Abstract
Three-dimensional motion of a slender vortex tube, embedded in an inviscid incompressible fluid, is investigated under the localized induction approximation for the Euler equations. Using the method of matched asymptotic expansions in a small parameter e, the ratio of core radius to curvature radius, the velocity of a vortex filament is derived to O(∈3), whereby the influence of elliptical deformation of the core due to the self-induced strain is taken into account. It is found that there is an integrable line in the core whose evolution obeys a summation of the first, and third terms of the localized induction hierarchy.
| Original language | English |
|---|---|
| Pages (from-to) | 167-171 |
| Number of pages | 5 |
| Journal | European Physical Journal B |
| Volume | 29 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Sept 2 2002 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics