Self-similar axisymmetric flows with swirl
Analysis of PDEs
2023-11-14 v2
Abstract
We consider an infinite vortex line in a fluid which interacts with a boundary surface as a simplified model for tornadoes. We study self-similar solutions for stationary axisymmetric Navier-Stokes equations and investigate the types of motion which are compatible with this structure when viscosity is non-negative. For viscosity equal to zero, we construct a class of explicit stationary solutions. We then consider solutions with slip discontinuity and show that they do not exist in this framework.
Keywords
Cite
@article{arxiv.2301.11090,
title = {Self-similar axisymmetric flows with swirl},
author = {Theodoros Katsaounis and Ioanna Mousikou and Athanasios E. Tzavaras},
journal= {arXiv preprint arXiv:2301.11090},
year = {2023}
}