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Large eddy simulation of cloud cavitation and wake vortex cavitation around a trailing-truncated hydrofoil

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Abstract

The cavitation has received considerable attention for decades because of its negative influence on the performance and the safety of the hydraulic machinery. In this study, a large eddy simulation is carried out to numerically investigate the unsteady cavitating flow around a trailing-truncated NACA 0009 hydrofoil for determining the underlying physical mechanisms. Two types of cavitation morphologies are identified: The large-scale bubble cluster and the von Kármán vortex cavity, named as the cloud cavitation and the wake vortex cavitation, respectively. It is shown that the velocity profiles obtained over the hydrofoil suction surface are in good agreement with the experimental data, indicating the accuracy of the current simulation. The dynamic evolution of the sheet/cloud cavity is also well reproduced, covering the sheet cavity breakup, the sheet/cloud transformation, and the collapse of the cloudy bubble cluster. The wake-vortex cavitation is caused by the blunt geometry at the hydrofoil trailing edge, where pairs of vortex cavities are induced. Both the cloud and vortex cavities significantly affect the lift oscillation, which makes it difficult to decompose the components. The fundamental shedding mechanisms of the wake vortex cavitation are discussed based on the finite-time Lyapunov exponent field. Specifically, the suction-side bubble grows and squeezes the giant pressure bubble away from the trailing edge. After the pressure bubble detaches, a new counterclockwise vortex or a new bubble appears at the pressure side, thus lifting the ridge towards the suction trailing edge and generating a strong vortex eye that pinches off the trailing portion of the suction-side bubble.

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References

  1. Tran C. T., Long X. P., Ji B. et al. Prediction of the precessing vortex core in the Francis-99 draft tube under off-design conditions by using Liutex/Rortex method [J]. Journal of Hydrodynamics, 2020, 32(3): 623–628.

    Article  Google Scholar 

  2. Zhang G. J., Khlifa I., Fezzaa K. et al. Experimental investigation of internal two-phase flow structures and dynamics of quasi-stable sheet cavitation by fast synchrotron x-ray imaging [J]. Physics of Fluids, 2020, 32(11): 113310.

    Article  Google Scholar 

  3. Franc J. P., Michel J. M. Fundamentals of cavitation [M]. Berlin, Germany: Springer science and Business media, 2006.

    Google Scholar 

  4. Yin T., Pavesi G. Dynamic responses of pitching hydrofoil in laminar-turbulent transition regime [J]. Journal of Fluids and Structures, 2022, 111: 103544.

    Article  Google Scholar 

  5. Ausoni P., Farhat M., Escaler X. et al. Cavitation influence on von Kármán vortex shedding and induced hydrofoil vibrations [J]. Journal of Fluids Engineering, 2007, 129(8): 966–73.

    Article  Google Scholar 

  6. Ganesh H., Makiharju 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  MATH  Google Scholar 

  7. Wack J., Riedelbauch S. Application of homogeneous and inhomogeneous two-phase models to a cavitating tip leakage vortex on a NACA0009 hydrofoil [C]. Proceedings of the 10th International Symposium on Cavitation, Baltimore, USA, 2018.

    Google Scholar 

  8. Yin T. Y., Pavesi G., Pei J. et al. Numerical investigation on the inhibition mechanisms of unsteady cavitating flow around stepped hydrofoils [J]. Ocean Engineering, 2022, 265: 112540.

    Article  Google Scholar 

  9. Coutier-Delgosha O., Fortes-Patella R., Reboud J. L. et al. Numerical simulation of cavitating flow in 2D and 3D inducer geometries [J]. International Journal for Numerical Methods in Fluids, 2005, 48(2): 135–67.

    Article  MATH  Google Scholar 

  10. Pope S. B. Turbulent flows [M]. Cambridge, UK: Cambridge University Press, 2000.

    Book  MATH  Google Scholar 

  11. Yin T., Pavesi G., Pei J. et al. Numerical investigation of unsteady cavitation around a twisted hydrofoil [J]. International Journal of Multiphase Flow, 2021, 135: 103506.

    Article  MathSciNet  Google Scholar 

  12. 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.

    Article  MathSciNet  MATH  Google Scholar 

  13. Pendar M. R., Roohi E. Cavitation characteristics around a sphere: An LES investigation [J]. International Journal of Multiphase Flow, 2018, 98: 1–23.

    Article  MathSciNet  Google Scholar 

  14. Gnanaskandan A., Mahesh K. Large eddy simulation of the transition from sheet to cloud cavitation over a wedge [J]. International Journal of Multiphase Flow, 2016, 83: 86–102.

    Article  MathSciNet  Google Scholar 

  15. Ji B., Luo X. W., Arndt R. E. et al. Large eddy simulation and theoretical investigations of the transient cavitating vortical flow structure around a NACA66 hydrofoil [J]. International Journal of Multiphase Flow, 2015, 68: 121–34.

    Article  MathSciNet  Google Scholar 

  16. Nicoud F., Ducros F. Subgrid-scale stress modelling based on the square of the velocity gradient tensor [J]. Flow, turbulence and Combustion, 1999, 62(3): 183–200.

