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

Sagar Chakraborty
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Abstract

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.

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BibTeXRIS

Sagar Chakraborty. 2007-04-25. On knotted streamtubes in incompressible hydrodynamical flow and a restricted conserved quantity. https://doi.org/10.1103/physreve.76.036306

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