On knotted streamtubes in incompressible hydrodynamical flow and a restricted conserved quantity

For certain families of fluid flow, a new conserved quantity -- stream-helicity -- has been established.Using examples of linked and knotted streamtubes, it has been shown that stream-helicity does, in certain cases, entertain itself with a very precise topological meaning viz, measure of the degree...

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Bibliographic Details
Published inarXiv.org
Main Author Chakraborty, Sagar
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 25.04.2007
Subjects
Fluid dynamics
Fluid flow
Helicity
Incompressible flow
Topology
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Summary:For certain families of fluid flow, a new conserved quantity -- stream-helicity -- has been established.Using examples of linked and knotted streamtubes, it has been shown that stream-helicity does, in certain cases, entertain itself with a very precise topological meaning viz, measure of the degree of knottedness or linkage of streamtubes.As a consequence, stream-helicity emerges as a robust topological invariant.
ISSN:2331-8422
DOI:10.48550/arxiv.0611166