Skip to main content
Log in

Numerical investigation of turbulent cavitating flow in an axial flow pump using a new transport-based model

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

With the aim to enhance the capability of predicting cavitating flows for conventional cavitation models, a developed alternative numerical model was proposed based on an alternative truncated Rayleigh-Plesset equation and the homogeneous flow assumption. Particularly, the effect of vortex on mass transfer was accounted in the formulation of the proposed model. Turbulent cavitating flows under various flow rates in an axial flow pump with a specific speed ns = 692 were computed and compared by the proposed and the Schnerr-Sauer models, for which the experimental results were also presented for guidance. The results show that the cavitation performance predicted by the proposed model agrees better with the experiments than that by the Schnerr-Sauer model. The effect of vortex on mass transfer results in different patterns of the tip leakage vortex (TLV) cavitation near the tip leakage. Further, the solution of the proposed model reveals the corner vortex cavitation, shear layer cavitation and TLV cavita-tion could be integrated into a cloud vapor at critical cavitation number, and the cloud cavity sheds and collapses periodically near trailing edge of blade.

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.

Similar content being viewed by others

Abbreviations

ρ m :

Mass density of the mixture

μ m :

Molecular viscosity

μT:

Turbulent viscosity

Re :

Reynolds number

ρ l :

Density of liquid

ρv:

Density of vapor

α v :

Volume fraction of vapour

μ l :

Liquid dynamic viscosity

μ v :

Vapor dynamic viscosity

Se:

Source term for evaporation

S c :

Source term for condensation

R0 :

Initial bubble radius

R b :

Bubble radius

Γ :

Circulation of vortex

L :

Characteristic length

U :

Free stream velocity

S :

Shear strain rate

s :

Surface tension coefficient

λ :

Filter size

p out :

Pressure at the outlet boundary

p sat :

Saturation pressure

U :

Circular velocity of impeller

n 0 :

Bubble number density

N :

Number of cells

σ :

Cavitation number

Ω:

Vorticity magnitude

i, j, k :

Component

l :

Liquid

v :

Vapor

g :

Gas

m :

Mixture

Reference

  1. M. Murayama, Y. Yoshida and Y. Tsujimoto, Unsteady tip leakage vortex cavitation originating from the tip clearance of an oscillating hydrofoil, Journal of Fluids Engineering, 128 (3) (2006) 421–429.

    Article  Google Scholar 

  2. D. S. Zhang et al., Numerical analysis of unsteady tip leakage vortex cavitation cloud and unstable suction-side-perpendicular cavitating vortices in an axial flow pump, International Journal of Multiphase Flow, 77 (2015) 244–259.

    Article  Google Scholar 

  3. S. Saito et al., Computational cavitation flows at inception and light stages on an axial-flow pump blade and in a cage-guided control valve, Journal of Thermal Science, 16 (4) (2007) 337–345.

    Article  Google Scholar 

  4. K. J. Farrell and M. L. Billet, A correlation of leakage vortex cavitation in axial-flow pumps, Journal of Fluids Engineering, 116 (3) (1994) 551–557.

    Article  Google Scholar 

  5. D. S. Zhang et al., Numerical and experimental investigation of tip leakage vortex trajectory and dynamics in an axial flow pump, Computers & Fluids, 112 (1) (2015) 61–71.

    Article  Google Scholar 

  6. L. Shi, D. S. Zhang and R. J. Zhao, Effect of blade tip geometry on tip leakage vortex dynamics and cavitation pattern in axial-flow pump, Science China Technological Sciences, 60 (10) (2017) 1480–1493.

    Article  Google Scholar 

  7. T. Bonometti and J. Magnaudet, An interface-capturing method for incompressible two-phase flows, Validation and application to bubble dynamics, International Journal of Multiphase Flow, 33 (2) (2007) 109–133.

    Article  Google Scholar 

  8. A. Kubota, H. Kato and H. Yamaguchi, A new modelling of cavitating flows: A numerical study of unsteady cavitation on a hydrofoil section, Journal of Fluid Mechanics, 240 (1992) 59–96.

