Lagrangian theory for 3D vortex sheets with axial or helical symmetry
- 1 August 1992
- journal article
- continuum flow-dynamics
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 21 (4) , 559-578
- https://doi.org/10.1080/00411459208203798
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.Keywords
This publication has 2 references indexed in Scilit:
- Time-dependent helical waves in rotating pipe flowJournal of Fluid Mechanics, 1990
- Dynamics of vortex interaction with a density interfaceJournal of Fluid Mechanics, 1989