Three-dimensional motion of a slender vortex tube, embedded in an inviscid incompressible fluid, is investigated for the Euler equations. Using the method of matched asymptotic expansions in a small parameter ߳, the ratio of core radius to curvature radius, the velocity of a vortex tube is derived to ܱ(߳ଷ), whereby the influence of elliptical deformation of the core due to the self-induced strain is taken into account. Some detailed analysis is made of motion of a helical vortex tube.
|Publication status||Published - 2018|
|Event||4th International Retreat on Vortical Flow and Aerodynamics (IRVA4) - Kutateladze Institute of Thermophysics, Novosibirsk, Russian Federation|
Duration: 1 Oct 2018 → 3 Oct 2018
|Conference||4th International Retreat on Vortical Flow and Aerodynamics (IRVA4)|
|Location||Kutateladze Institute of Thermophysics|
|Period||01/10/2018 → 03/10/2018|