On dynamics of velocity vector potential in incompressible fluids

Details On dynamics of velocity vector potential in incompressible fluids On dynamics of velocity vector potential in incompressible fluids

2007-05-17

arxiv.org/abs/0705.2488v2

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

Physics

Fluid Dynamics

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Scientific paper

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.

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