Lagrangian Theory for 3D Vortex Sheets with Axial or Helical Symmetry

Russel Caflisch, Xiao Fan Li

Research output: Contribution to journalArticle

Abstract

Consider a three-dimensional vortex sheet in inviscid, incompressible flow which is irrotational away from the sheet. We derive an equation for the evolution of a vortex sheet in Lagrangian coordinates, i.e. an equation that is restricted to the sheet itself and is analogous to the Birkhoff-Rott equation for a two-dimensional (planar) sheet. This general equation is specialized to sheets with axial or helical symmetry, with or without swirl.

Original languageEnglish (US)
Pages (from-to)559-578
Number of pages20
JournalTransport Theory and Statistical Physics
Volume21
Issue number4-6
DOIs
StatePublished - Aug 1 1992

Fingerprint

vortex sheets
Vortex Sheet
Vortex flow
Symmetry
Incompressible flow
symmetry
Lagrangian Coordinates
incompressible flow
Incompressible Flow
Three-dimensional

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Lagrangian Theory for 3D Vortex Sheets with Axial or Helical Symmetry. / Caflisch, Russel; Li, Xiao Fan.

In: Transport Theory and Statistical Physics, Vol. 21, No. 4-6, 01.08.1992, p. 559-578.

Research output: Contribution to journalArticle

Caflisch, Russel ; Li, Xiao Fan. / Lagrangian Theory for 3D Vortex Sheets with Axial or Helical Symmetry. In: Transport Theory and Statistical Physics. 1992 ; Vol. 21, No. 4-6. pp. 559-578.
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