Steady multipolar planar vortices with nonlinear critical layers

Details Steady multipolar planar vortices with nonlinear critical layers Steady multipolar planar vortices with nonlinear critical layers

Jun 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004gapfd..98..473c&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics, vol. 98, Issue 6, p.473-506

Physics

Fluid Dynamics

3

Scientific paper

This article considers a family of steady multipolar planar vortices, which are the superposition of an axisymmetric mean flow, and an azimuthal disturbance in the context of inviscid, incompressible flow. This configuration leads to strongly nonlinear critical layers where the angular velocities of the mean flow and the disturbance are comparable. The poles located on the same critical radius possess the same uniform vorticity, whose weak amplitude is of the same order as the azimuthal disturbance. This problem is examined through aperturbation expansion in which relevant nonlinear terms are retained in the critical layer equations, while viscosity is neglected. In particular, the associated singularity at the meeting point of the separatrices is treated by employing appropriate re-scaled variables. Matched asymptotic expansions are then used to obtain a complete analytical description of these vortices.

Affiliated with

Also associated with

No associations

Rating

Steady multipolar planar vortices with nonlinear critical layers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Steady multipolar planar vortices with nonlinear critical layers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Steady multipolar planar vortices with nonlinear critical layers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-895580