Publication result detail

Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope

RUDOLF, P.; HABÁN, V.; POCHYLÝ, F.; KOUTNÍK, J.; KRÜGER, K.

Original Title

Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope

English Title

Collapse of cylindrical region and conditions for existence of elliptical vortex form of cavitating vortex rope

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

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.

English abstract

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.

Keywords

cavitating, Rayleigh-Plesset, elliptical, vortex rope, collapse

Key words in English

cavitating, Rayleigh-Plesset, elliptical, vortex rope, collapse

Authors

RUDOLF, P.; HABÁN, V.; POCHYLÝ, F.; KOUTNÍK, J.; KRÜGER, K.

Released

24.10.2007

Publisher

Politehnica University of Timisoara

Location

Timisoara

ISBN

1224-6077

Periodical

Scientific Bulletin of the "Politehnica" University of Timisoara

Volume

52

Number

6

State

Romania

Pages from

109

Pages to

118

Pages count

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",
  pages="109--118",
  issn="1224-6077"
}