On dynamics of velocity vector potential in incompressible fluids
Fluid Dynamics
2009-10-06 v2 Mathematical Physics
math.MP
Abstract
An elegant quaternionic formulation is given for the Lagrangian advection equation for velocity vector potential in fluid dynamics. At first we study the topological significance of a restricted conserved quantity viz., stream-helicity and later more realistic configuration of open streamlines is figured out. Also, using Clebsch parameterisation of the velocity vector potential yet another physical significance for the stream-helicity is provided. Finally we give a Nambu-Poisson formalism of the Lagrangian advection equation for velocity vector potential.
Keywords
Cite
@article{arxiv.0705.2488,
title = {On dynamics of velocity vector potential in incompressible fluids},
author = {Sagar Chakraborty and Partha Guha},
journal= {arXiv preprint arXiv:0705.2488},
year = {2009}
}
Comments
The presentation has been improved compared to the previous submission. More work has to be done before it could be considered a complete work. Suggestions are most welcome