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"
}