Skip to main content
SpringerLink
Log in

Effect of compressibility on bubbly cavitating flows

  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

Cavitating bubbly flows can form in separated flows and shear layers leading to local regions high vapor void fraction, and these flows often exhibit periodic shedding of vaporous clouds. Historically, the presence of a liquid re-entrant flow, driven by the kinematics of liquid flow stagnation, has been identified as an important mechanism leading to cavity shedding. However, high local vapor void fractions can also result in a reduced mixture speed of sound and a possible supersonic flow. Our recent findings on different geometries indicate that propagating bubbly shocks in these flows are a primary mechanism of flow instability. In this study, we discuss the effect of compressibility on four geometries, mainly in the generation of propagating bubbly shocks that can influence the cavitation shedding dynamics. In order to elucidate the differences and similarities of the observed cavitation dynamics, and the influence of compressibility, we report observations from a backward facing step, backward facing wedge, NACA0015 hydrofoil, and a bluff body with a wedge cross section.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Brennen C. E. Fundamentals of multiphase flow [M]. Cambridge, UK: Cambridge University Press, 2005.

    Book  Google Scholar 

  2. Crespo A. Sound and shock waves in liquids containing bubbles [J]. Physics of Fluids, 1969, 12(11): 2274–2282.

    Article  Google Scholar 

  3. Crespo A. Theoretical investigation of reflection of ionizing shocks, and theoretical study of sound and shock waves in a two-phase flow [D]. Doctoral Thesis, Pasadena, USA: California Institute of Technology, 1968.

    Google Scholar 

  4. Carstensen E. L., Foldy L. L. Propagation of sound through a liquid containing bubbles [J]. Journal of the Acoustical Society of America, 1947, 19(3): 481–501.

    Article  Google Scholar 

  5. Van Wijngaarden L. One-dimensional flow of liquids containing small gas bubbles [J]. Annual review of fluid Mechanics, 1972, 4(1): 369–396.

    Article  Google Scholar 

  6. Prosperetti A. The speed of sound in a gas-Vapourbubbly liquid [J]. Interface focus, 2015, 5(5): 20150024.

    Article  Google Scholar 

  7. Budich B., Schmidt S. J., Adams N. A. Numerical simulation and analysis of condensation shocks in cavitating flow [J]. Journal of Fluid Mechanics, 2018, 838: 759–813.

    Article  MathSciNet  Google Scholar 

  8. Bhatt M., Mahesh K. Numerical investigation of partial cavitation regimes over a wedge using large eddy simulation [J]. International Journal of Multiphase Flow, 2020, 122: 103155.

    Article  MathSciNet  Google Scholar 

  9. Ganesh H., Mäkiharju S. A., Ceccio S. L. Bubbly shock propagation as a mechanism for sheet-to-cloud transition of partial cavities [J]. Journal of Fluid Mechanics, 2016, 802: 37–78.

    Article  MathSciNet  Google Scholar 

  10. Ganesh H. Bubbly shock propagation as a cause of sheet to cloud transition of partial cavitation and stationary cavitation bubbles forming on a delta wing vortex [D]. Doctoral Thesis, Ann Arbor, USA: University of Michigan, 2015.

    Google Scholar 

  11. Wu J., Ganesh H., Ceccio S. Multimodal partial cavity shedding on a two-dimensional hydrofoil and its relation to the presence of bubbly shocks [J]. Experiments in Fluids, 2019, 60(4): 66.

    Article  Google Scholar 

  12. Le Q., Franc J., Michel J. et al. Partial cavities: Global behavior and mean pressure distribution [J]. Journal of Fluids Engineering, 1993, 115(2): 243–248.

    Article  Google Scholar 

  13. Callenaere M., Franc J. P., Michel J. M. et al. The cavitation instability induced by the development of a re-entrant jet [J]. Journal of Fluid Mechanics, 2001, 444: 223–256.

    Article  Google Scholar 

  14. Laberteaux K. R., Ceccio S. L. Partial cavity flows. Part 1. Cavities forming on models without spanwise variation [J]. Journal of Fluid Mechanics, 2001, 431: 1–41.

    Article  Google Scholar 

  15. Reisman G. E., Wang Y. C., Brennen C. E. Observations of shock waves in cloud cavitation [J]. Journal of Fluid Mechanics, 1998, 355: 255–283.

    Article  Google Scholar 

  16. Mäkiharju S. A. The dynamics of ventilated partial cavities over a wide range of Reynolds numbers and quantitative 2D X-ray densitometry for multiphase flow [D]. Doctoral Thesis, Ann Arbor, USA: University of Michigan, 2012.

