Publication 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.

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

Language

en

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.

Keywords in English

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

Released

2007-10-24

Publisher

Politehnica University of Timisoara

Location

Timisoara

ISSN

1224-6077

Journal

Scientific Bulletin of the "Politehnica" University of Timisoara

Volume

52

Number

6

Pages from–to

109–118

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"
}