    Article  MATH  Google Scholar 

  17. Bensow R. E., Bark G. Simulating cavitating flows with LES in OpenFoam[C]. Proceedings of the 5th European Conference on Computational Fluid Dynamics, Lisbon, Portugal, 2010.

    Google Scholar 

  18. Yin T., Pavesi G., Cavazzini G. et al. Numerical investigation of unsteady cavitating flow around 3D hydrofoils [C]. Proceedings of SHF/AFM Conference on Hydraulic Machines and Cavitation, Sion, Switzerland, 2019.

    Google Scholar 

  19. Peters A. Numerical modelling and prediction of cavitation erosion using Euler-Euler and multi-scale Euler-Lagrange methods [D]. Doctoral Thesis, Duisburg, Essen, Germany: University of Duisburg-Essen, 2020.

    Google Scholar 

  20. Wang C., Wu Q., Huang B. et al. Numerical investigation of cavitation vortex dynamics in unsteady cavitating flow with shock wave propagation [J]. Ocean Engineering, 2018, 156: 424–34.

    Article  Google Scholar 

  21. Long X., Cheng H., Ji B. et al. Numerical investigation of attached cavitation shedding dynamics around the Clark-Y hydrofoil with the FBDCM and an integral method [J]. Ocean Engineering, 2017, 137: 247–261.

    Article  Google Scholar 

  22. Chen Y., Chen X., Li J. et al. Large eddy simulation and investigation on the flow structure of the cascading cavitation shedding regime around 3D twisted hydrofoil [J]. Ocean Engineering, 2017, 129: 1–19.

    Article  Google Scholar 

  23. Cheng H. Y., Bai X. R., Long X. P. et al. Large eddy simulation of the tip-leakage cavitating flow with an insight on how cavitation influences vorticity and turbulence [J]. Applied Mathematical Modelling, 2020, 77: 788–809.

    Article  MathSciNet  MATH  Google Scholar 

  24. Celik I., Cehreli Z., Yavuz I. Index of resolution quality for large eddy simulations [J]. Journal of Fluids Engineering, 2005, 127(5): 949–958.

    Article  Google Scholar 

  25. Benard P., Balarac G., Moureau V. et al. Mesh adaptation for large eddy simulations in complex - geometries [J]. International Journal for Numerical Methods in Fluids, 2016, 81(12): 719–40.

    Article  MathSciNet  Google Scholar 

  26. Aït Bouziad Y. Physical modelling of leading edge cavitation [D]. Doctoral Thesis, Lausanne, Switzerland: Swiss federal Institute of Technology in Lausanne, 2005.

    Google Scholar 

  27. Liu Y., Long J., Wu Q. et al. Data-driven modal decomposition of transient cavitating flow [J]. Physics of Fluids, 2021, 33(11): 113316.

    Article  Google Scholar 

  28. Chen J., Huang B., Liu T. T. et al. Numerical investigation of cavitation-vortex interaction with special emphasis on the multistage shedding process [J]. Applied Mathematical Modelling, 2021, 96: 111–30.

    Article  MathSciNet  MATH  Google Scholar 

  29. Yin T., Pavesi G., Pei J. et al. Lagrangian analysis of unsteady partial cavitating flow around a three-dimensional hydrofoil [J]. Journal of Fluids Engineering, 2021, 143(4): 041202.

    Article  Google Scholar 

  30. Yin T., Pavesi G., Pei J. et al. Numerical analysis of unsteady cloud cavitating flow around a 3D Clark-Y hydrofoil considering end-wall effects [J]. Ocean Engineering, 2021, 219: 108369.

    Article  Google Scholar 

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Acknowledgement

This work was supported by the University of Padua Project of Investigation of Passive Suppression of Unsteady Cloud Cavitation (Grant No. 2020DII142). The authors acknowledge the Italian CINECA for Providing the Computational Resources (Grant No. HP10CZ82QS). Also, the authors gratefully acknowledge Prof. Joel Guerrero’s help during the OpenFOAM training courses at the University of Genoa, Italy.

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Authors and Affiliations

  1. National Research Center of Pumps, Jiangsu University, Zhenjiang, 212013, China

    Ting-yun Yin, Ji Pei, Shou-qi Yuan & Xing-cheng Gan

  2. Department of Industrial Engineering, University of Padua, Padua, Italy

    Ting-yun Yin, Giorgio Pavesi & Xing-cheng Gan

  3. Turbomachinery and Energy Systems Group, University of Padua, Padua, Italy

    Ting-yun Yin, Giorgio Pavesi & Xing-cheng Gan

Authors
  1. Ting-yun Yin
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  2. Giorgio Pavesi
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  3. Ji Pei
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  4. Shou-qi Yuan
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  5. Xing-cheng Gan
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Corresponding author

Correspondence to Giorgio Pavesi.

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 51879121).

Biography: Ting-yun Yin (1993-), Male, Ph. D.

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Yin, Ty., Pavesi, G., Pei, J. et al. Large eddy simulation of cloud cavitation and wake vortex cavitation around a trailing-truncated hydrofoil. J Hydrodyn 34, 893–903 (2022). https://doi.org/10.1007/s42241-022-0073-9

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  • DOI: https://doi.org/10.1007/s42241-022-0073-9

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