    Google Scholar 

  17. Kjeldsen M., Arndt R. E., Effertz M. Spectral characteristics of sheet/cloud cavitation [J]. Journal of Fluids Engineering, 2000, 122(3): 481–487.

    Article  Google Scholar 

  18. Arndt R. E., Song C. C. S., Kjeldsen M. et al. Instability of partial cavitation: A numerical/experimental approach [C]. The Twenty-Third Symposium on Naval Hydrodynamics, Val de Reuil, France, 2000, 1–16.

    Google Scholar 

  19. Kravtsova A. Y., Markovich D. M., Pervunin K. S. et al. High-speed visualization and PIV measurements of cavitating flows around a semi-circular leading-edge flat plate and NACA0015 hydrofoil [J]. International Journal of Multiphase Flow, 2014, 60: 119–134.

    Article  Google Scholar 

  20. Wu J. Bubbly shocks in separated cavitating flows [D]. Doctoral Thesis, Ann Arbor, USA: University of Michigan, 2019.

    Google Scholar 

  21. Barwey S., Hassanaly M., Raman V. et al. A comparison of experimental-based data driven models for predicting spontaneous cavitation mode switching on a NACA 0015 hydrofoil [C]. 71st Annual Meeting of the APS Division of Fluid Dynamics, Atlanta, Georgia, USA, 2018.

  22. Bhatt A., Wu J., Ganesh H. et al. Spatially resolved X-ray void fraction measurements of a cavitating NACA0015 hydrofoil [C]. The Thirty-Second Symposium on Naval Hydrodynamics, Hamburg, Germany, 2018, 1–14.

  23. Kermeen R. W., Parkin B. R. ncipient cavitation and wake flow behind sharp-edged disks [D]. Doctoral Thesis, Pasadena, USA: California Institute of Technology, 1957.

    Google Scholar 

  24. Young J. O., Holl J. W. Effects of cavitation on periodic wakes behind symmetric wedges [J]. Journal of Basic Engineering, 1966, 88(1): 163–176.

    Article  Google Scholar 

  25. Ramamurthy A. S., Bhaskaran P. Constrained flow past cavitating bluff bodies [J]. Journal of Fluids Engineering, 1977, 99(4): 717–726.

    Article  Google Scholar 

  26. Balachandar R., Ramamurthy A. S. Wake and cavitation characteristics of equilateral prisms at incidence [J]. Journal of Fluids and Structures, 1992, 6(6): 671–680.

    Article  Google Scholar 

  27. Belahadji B., Franc J. P., Michel J. M. Cavitation in the rotational structures of a turbulent wake [J]. Journal of Fluid Mechanics, 1995, 287: 383–403.

    Article  Google Scholar 

  28. Gnanaskandan A., Mahesh K. Numerical investigation of near-wake characteristics of cavitating flow over a circular cylinder [J]. Journal of Fluid Mechanics, 2016, 790: 453–491.

    Article  MathSciNet  Google Scholar 

  29. Ganesh H., Deijlen L., Bhatt A. et al. Cavitation dynamics in wakes of bluff bodies [C]. The Thirty-Second Symposium on Naval Hydrodynamics, Hamburg, Germany, 2018, 1–14.

  30. Nakagawa T. Vortex shedding from eight prisms having different cross-sections but a common height in transonic flows [J]. Acta Mechanica, 1995, 111(3–4): 151–159.

    Article  Google Scholar 

  31. Nash J. F., Quincey V. G., Callinan J. Experiments on two-dimensional base flow at subsonic and transonic speeds [M]. London, UK: Her Majesty’s Stationery Office, 1963.

    Google Scholar 

  32. Humble R. A., Scarano F., Van Oudheusden B. W. Unsteady flow organization of compressible planar base flows [J]. Physics of Fluids, 2007, 19(7): 076101.

    Article  Google Scholar 

Download references

Acknowledgement

This work was supported by the Office of Naval Research (Grant No. N00014-18-1-2699), under program manager Dr. Ki-Han Kim.

Author information

Authors and Affiliations

  1. Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, Michigan, USA

    Harish Ganesh, Anubhav Bhatt, Juliana Wu & Steven Ceccio

Authors
  1. Harish Ganesh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anubhav Bhatt
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Juliana Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Steven Ceccio
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Steven Ceccio.

Additional information

Biography: Harish Ganesh (1983-), Male, Ph. D., Assistant Research Scientist

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ganesh, H., Bhatt, A., Wu, J. et al. Effect of compressibility on bubbly cavitating flows. J Hydrodyn 32, 1–5 (2020). https://doi.org/10.1007/s42241-020-0001-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42241-020-0001-9

Key words

Search

Navigation