Skip to main content
Log in

Experimental determination of the speed of sound in cavitating flows

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

This paper presents measurements of the speed of sound in two-phase flows characterized by high void fraction. The main objective of the work is the characterization of wave propagation in cavitating flows. The experimental determination of the speed of sound is derived from measurements performed with three pressure transducers, while the void fraction is obtained from analysis of a signal obtained with an optical probe. Experiments are first conducted in air/water mixtures, for a void fraction varying in the range 0–11%, in order to discuss and validate the methods of measurement and analysis. These results are compared to existing theoretical models, and a nice agreement is obtained. Then, the methods are applied to various cavitating flows. The evolution of the speed of sound according to the void fraction α is determined for α varying in the range 0–55%. In this second configuration, the effect of the Mach number is included in the spectral analysis of the pressure transducers’ signals, in order to take into account the possible high flow compressibility. The experimental data are compared to existing theoretical models, and the results are then discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23

Similar content being viewed by others

References

  • Abom M, Boden H (1988) Error analysis of two microphones measurements in ducts with flow. J Am Acoust Soc 2429–2438

  • Arndt REA, Song CCS, Kjeldsen M, He J, Keller A (2000) Instability of partial cavitation: a numerical/experimental approach. In: Proceedings of 23rd symposium on naval hydrodynamics, Val de Reuil, France

  • Bolpaire S (2000) Etude des écoulements instationnaires dans une pompe en régime de démarrage ou en régime établi. PhD Dissertation ENSAM, July 2000

  • Brennen CE (2005) Fundamentals of multiphase flows. Cambridge University Press

  • Costigan G, Whalley PB (1997) Measurements of the speed of sound in air-water flows. Chem Eng J 66:131–135

    Article  Google Scholar 

  • Coutier-Delgosha O, Reboud JL, Delannoy Y (2003) Numerical simulation of unsteady cavitating flow. Int J Numer Methods Fluids 42(5):527–548

    MATH  Google Scholar 

  • Delannoy Y, Kueny J-L (1990) Two-phase flow approach in unsteady cavitation modelling. Cavitation and multiphase flow forum, ASME-FED vol 98, pp 153–158

  • Gabillet C, Colin C, Fabre J (2002) Experimental study of bubble injection in a turbulent boundary layer. Int J Multiph Flow 28:553–578

    Article  MATH  Google Scholar 

  • Gouse SW, Brown GA (1964) A survey of the velocity of sound in two-phase mixtures. ASME Paper 64-WA/FE-35

  • Henry RE, Grolmes MA, Fauske HK (1971) Pressure pulse propagation in two-phase one- and two-component mixtures. Argonne National Laboratory, Rep. 7792

  • Jakobsen JK (1964) On the mechanism of head breakdown in cavitating inducers. J Basic Eng Trans ASME 291–305

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

    Google Scholar 

  • Margolis DL, Brown FT (1976) Measurement of the propagation of long-wavelength disturbances trough turbulent flow in tubes. J Fluids Eng 70–78

  • Merkle CL, Feng J, Buelow PEO (1998) Computational modelling of the dynamics of sheet cavitation. In: Michel J-M, Kato H (eds) Proceedings of 3rd International Symposium on Cavitation, vol 2, pp 307–314

  • Miles JH (1981) Acoustic transmission matrix of a variable area duct or nozzle carrying a compressible subsonic flow. J Acoust Soc Am 69(6):1577–1586

    Article  MATH  Google Scholar 

  • Nguyen DL, Winter ERF, Greiner M (1981) Sonic velocity in two-phase systems. Int J Multiph Flow 7:311–320

    Article  Google Scholar 

  • Stutz B, Reboud J-L (1997) Experiment on unsteady cavitation. Exp Fluids 22:191–198

    Article  Google Scholar 

  • Stutz B, Reboud J-L (2000) Measurements within unsteady cavitation. Exp Fluids 29:545–552

    Article  Google Scholar 

  • Testud P, Moussou P, Hirschberg A, Aurégan Y (2007) Noise generated by cavitating single-hole and multi-hole orifices in a water pipe. J Fluids Struct 23:163–189

    Article  Google Scholar 

  • Wallis GB (1969) One-dimensional two-phase flow. McGraw-Hill

  • Wylie EB, Streeter VL (1978) Fluid transients. McGraw-Hill, New York

    Google Scholar 

Download references

Acknowledgments

The authors are very grateful to EDF and CETIM for their financial support of the present work, in the frame of French Industry Research Consortium for Turbomachinery (CIRT). They also express their gratitude to the technical staff of Arts et Metiers ParisTech, especially J. Choquet and P. Olivier, for their assistance.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hiva Shamsborhan.

Electronic supplementary material

Below is the link to the electronic supplementary material.

(PDF 1,560 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shamsborhan, H., Coutier-Delgosha, O., Caignaert, G. et al. Experimental determination of the speed of sound in cavitating flows. Exp Fluids 49, 1359–1373 (2010). https://doi.org/10.1007/s00348-010-0880-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-010-0880-6

Keywords

Navigation