On the motion of thin vortex tubes
The motion of a tube of vorticity with a cross sectional radius that is everywhere small compared to local radius of curvature of the tube is considered. In particular, we determine the inviscid motion of the 3D space curve that traces the centerline of the tube for an arbitrary distribution of axial vorticity within the core.
© Springer-Verlag 2009. Received: 6 January 2009. Accepted: 2 June 2009. Published online: 9 July 2009. Communicated by H. Aref.