Publication detail
Stability of Infinitely Long Asymmetrical Vortex Rope
HABÁN, V. RUDOLF, P. POCHYLÝ, F. KOUTNÍK, J. KRÜGER, K.
Czech title
Stabilita nekonečně dlouhého vírového copu
English title
Stability of Infinitely Long Asymmetrical Vortex Rope
Type
journal article - other
Language
en
Original abstract
Eigen value analysis of cavitating vortex rope motion was carried out. Analysis is based on Euler equation, continuity equation and Laplace equation of stress in shell. Instability, which depends on angular velocity of the fluid rotation and radii of vortex rope and draft tube, is judged according to sign of the real part of eigen value. Resulting eigen mode shapes indicate existence of vortex rope shape with elliptical cross-section as was previously documented experimentally.
Czech abstract
V článku je uveden výpočet vlastních hodnot nekonečně dlouhého vírového copu. Jedná se o výpočet Eulerovy rovnice, rovnice kontinuity a Laplacevy rovnice pro napětí na povrchu copu. Nestabilita závisí na úhlové rychlosti kapaliny a poloměru vírového copu.
English abstract
Eigen value analysis of cavitating vortex rope motion was carried out. Analysis is based on Euler equation, continuity equation and Laplace equation of stress in shell. Instability, which depends on angular velocity of the fluid rotation and radii of vortex rope and draft tube, is judged according to sign of the real part of eigen value. Resulting eigen mode shapes indicate existence of vortex rope shape with elliptical cross-section as was previously documented experimentally.
Keywords in Czech
Stabilita, vírový cop, vlastní tvar kmitu
Keywords in English
Stability, vortex rope, perturbation, eigen mode shape
RIV year
2007
Released
26.10.2007
Publisher
Politechnica University of Timisoare
Location
Timisoare
ISSN
1224-6077
Journal
Scientific Bulletin of the "Politehnica" University of Timisoara
Volume
52
Number
6
Pages from–to
101–108
Pages count
8
BIBTEX
@article{BUT43907,
author="Vladimír {Habán} and Pavel {Rudolf} and František {Pochylý} and Jiří {Koutník} and Klaus {Krüger},
title="Stability of Infinitely Long Asymmetrical Vortex Rope",
journal="Scientific Bulletin of the "Politehnica" University of Timisoara",
year="2007",
volume="52",
number="6",
month="October",
pages="101--108",
publisher="Politechnica University of Timisoare",
address="Timisoare",
issn="1224-6077"
}