Article ID Journal Published Year Pages File Type
1863861 Physics Letters A 2009 7 Pages PDF
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)
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