    Article  Google Scholar 

  9. A. K. Singhal et al., Mathematical basis and validation of the full cavitation model, Journal of Fluids Engineering, 124 (3) (2002) 617–624.

    Article  Google Scholar 

  10. P. J. Zwart, A. G. Gerber and T. Belamri, A two-phase flow model for predicting cavitation dynamics, Fifth International Conference on Multiphase Flow, Yokohama, Japan (2004).

    Google Scholar 

  11. G. H. Schnerr and J. Sauer, Physical and numerical modeling of unsteady cavitation dynamics, Fourth International Conference on Multiphase Flow, New Orleans, USA (2001).

    Google Scholar 

  12. R. F. Kunz et al., A preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction, Computers & Fluids, 29 (8) (2000) 849–875.

    Article  Google Scholar 

  13. C. Kang et al., Cavitation analysis near blade leading edge of an axial-flow pump, International Conference on Measuring Technology & Mechatronics Automation, Zhang Jiajie, China (2009).

    Google Scholar 

  14. R. E. Bensow, Simulation of the unsteady cavitation on the the delft twist 11 foil using RANS, DES and LES, Second International Symposium on Marine Propulsors, Hamburg, Germany (2011).

    Google Scholar 

  15. S. Zhang et al., Numerical investigation of attached cavitating flow in thermo-sensitive fluid with special emphasis on thermal effect and shedding dynamics, International Journal of Hydrogen Energy, 44 (5) (2019) 3170–3184.

    Article  Google Scholar 

  16. C. Habchi, N. Dumont and O. Simonin, Multidimensional simulation of cavitating flows in diesel injectors by a homogeneous mixture modeling approach, Atomization and Sprays, 18 (2) (2008) 129–162.

    Article  Google Scholar 

  17. H. Ding et al., Demonstration and validation of a 3D CFD simulation tool predicting pump performance and cavitation for industrial applications, Journal of Fluids Engineering, 133 (1) (2011) 011101.

    Article  Google Scholar 

  18. Y. Y. and G. Li, Modelling of hydrodynamic cavitating flows considering the bubble-bubble interaction, International Journal of Multiphase Flow, 84 (2016) 155–164.

    Article  MathSciNet  Google Scholar 

  19. Y. X. Wei and G. H. Schnerr, Numerical simulation of two-phase flow in injection nozzles: interaction of cavitation and external jet formation, Journal of Fluids Engineering, 125 (6) (2003) 963–969.

    Article  Google Scholar 

  20. X. J. Li et al., Calculation of cavitation evolution and associated turbulent kinetic energy transport around a NACA66 hydrofoil, Journal of Mechanical Science and Technology, 33 (3) (2019) 1231–1241.

    Article  Google Scholar 

  21. C. E. Brennen, Cavitation and Bubble Dynamics, Cambridge: Cambridge University Press (2013).

    Book  Google Scholar 

  22. A. Asnaghi, A. Feymark and R. E. Bensow, Improvement of cavitation mass transfer modeling based on local flow properties, International Journal of Multiphase Flow, 93 (2017) 142–157.

    Article  MathSciNet  Google Scholar 

  23. A. Žnidarčič, R. Mettin and M. Dular, Modeling cavitation in a rapidly changing pressure field-application to a small ultrasonic horn, Ultrasonics Sonochemistry, 22 (2015) 482–492.

    Article  Google Scholar 

  24. F. Hong, J. P. Yuan and B. L. Zhou, Application of a new cavitation model for computations of unsteady turbulent cavi-tating flows around a hydrofoil, Journal of Mechanical Science and Technology, 31 (1) (2017) 249–260.

    Article  Google Scholar 

  25. A. Kubota et al., Unsteady structure measurement of cloud cavitation on a foil section using conditional sampling technique, Journal of Fluids Engineering, 111 (2) (1989) 204.

