Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation

Arjen Koop, Harry Hoeijmakers

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Abstract

The shedding of a sheet cavity is governed by the direction and momentum of re-entrant and side-entrant jets and their impingement on the free surface of the cavity. Therefore, for an accurate prediction of the shedding of the sheet cavity it is important to predict the reentrant and side-entrant jets accurately. It appears that these jets are inertia driven suggesting that a numerical method based on the Euler equations is able to capture the phenomena associated with unsteady sheet cavitation. Due to the dynamics of sheet cavitation, strong pressure pulses are generated, originating from the collapse of shed vapor structures. To be able to predict the dynamics of the pressure waves the fluid is considered as a compressible medium by adopting appropriate equations of state for the liquid phase, the two-phase mixture and the vapor phase of the fluid. In this paper a computational method for solving the compressible unsteady Euler equations on unstructured grids is employed to predict the structure and dynamics of threedimensional unsteady sheet cavitation occurring on stationary hydrofoils, placed in a steady uniform flow. In the two-phase flow region an equilibrium cavitation model is employed, which assumes local thermodynamic and mechanical equilibrium. In this model the phase transition does not depend on empirical constants to be specified. The three-dimensional unsteady cavitating flow about a threedimensional hydrofoil (Twist11) is calculated. It is shown that the formation of the re-entrant flow and a cavitating horseshoe vortex are captured by the present numerical method. The calculated results agree reasonably well with experimental observations. Furthermore, it is demonstrated that the collapse of the shed vapor structures and the resulting high pressure pulses are captured in the numerical simulations.
Original languageEnglish
Title of host publicationProceedings of the 7th International Symposium on Cavitation, CAV2009
Subtitle of host publicationAugust 17-22, 2009, Ann Arbor, Michigan, USA
PublisherCurran Associates Inc
Pages431-443
ISBN (Print)978-1-61782-642-9
Publication statusPublished - 17 Aug 2009
Event7th International Symposium on Cavitation, CAV 2009 - Ann Arbor, United States
Duration: 17 Aug 200922 Aug 2009
Conference number: 7

Conference

Conference7th International Symposium on Cavitation, CAV 2009
Abbreviated titleCAV
CountryUnited States
CityAnn Arbor
Period17/08/0922/08/09

Fingerprint

cavitation flow
hydrofoils
sheds
pressure pulses
simulation
cavities
vapors
horseshoe vortices
uniform flow
impingement
fluids
unsteady flow
local thermodynamic equilibrium
two phase flow
elastic waves
inertia
liquid phases
equations of state
vapor phases
momentum

Keywords

  • METIS-264769

Cite this

Koop, A., & Hoeijmakers, H. (2009). Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. In Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA (pp. 431-443). Curran Associates Inc.
Koop, Arjen ; Hoeijmakers, Harry. / Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA. Curran Associates Inc, 2009. pp. 431-443
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Koop, A & Hoeijmakers, H 2009, Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. in Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA. Curran Associates Inc, pp. 431-443, 7th International Symposium on Cavitation, CAV 2009, Ann Arbor, United States, 17/08/09.

Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. / Koop, Arjen; Hoeijmakers, Harry.

Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA. Curran Associates Inc, 2009. p. 431-443.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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T1 - Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation

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AU - Hoeijmakers, Harry

PY - 2009/8/17

Y1 - 2009/8/17

N2 - The shedding of a sheet cavity is governed by the direction and momentum of re-entrant and side-entrant jets and their impingement on the free surface of the cavity. Therefore, for an accurate prediction of the shedding of the sheet cavity it is important to predict the reentrant and side-entrant jets accurately. It appears that these jets are inertia driven suggesting that a numerical method based on the Euler equations is able to capture the phenomena associated with unsteady sheet cavitation. Due to the dynamics of sheet cavitation, strong pressure pulses are generated, originating from the collapse of shed vapor structures. To be able to predict the dynamics of the pressure waves the fluid is considered as a compressible medium by adopting appropriate equations of state for the liquid phase, the two-phase mixture and the vapor phase of the fluid. In this paper a computational method for solving the compressible unsteady Euler equations on unstructured grids is employed to predict the structure and dynamics of threedimensional unsteady sheet cavitation occurring on stationary hydrofoils, placed in a steady uniform flow. In the two-phase flow region an equilibrium cavitation model is employed, which assumes local thermodynamic and mechanical equilibrium. In this model the phase transition does not depend on empirical constants to be specified. The three-dimensional unsteady cavitating flow about a threedimensional hydrofoil (Twist11) is calculated. It is shown that the formation of the re-entrant flow and a cavitating horseshoe vortex are captured by the present numerical method. The calculated results agree reasonably well with experimental observations. Furthermore, it is demonstrated that the collapse of the shed vapor structures and the resulting high pressure pulses are captured in the numerical simulations.

AB - The shedding of a sheet cavity is governed by the direction and momentum of re-entrant and side-entrant jets and their impingement on the free surface of the cavity. Therefore, for an accurate prediction of the shedding of the sheet cavity it is important to predict the reentrant and side-entrant jets accurately. It appears that these jets are inertia driven suggesting that a numerical method based on the Euler equations is able to capture the phenomena associated with unsteady sheet cavitation. Due to the dynamics of sheet cavitation, strong pressure pulses are generated, originating from the collapse of shed vapor structures. To be able to predict the dynamics of the pressure waves the fluid is considered as a compressible medium by adopting appropriate equations of state for the liquid phase, the two-phase mixture and the vapor phase of the fluid. In this paper a computational method for solving the compressible unsteady Euler equations on unstructured grids is employed to predict the structure and dynamics of threedimensional unsteady sheet cavitation occurring on stationary hydrofoils, placed in a steady uniform flow. In the two-phase flow region an equilibrium cavitation model is employed, which assumes local thermodynamic and mechanical equilibrium. In this model the phase transition does not depend on empirical constants to be specified. The three-dimensional unsteady cavitating flow about a threedimensional hydrofoil (Twist11) is calculated. It is shown that the formation of the re-entrant flow and a cavitating horseshoe vortex are captured by the present numerical method. The calculated results agree reasonably well with experimental observations. Furthermore, it is demonstrated that the collapse of the shed vapor structures and the resulting high pressure pulses are captured in the numerical simulations.

KW - METIS-264769

M3 - Conference contribution

SN - 978-1-61782-642-9

SP - 431

EP - 443

BT - Proceedings of the 7th International Symposium on Cavitation, CAV2009

PB - Curran Associates Inc

ER -

Koop A, Hoeijmakers H. Numerical Simulation of Unsteady Three-Dimensional Sheet Cavitation. In Proceedings of the 7th International Symposium on Cavitation, CAV2009: August 17-22, 2009, Ann Arbor, Michigan, USA. Curran Associates Inc. 2009. p. 431-443