Advertisement

Assessment of Erosion Sensitive Areas via Compressible Simulation of Unsteady Cavitating Flows

  • Steffen J. SchmidtEmail author
  • Michael S. Mihatsch
  • Matthias Thalhamer
  • Nikolaus A. Adams
Chapter
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 106)

Abstract

The objective of this paper is the assessment of the numerical predictability of erosive events arising in cavitating flows. First, a numerical method and an efficient thermodynamic model for the simulation of cavitating flows are briefly described. The prediction of typical flow details is evaluated by simulating the 3-D flow around a quasi 2-D NACA hydrofoil. We find that the maximum length of the attached cavity, the Strouhal number, and the average diameter of detached clouds are essentially grid independent. Scale enrichment and enhanced 3-D flow details are observed on refined grids. Even delicate flow features, such as cavitating vortices and irregular 3-D break-up patterns, are reproduced, provided that the spatial resolution is sufficiently high. The simulation of cloud collapses and resulting instantaneous peak pressures is assessed in a second investigation. Here, we analyze the effect of the computational grid resolution with respect to typical collapse characteristics, such as the collapse duration, and the instantaneous maximum pressure within the flow field and at walls. The proposed methodology is confirmed by a third investigation, where an experimental setup to investigate cavitation erosion is simulated, and regions of experimentally observed cavitation damage are compared with numerical predictions of strong collapses. The excellent agreement of numerically predicted collapse positions and experimentally observed damage justifies the proposed methodology.

Keywords

Shock Front Coarse Grid Cavitation Erosion Vapor Volume Cavitating Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Knapp RT, Daily JW, Hammitt FG (1970) Cavitation. McGraw-Hill, New YorkGoogle Scholar
  2. 2.
    Brennen CE (1995) Cavitation and bubble dynamics. Oxford University Press, OxfordGoogle Scholar
  3. 3.
    Franc JP, Michel JM (2004) Fundamentals of cavitation. Springer, New YorkGoogle Scholar
  4. 4.
    Lecoffre Y (1999) Cavitation Bubble Trackers. Balkema, New YorkGoogle Scholar
  5. 5.
    D’Agostino L, Salvetti MV (2007) Fluid dynamics of cavitation and cavitating turbopumps. Springer, New YorkGoogle Scholar
  6. 6.
    Lauterborn W (1980) Cavitation and inhomogeneities in underwater acoustics. Springer, BerlinGoogle Scholar
  7. 7.
    Kendrinskii VK (2005) Hydrodynamics of explosion. Springer, BerlinGoogle Scholar
  8. 8.
    Gullbrand J, Chow FK (2003) The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering. J Fluid Mech 495:323–341Google Scholar
  9. 9.
    Garnier E, Adams N, Sagaut P (2009) Large eddy simulation for compressible flows. Springer, BerlinGoogle Scholar
  10. 10.
    Hickel S, Mihatsch M, Schmidt SJ (2011) Implicit large eddy simulation of cavitation in micro channel flows. In: Proceedings of WIMRC cavitation forum 2011, Warwick, UK, e-publication, 4–6 July 2011Google Scholar
  11. 11.
    Schnerr GH, Sezal IH, Schmidt SJ (2008) Numerical investigation of three-dimensional cloud cavitation with special emphasis on collapse induced shock dynamics. Phys Fluids 20(4):040703CrossRefGoogle Scholar
  12. 12.
    Schmidt SJ, Sezal IH, Schnerr GH, Thalhamer M (2008) Riemann Techniques for the Simulation of Compressible Liquid Flows with Phase-transition at all Mach numbers—Shock and Wave Dynamics in Cavitating 3-D Micro and Macro Systems. In: 46th AIAA Aerospace Sciences Meeting and Exhibit, 7–10 January 2008, Reno, Nevada, AIAA paper 2008–1238Google Scholar
  13. 13.
    Grinstein FF, Margolin LG, Rider WJ (2007) Implicit large eddy simulation: computing turbulent fluid dynamics. Cambridge University Press, NewYorkGoogle Scholar
  14. 14.
    Jiang GS, Shu CW (1996) Efficient implementation of weighted ENO schemes. J Comput Phys,126:202–228 Google Scholar
  15. 15.
    Toro EF (1999) Riemann solvers and numerical methods for fluid dynamics. Springer, BerlinGoogle Scholar
  16. 16.
    Kennedy CA, Carpenter MH, Lewis RM (2000) Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Appl Numer Math 35:177–219Google Scholar
  17. 17.
    The International Association for the Properties of Water and Steam. http://www.iapws.org/
  18. 18.
    Hirschfelder JO, Curtiss CF, Bird RB (1954) Molecular theory of gases and liquids. Wiley, New YorkGoogle Scholar
  19. 19.
    Moran MJ, Shapiro HN, Boettner DD, Bailey MB (2011) Fundamentals of engineering thermodynamics. Wiley, New JerseyGoogle Scholar
  20. 20.
    Menikoff R, Plohr BJ (1989) The riemann problem for fluid flow of real materials. Rev Mod Phys 61:75–130Google Scholar
  21. 21.
    Trevena DH (1984) Cavitation and the generation of tension in liquids. J Phys D 17:2139–2164Google Scholar
  22. 22.
    Andersen A, Mørch KA (2011) In situ measurement of the tensile strength of water. In: Proceedings of WIMRC cavitation forum 2011, Warwick, UK, e-publication, 4–6 July 2011Google Scholar
  23. 23.
    Schmidt SJ, Thalhamer M, Schnerr GH (2009) Inertia controlled instability and small scale structures of sheet and cloud cavitation. In: Proceedings of 7th CAV 2009—7th international symposium on cavitation, Ann Arbor, Michigan, USA, 16.8–21.8.2009, paper 17, CD-ROM publicationGoogle Scholar
  24. 24.
    Witham GB (1999) Linear and nonlinear waves. Wiley, New JerseyGoogle Scholar
  25. 25.
    Schmidt SJ, Mihatsch M, Thalhamer M, Adams NA (2011) Assessment of the prediction capability of a thermodynamic cavitation model for the collapse characteristics of a vapor-bubble cloud. In: Proceedings of WIMRC cavitation forum 2011, Warwick, UK, e-publication, 4–6 July 2011Google Scholar
  26. 26.
    Franc JP, Riondet M (2006) Incubation time and cavitation erosion rate of work-hardening materials. In: Proceedings of CAV2006—6th international symposium on cavitation, Wageningen, The Netherlands, 11–15 September 2006, CD-ROM publicationGoogle Scholar
  27. 27.
    Franc JP, Riondet M, Karimi A, Chahine GL (2011) Impact load measurement in erosive cavitating flow. J Fluids Eng 133:121301–121303Google Scholar
  28. 28.
    Mihatsch M, Schmidt SJ, Thalhamer M, Adams NA (2011) Numerical prediction of erosive collapse events in unsteady compressible cavitating flows. In: Proceedings of marine 2011, International conference on computational methods in marine engineering, Barcelona, 2011Google Scholar
  29. 29.
    Reisman GE, Wang YC, Brennen CE (1998) Observations of shock waves in cloud cavitation. J Fluid Mech 355:255–283Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Steffen J. Schmidt
    • 1
    Email author
  • Michael S. Mihatsch
    • 1
  • Matthias Thalhamer
    • 1
  • Nikolaus A. Adams
    • 1
  1. 1.Institute of Aerodynamics and Fluid MechanicsTechnische Universität MünchenMunichGermany

Personalised recommendations