    Article  MathSciNet  Google Scholar 

  26. R. E. A. Arndt, Cavitation in vortical flows, Annual Review of Fluid Mechanics, 34 (1) (2002) 143–175.

    Article  MathSciNet  Google Scholar 

  27. B. J. et al., Large eddy simulation and theoretical investigations of the transient cavitating vortical flow structure around a NACA66 hydrofoil, International Journal of Multiphase Flow, 68 (68) (2015) 121–134.

    MathSciNet  Google Scholar 

  28. S. Gopalan and J. Katz, Flow structure and modeling issues in the closure region of attached cavitation, Physics of Fluids, 12 (4) (2000) 895–911.

    Article  Google Scholar 

  29. G. Chen et al., Combined experimental and computational investigation of cavitation evolution and excited pressure fluctuation in a convergent-divergent channel, International Journal of Multiphase Flow, 72 (2015) 133–140.

    Article  Google Scholar 

  30. B. Huang, Y. Zhao and G. Y. Wang, Large eddy simulation of turbulent vortex-cavitation interactions in transient sheet/cloud cavitating flows, Computers & Fluids, 92 (2014) 113–124.

    Article  Google Scholar 

  31. K. R. Laberteaux et al., High speed digital imaging of cavitat-ing vortices, Experiments in Fluids, 24 (5) (1998) 489–498.

    Article  Google Scholar 

  32. Y. Zhao et al., Numerical analysis of developed tip leakage cavitating flows using a new transport-based model, International Communications in Heat & Mass Transfer, 78 (2016) 39–47.

    Article  Google Scholar 

  33. P. E. Smirnov and F. R. Menter, Sensitization of the SST turbulence model to rotation and curvature by applying the Spalart-Shur correction term, Journal of Turbomachinery, 131 (2009) 041010.

    Article  Google Scholar 

  34. F. Hong et al., Numerical investigation of the turbulent cavitat-ing flow over submerged bodies, International Journal of Fluid Machinery and Systems, 11 (2018) 85–96.

    Article  Google Scholar 

  35. B. Huang et al., Combined experimental and computational investigation of unsteady structure of sheet/cloud cavitation, Journal of Fluids Engineering, 135 (7) (2013) 071301.

    Article  Google Scholar 

  36. O. Coutier-Delgosha, J. L. Reboud and Y. Delannoy, Numerical simulation of the unsteady behaviour of cavitating flows, International Journal for Numerical Methods in Fluids, 42 (5) (2003) 519–530.

    MATH  Google Scholar 

  37. S. T. Johansen, J. W. and W. Shyy, Filter-based unsteady RANS computations, International Journal of Heat and Fluid Flow, 25 (1) (2004) 10–21.

    Article  Google Scholar 

  38. E. Roohi, A. P. Zahiri and M. P. Fard, Numerical simulation of cavitation around a two-dimensional hydrofoil using VOF method and LES turbulence model, Applied Mathematical Modeling, 37 (9) (2013) 6469–6488.

    Article  MathSciNet  Google Scholar 

  39. D. S. Zhang et al., Numerical and experimental investigation of tip leakage vortex cavitation patterns and mechanisms in an axial pump, Journal of Fluids Engineering, 37 (2015) 121103–1.

    Article  Google Scholar 

Download references

Acknowledgments

This work was financially supported by the Natural Science Foundation of Hubei Province (No. 2019CFB193), National Natural Science Foundation of China (No. 51809121) and the Opening Foundation of Hubei Key Laboratory of Hydroelectric Machinery Design & Maintenance (No. 2018KJX06, 2018KJX04, and 2019KJX05).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hong Feng.

Additional information

Recommended by Editor Yang Na

Hong Feng is a staff of the College of Mechanical & Power Engineering, China Three Gorges University, Yichang, China. He received his Ph.D. in Fluid Machinery Engineering and Technology from Jiangsu University, Zhenjiang, China. His research interests include cavitation modelling by advanced methods.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Feng, H., Wan, Y. & Fan, Z. Numerical investigation of turbulent cavitating flow in an axial flow pump using a new transport-based model. J Mech Sci Technol 34, 745–756 (2020). https://doi.org/10.1007/s12206-020-0121-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-020-0121-8

Keywords

Navigation