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dc.contributor.authorAnco, Stephen C.
dc.date.accessioned2015-03-04T18:29:02Z
dc.date.available2015-03-04T18:29:02Z
dc.date.issued2014-09
dc.identifier.issn1089-7658
dc.identifier.urihttp://hdl.handle.net/10464/6132
dc.description.abstractFor inviscid fluid flow in any n-dimensional Riemannian manifold, new conserved vorticity integrals generalizing helicity, enstrophy, and entropy circulation are derived for lower-dimensional surfaces that move along fluid streamlines. Conditions are determined for which the integrals yield constants of motion for the fluid. In the case when an inviscid fluid is isentropic, these new constants of motion generalize Kelvin’s circulation theorem from closed loops to closed surfaces of any dimension.en_US
dc.description.sponsorshipNSERC Granten_US
dc.language.isoenen_US
dc.publisherSpringer Baselen_US
dc.subjectFluid flowen_US
dc.subjectConservation lawen_US
dc.subjectConserved integralen_US
dc.subjectConstant of motionen_US
dc.subjectVorticityen_US
dc.subjectHelicityen_US
dc.subjectEnstrophyen_US
dc.subjectCirculationen_US
dc.titleNew conserved vorticity integrals for moving surfaces in multi-dimensional fluid flowen_US
dc.typeArticleen_US
refterms.dateFOA2021-07-16T09:52:08Z


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