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Analysis of cavitating flow structure by experimental and numerical investigations

  • O. COUTIER-DELGOSHA (a1), B. STUTZ (a2), A. VABRE (a3) and S. LEGOUPIL (a3)
Abstract

The unsteady structure of cavitating flows is investigated by coupled experimental and numerical means. Experiments focus on the structure and dynamics of sheet cavitation on the upper side of a two-dimensional foil section in the ENSTA cavitation tunnel. Various flow conditions are investigated by varying the pressure, the flow velocity, and the incidence of the foil section. High-frequency local measurements of volume fractions of the vapour phase are performed inside the liquid/vapour mixture by a X-ray absorption method. The numerical approach is based on a macroscopic formulation of the balance equations for a two-phase flow. The assumptions required by this formulation are detailed and they are shown to be common to almost all the models used to simulate cavitating flows. In the present case we apply a single-fluid model associated with a barotropic state law that governs the mixture density evolution. Numerical simulations are performed at the experimental conditions and the results are compared to the experimental data. A reliable agreement is obtained for the internal structure of the cavity for incidence varying between 3° and 6°. Special attention is paid to the mechanisms of partial and transitional instabilities, and to the effects of the interaction between the two sides of the foil section.

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W. Yuan & G. H. Schnerr 2003 Numerical simulation of two-phase flow in injection nozzles: interaction of cavitation and external jet formation. J. Fluids Engng 125, 963969.

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O. Coutier-Delgosha Y. Courtot F. Joussellin & J.-L. Reboud 2004 Numerical simulation of the unsteady cavitation behavior of an inducer blade cascade. AIAA J. 42 (3), 560569.

O. Coutier-Delgosha J.-F. Devillers T. Pichon A. Vabre R. Woo & S. Legoupil 2006 Internal structure and dynamics of sheet cavitation. Phys. Fluids 18 (1), 017103.

D. A. Drew 1983 Mathematical modeling of two-phase flows. Annu. Rev. Fluid Mech. 15, 261291.

S. Gopalan & J. Katz 2000 Flow structure and modeling issues in the closure region of attached cavitation. Phys. Fluids 12, 895911.

A. Kubota , H. Kato & H. Yamaguchi 1992 A new modelling of cavitating flows: a numerical study of unsteady cavitation on a hydrofoil section, J. Fluid Mech. 240, 5996.

R. F. Kunz , D. A. Boger , D. R. Stinebring , T. S. Chyczewski J. W. Lindau H. J. Gibeling S. Venkateswaran & T. R. Govindan 2000 A preconditioned implicit method for two-phase flows with application to cavitation prediction. Computers Fluids 29 8, 849875.

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B. Stutz & S. Legoupil 2003 X-ray Measurements within unsteady cavitation. Exps. Fluids 35 2, 130138.

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B. Stutz & J.-L. Reboud 2000 Measurements within unsteady cavitation. Exps. Fluids 29, 545552.

Y. Tsujimoto , K. Kamijo & Y. Yoshida 1993 A theoretical analysis of rotating cavitation inducers''. J. Fluids Engng 115, 135141.

S. Watanabe , Y. Tsujimoto & A. Furukawa 2001 Theoretical analysis of transitional and partial cavity instabilities. J. Fluids Engng 123, 692697.

Y. S. Wei & R. J. Sadus 2000 Equations of state for the calculation of fluid-phase equilibria. AIChE J. 46 1, 169196.

J. Wu , G. Wang & W. Shyy 2005 Time-dependent turbulent cavitating flow computations with interfacial transport and filter based models. Intl J. Numer. Meth. Fluids 49 7, 739761.

P.-W. Yu , S. Ceccio & G. Tryggvason 1995 The collapse of a cavitation bubble in shear flows – A numerical study. Phys. Fluids 7 11, 26082616.

W. Yuan & G. H. Schnerr 2003 Numerical simulation of two-phase flow in injection nozzles: interaction of cavitation and external jet formation. J. Fluids Engng 125, 963969.

J. Zhu 1991 A low diffusive and oscillation-free convection scheme. Commun. Appl. Numer. Meth. 7, 225232.

M. Callenaere , J.-P. Franc , J.-M. Michel & M. Riondet 2001 The cavitation instability induced by the development of a re-entrant jet. J. Fluid Mech. 444, 223256.

A. Kubota , H. Kato & H. Yamaguchi 1992 A new modelling of cavitating flows: a numerical study of unsteady cavitation on a hydrofoil section, J. Fluid Mech. 240, 5996.

S. Watanabe , Y. Tsujimoto & A. Furukawa 2001 Theoretical analysis of transitional and partial cavity instabilities. J. Fluids Engng 123, 692697.

K. R. Laberteaux & S. L. Ceccio 2001 Partial cavity flows. Part 1. Cavities forming on models without spanwise variation. J. Fluid Mech. 431, 141.

J.-B. Leroux , O. Coutier-Delgosha & J.-A. Astolfi 2005 A joint experimental and numerical analysis of mechanisms associated to unsteady partial cavitation. Phys. Fluids 17 5, 052101.

S. V. Patankar 1981 Numerical Heat Transfer and Fluid Flow. Hemisphere.

T. M. Pham , F. Larrarte & D. H. Fruman 1999 Investigation of unsteady sheet cavitation and cloud cavitation mechanisms. J. Fluids Engng 121, 289296.

B. Stutz & J.-L. Reboud 1997 aExperiments on unsteady cavitation. Exps. Fluids 22, 191198.

B. Stutz & J.-L. Reboud 2000 Measurements within unsteady cavitation. Exps. Fluids 29, 545552.

O. Coutier-Delgosha R. Fortes-Patella & J.-L. Reboud 2002 Simulation of unsteady cavitation with a two-equations turbulence model including compressibility effects. J. Turbulence 3, 058, http:\\jot.iop.org.

O. Coutier-Delgosha J.-F. Devillers T. Pichon A. Vabre R. Woo & S. Legoupil 2006 Internal structure and dynamics of sheet cavitation. Phys. Fluids 18 (1), 017103.

D. A. Drew 1983 Mathematical modeling of two-phase flows. Annu. Rev. Fluid Mech. 15, 261291.

S. Gopalan & J. Katz 2000 Flow structure and modeling issues in the closure region of attached cavitation. Phys. Fluids 12, 895911.

Q. Le , J.-P. Franc & J.-M. Michel 1993 Partial cavities: global behaviour and mean pressure distribution. J. Fluids Engng 115, 243248.

I. Senocak & W. Shyy 2004 aInterfacial dynamics-based modelling of turbulent cavitating flows, Part-1: Model development and steady-state computations. Intl J. Numer. Meth. Fluids 44 9, 975995.

A. K. Singhal , M. M. Athavale , H.-Y. Li & Y. Jiang 2002 Mathematical basis and validation of the full cavitation model. J. Fluids Engng 124 3, 617624.

B. Stutz & J.-L. Reboud 1997 bTwo-phase flow structure of sheet cavitation. Phys. Fluids 9 12, 36783686.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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