Publication detail
Effect of spiral vortices on the stability of vortex structures in the diffusor
POCHYLÝ, F. FIALOVÁ, S. ŠTEFAN, D.
English title
Effect of spiral vortices on the stability of vortex structures in the diffusor
Type
conference paper
Language
en
Original abstract
It is known that the cause of the instability of stationary vortex structures are the convective terms of the Navier-Stokes equations. Here, the formation of vortex structures is fundamentally influenced by the vector product of the velocity curl and the velocity vector. Spiral vortices are contingent on the zero value of this product and are one of the causes of the formation of a non-stationary rope in a diffusor. In the paper, equations of spiral vortices are derived and the condition of the vortex stability in a diffusor is determined depending on the existence of spiral vortices. In this sense, new forms of the Navier-Stokes equations are derived. It is possible to analyze the influence of boundary conditions on the stability of vortex structures. The theoretical knowledge is applied to the analysis of the stability of the vortex rope in a diffusor. In addition, a simple method for detecting the onset of the instability of vortex structures is presented.
English abstract
It is known that the cause of the instability of stationary vortex structures are the convective terms of the Navier-Stokes equations. Here, the formation of vortex structures is fundamentally influenced by the vector product of the velocity curl and the velocity vector. Spiral vortices are contingent on the zero value of this product and are one of the causes of the formation of a non-stationary rope in a diffusor. In the paper, equations of spiral vortices are derived and the condition of the vortex stability in a diffusor is determined depending on the existence of spiral vortices. In this sense, new forms of the Navier-Stokes equations are derived. It is possible to analyze the influence of boundary conditions on the stability of vortex structures. The theoretical knowledge is applied to the analysis of the stability of the vortex rope in a diffusor. In addition, a simple method for detecting the onset of the instability of vortex structures is presented.
Keywords in English
spiral vortices, stability, velocity
Released
28.03.2019
ISSN
1755-1315
Book
IOP Conference Series: Earth and Environmental Science
Volume
240
Pages from–to
1–8
Pages count
8
BIBTEX
@inproceedings{BUT156442,
author="František {Pochylý} and Simona {Fialová} and David {Štefan},
title="Effect of spiral vortices on the stability of vortex structures in the diffusor",
booktitle="IOP Conference Series: Earth and Environmental Science",
year="2019",
volume="240",
month="March",
pages="1--8",
issn="1755-1315"
}