On knotted streamtubes in incompressible hydrodynamical flow and a restricted conserved quantity
Fluid Dynamics
2009-11-13 v2
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.
Cite
@article{arxiv.physics/0611166,
title = {On knotted streamtubes in incompressible hydrodynamical flow and a restricted conserved quantity},
author = {Sagar Chakraborty},
journal= {arXiv preprint arXiv:physics/0611166},
year = {2009}
}
Comments
This extended version is the basically a more clarified version of the previous submission physics/0611166v1