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

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

2006-11-16

arxiv.org/abs/physics/0611166v2

Phys. Rev. E 76, 036306 (2007)

Physics

Fluid Dynamics

This extended version is the basically a more clarified version of the previous submission physics/0611166v1

Scientific paper

10.1103/PhysRevE.76.036306

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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