Vortex stretching and reconnection in a compressible fluid
University of Central Florida, Orlando, FL, 32816, USA
Corresponding author: a email@example.com
Published online: 31 March 2006
Vortex stretching in a compressible fluid is considered. Two-dimensional (2D) and axisymmetric cases are considered separately. The flows associated with the vortices are perpendicular to the plane of the uniform straining flows. Externally-imposed density build-up near the axis leads to enhanced compactness of the vortices — “dressed" vortices (in analogy to “dressed" charged particles in a dielectric system). The compressible vortex flow solutions in the 2D as well as axisymmetric cases identify a length scale relevant for the compressible case which leads to the Kadomtsev-Petviashvili spectrum for compressible turbulence. Vortex reconnection process in a compressible fluid is shown to be possible even in the inviscid case — compressibility leads to defreezing of vortex lines in the fluid.
PACS: 47.32.-y – Vortex dynamics; rotating fluids
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006