On dynamics of velocity vector potential in incompressible fluids

Sagar Chakraborty, Partha Guha

Research output: Contribution to journalArticlepeer-review

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.

Original languageBritish English
Pages (from-to)3764-3770
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume373
Issue number41
DOIs
StatePublished - 5 Oct 2009

Keywords

  • Incompressible flow
  • Nambu formalism
  • Quaternions
  • Stream-helicity
  • Topology

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