Stability of Tangential Discontinuity for the Vortex Pancakes
Abstract
Within the incompressible three-dimensional Euler equations, we study the pancake-like high vorticity regions, which arise during the onset of developed hydrodynamic turbulence. We show that these regions have an internal fine structure consisting of three vortex layers. Such a layered structure, together with the power law of self-similar evolution of the pancake, prevents development of the Kelvin-Helmholtz instability.
- Publication:
-
Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- July 2021
- DOI:
- 10.1134/S0021364021140010
- arXiv:
- arXiv:2106.09176
- Bibcode:
- 2021JETPL.114...71A
- Keywords:
-
- Physics - Fluid Dynamics
- E-Print:
- 4 pages, 2 figures