On dynamics of velocity vector potential in incompressible fluids

Physics Letters A, Volume 373, Issue 41, 5 October 2009, Pages 3764-3770 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-...

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Bibliographic Details
Main Authors Chakraborty, Sagar, Guha, Partha
Format Journal Article
LanguageEnglish
Published 17.05.2007
Subjects
Mathematics - Mathematical Physics
Physics - Fluid Dynamics
Physics - Mathematical Physics
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Summary:Physics Letters A, Volume 373, Issue 41, 5 October 2009, Pages 3764-3770 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.
DOI:10.48550/arxiv.0705.2488