Vorticity generation and conservation for two-dimensional interfaces and boundaries
Identifieur interne : 003E86 ( Main/Exploration ); précédent : 003E85; suivant : 003E87Vorticity generation and conservation for two-dimensional interfaces and boundaries
Auteurs : M. Br Ns [Danemark] ; M. C. Thompson [Australie] ; T. Leweke [France] ; K. Hourigan [Australie]Source :
- Journal of Fluid Mechanics [ 0022-1120 ] ; 2014.
Descripteurs français
- Pascal (Inist)
- Ecoulement Couette, Ecoulement Poiseuille, Ecoulement surface libre, Ecoulement tourbillonnaire, Fluide incompressible, Fluide visqueux, Vorticité, Interface, Etude théorique, Accélération angulaire, Cylindre circulaire, Symétrie axiale, Géométrie plane, Nappe tourbillon, Sillage, Mécanique fluide, Détachement tourbillonnaire, 4727V, 4710, 4732F.
English descriptors
- KwdEn :
Abstract
The generation, redistribution and, importantly, conservation of vorticity and circulation is studied for incompressible Newtonian fluids in planar and axisymmetric geometries. A generalised formulation of the vorticity at the interface between two fluids for both no-slip and stress-free conditions is presented. Illustrative examples are provided for planar Couette flow, Poiseuille flow, the spin-up of a circular cylinder, and a cylinder below a free surface. For the last example, it is shown that, although large imbalances between positive and negative vorticity appear in the wake, the balance is found in the vortex sheet representing the stress-free surface.
Affiliations:
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Le document en format XML
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Br Ns</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Applied Mathematics and Computer Science, Technical University of Denmark</s1><s2>2800 Lyngby</s2><s3>DNK</s3><sZ>1 aut.</sZ></inist:fA14><country>Danemark</country><wicri:noRegion>2800 Lyngby</wicri:noRegion></affiliation></author><author><name sortKey="Thompson, M C" sort="Thompson, M C" uniqKey="Thompson M" first="M. C." last="Thompson">M. C. Thompson</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University</s1><s2>Melbourne, VIC 3800</s2><s3>AUS</s3><sZ>2 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Melbourne, VIC 3800</wicri:noRegion></affiliation></author><author><name sortKey="Leweke, T" sort="Leweke, T" uniqKey="Leweke T" first="T." last="Leweke">T. Leweke</name><affiliation wicri:level="4"><inist:fA14 i1="03"><s1>IRPHE, UMR 7342, CNRS, Aix-Marseille Université, Centrale Marseille</s1><s2>13384 Marseille</s2><s3>FRA</s3><sZ>3 aut.</sZ></inist:fA14><country>France</country><wicri:noRegion>13384 Marseille</wicri:noRegion><placeName><settlement type="city">Marseille</settlement><region type="région" nuts="2">Provence-Alpes-Côte d'Azur</region><settlement type="city">Marseille</settlement></placeName><orgName type="university">Université d'Aix-Marseille</orgName></affiliation></author><author><name sortKey="Hourigan, K" sort="Hourigan, K" uniqKey="Hourigan K" first="K." last="Hourigan">K. Hourigan</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University</s1><s2>Melbourne, VIC 3800</s2><s3>AUS</s3><sZ>2 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Melbourne, VIC 3800</wicri:noRegion></affiliation><affiliation wicri:level="1"><inist:fA14 i1="04"><s1>Division of Biological Engineering, Monash University</s1><s2>Melbourne, VIC 3800</s2><s3>AUS</s3><sZ>4 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Melbourne, VIC 3800</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">Journal of Fluid Mechanics</title><title level="j" type="abbreviated">J. 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A generalised formulation of the vorticity at the interface between two fluids for both no-slip and stress-free conditions is presented. Illustrative examples are provided for planar Couette flow, Poiseuille flow, the spin-up of a circular cylinder, and a cylinder below a free surface. For the last example, it is shown that, although large imbalances between positive and negative vorticity appear in the wake, the balance is found in the vortex sheet representing the stress-free surface.</div></front></TEI><affiliations><list><country><li>Australie</li><li>Danemark</li><li>France</li></country><region><li>Provence-Alpes-Côte d'Azur</li></region><settlement><li>Marseille</li></settlement><orgName><li>Université d'Aix-Marseille</li></orgName></list><tree><country name="Danemark"><noRegion><name sortKey="Br Ns, M" sort="Br Ns, M" uniqKey="Br Ns M" first="M." last="Br Ns">M. Br Ns</name></noRegion></country><country name="Australie"><noRegion><name sortKey="Thompson, M C" sort="Thompson, M C" uniqKey="Thompson M" first="M. C." last="Thompson">M. C. Thompson</name></noRegion><name sortKey="Hourigan, K" sort="Hourigan, K" uniqKey="Hourigan K" first="K." last="Hourigan">K. Hourigan</name><name sortKey="Hourigan, K" sort="Hourigan, K" uniqKey="Hourigan K" first="K." last="Hourigan">K. Hourigan</name></country><country name="France"><region name="Provence-Alpes-Côte d'Azur"><name sortKey="Leweke, T" sort="Leweke, T" uniqKey="Leweke T" first="T." last="Leweke">T. Leweke</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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