Detail publikace
Kolaps válcové kavitujíc oblasti a podmínky pro existenci eliptického tvaru kavitujícího vírového copu
RUDOLF, P. HABÁN, V. POCHYLÝ, F. KOUTNÍK, J. KRÜGER, K.
Český název
Kolaps válcové kavitujíc oblasti a podmínky pro existenci eliptického tvaru kavitujícího vírového copu
Anglický název
Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope
Typ
článek v časopise - ostatní, Jost
Jazyk
en
Originální abstrakt
Conditions for existence of cavitating vortex rope with elliptical cross-section are derived using Lagrangian coordinates. Solution is valid for incompressible inviscid fluid and is based on continuity equation, Euler equation, Laplace equation for stress in shell and polytropic law of ideal gas. Further, collapse of cavitating cylindrical vortex rope under the impact of unsteady outside pressure field has been theoretically investigated. The solution is carried out in Lagrangian coordinates. It is assumed that the particle path is coincident with helix lying on cylindrical surface, which changes its radius according to the volumetric change. Mathematical model is formulated very generally, which enables to input different circumferential velocity profiles.
Český abstrakt
Jsou odvozeny podmínky pro existenci eliptického tvaru kavitujícícho vírového copu s využitím Lagrangeových souřadnic. Řešení , platné pro nestlačitelnou neviskózní kapalinu, je založeno na rovnici kontinuity, Eulerově rovnici a Laplaceově rovnici pro napětí ve válcové skořepině. Dále byl vyšetřován kolaps válcové oblasti vystavené nestacionárnímu tlakovému poli. Řešení je opět provedeno Lagrangeovými souřadnicemi. Výsledek je formulován obecně pro libovolný předpis rychlostního pole. Conditions for existence of cavitating vortex rope with elliptical cross-section are derived using Lagrangian coordinates. Solution is valid for incompressible inviscid fluid and is based on continuity equation, Euler equation, Laplace equation for stress in shell and polytropic law of ideal gas. Further, collapse of cavitating cylindrical vortex rope under the impact of unsteady outside pressure field has been theoretically investigated. The solution is carried out in Lagrangian coordinates. It is assumed that the particle path is coincident with helix lying on cylindrical surface, which changes its radius according to the volumetric change. Mathematical model is formulated very generally, which enables to input different circumferential velocity profiles.
Anglický abstrakt
Conditions for existence of cavitating vortex rope with elliptical cross-section are derived using Lagrangian coordinates. Solution is valid for incompressible inviscid fluid and is based on continuity equation, Euler equation, Laplace equation for stress in shell and polytropic law of ideal gas. Further, collapse of cavitating cylindrical vortex rope under the impact of unsteady outside pressure field has been theoretically investigated. The solution is carried out in Lagrangian coordinates. It is assumed that the particle path is coincident with helix lying on cylindrical surface, which changes its radius according to the volumetric change. Mathematical model is formulated very generally, which enables to input different circumferential velocity profiles.
Klíčová slova česky
kavitující, Rayleigh-Plesset, eliptický, kolaps
Klíčová slova anglicky
cavitating, Rayleigh-Plesset, elliptical, vortex rope, collapse
Rok RIV
2007
Vydáno
24.10.2007
Nakladatel
Politehnica University of Timisoara
Místo
Timisoara
ISSN
1224-6077
Časopis
Scientific Bulletin of the "Politehnica" University of Timisoara
Ročník
52
Číslo
6
Strany od–do
109–118
Počet stran
9
BIBTEX
@article{BUT45367,
author="Pavel {Rudolf} and Vladimír {Habán} and František {Pochylý} and Jiří {Koutník} and Klaus {Krüger},
title="Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope",
journal="Scientific Bulletin of the "Politehnica" University of Timisoara",
year="2007",
volume="52",
number="6",
month="October",
pages="109--118",
publisher="Politehnica University of Timisoara",
address="Timisoara",
issn="1224-6077"
}