Detail publikace

Model tlakových pulzací v sací troubě vodní turbíny založený na linerizované Rayleigh-Plessetově rovnici

RUDOLF, P. POCHYLÝ, F. HABÁN, V.

Český název

Model tlakových pulzací v sací troubě vodní turbíny založený na linerizované Rayleigh-Plessetově rovnici

Anglický název

Model of Pressure Pulsations in Hydraulic Turbine Draft Tube Based on Linearized

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

en

Originální abstrakt

Vortex rope appears in hydraulic turbine draft tube for partial load operation. This rope can, for certain sigma values, cavitate and contain saturated water vapour. Cavitating vortex rope is cause of pressure pulsations and effects dynamics of the whole turbine unit. Time behaviour of the spherical cavitating bubble is described by well-known Rayleigh-Plesset equation. This contribution presents derivation of the Rayleigh-Plesset equation for infinitely long cylindrical cavity imitating vortex rope. Linearized form of this equation accompanied by continuity equation and force equillibrium equation create basis for transfer matrix of the draft tube with cavitating vortex rope. Paper discusses ideas, steps of the derivation, but also necessary assumptions and simplifications leading to this new model. The final transfer matrix includes effect of the vortex rope volume change and can be included into the system of transfer matrices describing behaviour of the turbine unit with penstock.

Český abstrakt

Pro jisté hodnoty čísla sigma se objevuje v sací troubě kavitující vírový cop, který způsobuje tlakové pulzace a ovlivňuje dynamiku stroje. Je odvozena Rayleigh-Plessetova rovnice pro válcový kavitující vírový cop. Rovnice je posléze linearizována a vytvořena přenosová matice sací trouby s kavitujícím vírovým copem. Tato matice může být začleněna do systému přenosových matic celého soustrojí.

Anglický abstrakt

Vortex rope appears in hydraulic turbine draft tube for partial load operation. This rope can, for certain sigma values, cavitate and contain saturated water vapour. Cavitating vortex rope is cause of pressure pulsations and effects dynamics of the whole turbine unit. Time behaviour of the spherical cavitating bubble is described by well-known Rayleigh-Plesset equation. This contribution presents derivation of the Rayleigh-Plesset equation for infinitely long cylindrical cavity imitating vortex rope. Linearized form of this equation accompanied by continuity equation and force equillibrium equation create basis for transfer matrix of the draft tube with cavitating vortex rope. Paper discusses ideas, steps of the derivation, but also necessary assumptions and simplifications leading to this new model. The final transfer matrix includes effect of the vortex rope volume change and can be included into the system of transfer matrices describing behaviour of the turbine unit with penstock.

Klíčová slova anglicky

draft tube problems, machine dynamics behaviour

Rok RIV

2006

Vydáno

28.06.2006

Nakladatel

UPC Barcelona

Místo

Barcelona (Spain)

Kniha

Proceeding of Abstracts IAHR Int. Meeting of the Work Group on Cavitation and Dynamics Problems in Hydraulic Machinery and Systems.

Počet stran

45

BIBTEX


@inproceedings{BUT24555,
  author="Pavel {Rudolf} and František {Pochylý} and Vladimír {Habán},
  title="Model of Pressure Pulsations in Hydraulic Turbine Draft Tube Based on Linearized",
  booktitle="Proceeding of Abstracts IAHR Int. Meeting of the Work Group on Cavitation and Dynamics Problems in Hydraulic Machinery and Systems.",
  year="2006",
  month="June",
  publisher="UPC Barcelona",
  address="Barcelona (Spain)"
}