Publication detail
Stability of the Steady Flow in Rotationally Symmetrical Domain
POCHYLÝ, F. RUDOLF, P. HABÁN, V. KOUTNÍK, J. KRÜGER, K.
Czech title
Stabilita stacionárního proudění v rotačně symetrické oblasti
English title
Stability of the Steady Flow in Rotationally Symmetrical Domain
Type
journal article - other
Language
en
Original abstract
Perturbation analysis with a linear approach of the flow in cylindrical domain was carried out in this paper. Analysis is based on Euler equations for inviscid fluid and continuity equation in rotating frame of reference. Eigen mode shapes of velocities visualize the flow patterns and eigen mode shapes of the cavitating vortex rope show origin of the elliptical vortex rope cross-section. Investigation confirms that boundary conditions have dominant effect on steady flow stability. Results indicate that careful design of the runner and the draft tube can lead to reduction of the instability consequences or to shifting the instability to different operational ranges.
Czech abstract
Byla provedena analýza stability lineárního problému v rotačně symetrické oblasti, vycházející z Eulerovy rovnice a rovnice kontinuity v rotujícím souřadném systému. Výsledné vlastní tvary kmitu vizualizují vznik eliptického tvaru kavitujícího vírového copu. Analýza potvrdila dominantní vliv okrajových podmínek na stabilitu proudění. Je zřejmé, že vhodný návrh oběžného kola a sací trouby může nestabilitu potlačit nebo ji vymezit do jiné provozní oblasti.
English abstract
Perturbation analysis with a linear approach of the flow in cylindrical domain was carried out in this paper. Analysis is based on Euler equations for inviscid fluid and continuity equation in rotating frame of reference. Eigen mode shapes of velocities visualize the flow patterns and eigen mode shapes of the cavitating vortex rope show origin of the elliptical vortex rope cross-section. Investigation confirms that boundary conditions have dominant effect on steady flow stability. Results indicate that careful design of the runner and the draft tube can lead to reduction of the instability consequences or to shifting the instability to different operational ranges.
Keywords in Czech
vír, stabilita
Keywords in English
Swirl, stability, rotationally symmetrical, eigen value, cylinder, draft tube, elliptical
RIV year
2007
Released
24.10.2007
Publisher
Politechnica University of Timisoara
Location
Timisoara
ISSN
1224-6077
Journal
Scientific Bulletin of the "Politehnica" University of Timisoara
Volume
52
Number
6
Pages from–to
93–100
Pages count
8
BIBTEX
@article{BUT43906,
author="František {Pochylý} and Pavel {Rudolf} and Vladimír {Habán} and Jiří {Koutník} and Klaus {Krüger},
title="Stability of the Steady Flow in Rotationally Symmetrical Domain",
journal="Scientific Bulletin of the "Politehnica" University of Timisoara",
year="2007",
volume="52",
number="6",
month="October",
pages="93--100",
publisher="Politechnica University of Timisoara",
address="Timisoara",
issn="1224-6077"
}