Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1863861 | Physics Letters A | 2009 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Sagar Chakraborty, Partha Guha,