A local instability mechanism of the Navier-Stokes flow with swirl on the no-slip flat boundary

Autor:	Lichtenfelz, Leandro, Yoneda, Tsuyoshi
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry Physics - Fluid Dynamics
Druh dokumentu:	Working Paper
DOI:	10.1007/s00021-019-0424-7
Popis:	Using numerical simulations of the axisymmetric Navier-Stokes equations with swirl on a no-slip flat boundary, Hsu-Notsu-Yoneda [J. Fluid Mech. 2016] observed the creation of a high-vorticity region on the boundary near the axis of symmetry. In this paper, using a differential geometric approach, we prove that such flows indeed have a destabilizing effect, which is formulated in terms of a lower bound on the $L^\infty$-norm of derivatives of the velocity field on the boundary.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.13057 Zobrazit plný text záznamu View this record from Arxiv