement><region type="state">Californie</region></placeName></affiliation></author></analytic><series><title level="j">Physical review. 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E</Title><ISOAbbreviation>Phys Rev E</ISOAbbreviation></Journal><ArticleTitle>Coupled continuous-time random walks for fluid stretching in two-dimensional heterogeneous media.</ArticleTitle><Pagination><MedlinePgn>061102</MedlinePgn></Pagination><ELocationID EIdType="doi" ValidYN="Y">10.1103/PhysRevE.94.061102</ELocationID><Abstract><AbstractText>We study the relation between flow structure and fluid deformation in steady flows through two-dimensional heterogeneous media, which are characterized by a broad spectrum of stretching behaviors, ranging from sub- to superlinear. We analyze these behaviors from first principles, which uncovers intermittent shear events to be at the origin of subexponential stretching. We derive explicit expressions for Lagrangian deformation and demonstrate that stretching obeys a coupled continuous-time random walk, which for broad distributions of flow velocities becomes a Lévy walk. 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Lester</name></noRegion></country><country name="France"><region name="Région Bretagne"><name sortKey="Le Borgne, Tanguy" sort="Le Borgne, Tanguy" uniqKey="Le Borgne T" first="Tanguy" last="Le Borgne">Tanguy Le Borgne</name></region></country><country name="États-Unis"><region name="Californie"><name sortKey="De Barros, Felipe P J" sort="De Barros, Felipe P J" uniqKey="De Barros F" first="Felipe P J" last="De Barros">Felipe P J. De Barros</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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