Numerical and experimental evaluation of cavitation flow around axisymmetric cavitators

Abstract

The primary objective of this research is to study the cavitating effects of fluid flow past different axisymmetric cavitator in the upper sub-critical flow regime, which corresponds to the Reynolds number (2 × 104 to 2 × 105). Experiments are conducted in a water tunnel with a fluid flow velocity of 30 to 60 m/s at a constant rate of injection. The commercial software tool, ANSYS Fluent 18.1, is used to simplify three dimensional Reynolds averaged Navier Stokes equation with the compressible fluid flow by considering the pressure-based solver with standard K- ω turbulence model. The transport equation-based Schnerr and Sauer cavitation model is employed to study the cavitation phenomena. The finite volume discretisation method is implemented to evaluate the cavity length and diameter, respectively. A comparison of the numerical and experimental results shows that the numerical method can predict accurately the shape parameters of the natural cavitation phenomena such as cavity length, cavity diameter, and cavity shape. Results reported that with an increase in velocity, the cavity length and diameter increased to 250 and 20%, respectively. With a decrease in the cavitator angle at constant Reynolds number, the drag coefficient decreases up to 40%. Also, for the 30° cavitator, the drag coefficient rises by 28% when cavitation number is increased from 0.25 to 0.32.

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Abbreviations

A:

Area

D:

Diameter

K:

Surface tension

U:

Flow velocity

P:

Pressure

V:

Vapour

L:

Liquid

G:

Non-condensable gas

Re:

Reynolds number

Fd :

Drag force

Cd :

Drag coefficient

Pc :

Cavitation pressure

\(\sigma\) :

Cavitation number

P :

Flow pressure

Pv :

Vapour pressure

µt :

Turbulent viscosity

µl :

Absolute viscosity

α :

Volume fraction

ρm :

Mixture density

ρ:

Water density

ηo :

Bubble number density

Rb :

Bubble radius

Se :

Evaporation source term

Sc :

Condensation source term

St :

Strouhal number

References

  1. 1.

    R.E. Arndt, Some remarks on hydrofoil cavitation. J. Hydrodyn. 24(3), 305–314 (2012)

    Article  Google Scholar 

  2. 2.

    J. Kandula, G.S. Kumar, B. Bhasker, Experimental analysis on drag coefficient reduction techniques, in 2016 4th international symposium on environmentally friendly energies and applications (EFEA). (IEEE, New York, 2016), pp. 1–5

    Google Scholar 

  3. 3.

    X.W. Luo, B. Ji, Y. Tsujimoto, A review of cavitation in hydraulic machinery. J. Hydrodyn. 28(3), 335–358 (2016)

    Article  Google Scholar 

  4. 4.

    S.K. Gugulothu, Computational modeling on supercavitating flow over axisymmetric cavitators. Ocean Eng. 210, 107515 (2020)

    Article  Google Scholar 

  5. 5.

    J. Kandula, P.U. Sri, P.R. Reddy, S.K. Gugulothu, Numerical and experimental cavitation assessment of near-wake characteristics of hydrodynamic performance characteristics of cavitating flow with and without ultrasonic transducers. Measurement (2020). https://doi.org/10.1016/j.measurement.2020.108591

    Article  Google Scholar 

  6. 6.

    H. Feng, Y. Wan, Z. Fan, Numerical investigation of turbulent cavitating flow in an axial flow pump using a new transport-based model. J. Mech. Sci. Technol. 34(2), 745–756 (2020)

    Article  Google Scholar 

  7. 7.

    P.R. Gogate, A.B. Pandit, Cavitation generation and usage without ultrasound: hydrodynamic cavitation, in Theoretical and experimental sonochemistry involving inorganic systems. (Springer, Dordrecht, 2010), pp. 69–106

    Google Scholar 

  8. 8.

    F. Bai, K.A. Saalbach, L. Wang, J. Twiefel, Investigation of impact loads caused by ultrasonic cavitation bubbles in small gaps. IEEE Access 6, 64622–64629 (2018)

    Article  Google Scholar 

  9. 9.

    G. Mancuso, Experimental and numerical investigation on performance of a swirling jet reactor. Ultrason. Sonochem. 49, 241–248 (2018)

    Article  Google Scholar 

  10. 10.

    B. Huang, S.C. Qiu, X.B. Li, Q. Wu, G.Y. Wang, A review of transient flow structure and unsteady mechanism of cavitating flow. J. Hydrodyn. 31(3), 429–444 (2019)

    Article  Google Scholar 

  11. 11.

    M. Setareh, M. Saffar-Avval, A. Abdullah, Heat transfer enhancement in an annulus under ultrasound field: a numerical and experimental study. Int. Commun. Heat Mass Transfer 114, 104560 (2020)

    Article  Google Scholar 

  12. 12.

    X. Zhang, C. Wang, D.W. Wekesa, Numerical and experimental study of pressure-wave formation around an underwater ventilated vehicle. Eur. J. Mech. B 65, 440–449 (2017)

    Article  Google Scholar 

  13. 13.

    J.B. Carrat, T. Bouvard, R. Fortes-Patella, J.P. Franc, Cavitation aggressiveness on a hydrofoil, in IOP conference series: earth and environmental science, vol. 240, (IOP Publishing, Bristol, 2019), p. 062021

    Google Scholar 

  14. 14.

    R. Subburaj, P. Khandelwal, S. Vengadesan, Numerical study of flow past an elliptic cylinder near a free surface. Phys. Fluids 30(10), 103603 (2018)

    Article  Google Scholar 

  15. 15.

    P. Kumar, D. Chatterjee, S. Bakshi, Experimental investigation of cavitating structures in the near wake of a cylinder. Int. J. Multiph. Flow 89, 207–217 (2017)

    Article  Google Scholar 

  16. 16.

    S.M. Javadpour, S. Farahat, H. Ajam, M. Salari, A.H. Nezhad, Experimental and numerical study of ventilated supercavitation around a cone cavitator. Heat Mass Transf. 53(5), 1491–1502 (2017)

    Article  Google Scholar 

  17. 17.

    Y. Wang, J. Huang, C. Xu, C. Yu, C. Huang, X. Wu, Experimental and numerical study of the cloud cavitating flow around a slender cylinder with a petals-shaped section, in Fluids engineering division summer meeting, vol. 58080, (American Society of Mechanical Engineers, New York, 2017), p. V002T13A004

    Google Scholar 

  18. 18.

    C. Negrato, T. Lloyd, T.O.M. Vanterwisga, G. Vaz, R. Bensow, Numerical study of cavitation on a NACA0015 hydrofoil: solution verification, in Proceedings of VII international conference on computational methods in marine engineering, Nantes, French, (2017)

  19. 19.

    A. Vakil, S.I. Green, Numerical study of two-dimensional circular cylinders in tandem at moderate Reynolds numbers. J. Fluids Eng. (2013). https://doi.org/10.1115/1.4024045

    Article  MATH  Google Scholar 

  20. 20.

    E. Kadivar, M.V. Timoshevskiy, K.S. Pervunin, O. el Moctar, Experimental and numerical study of the cavitation surge passive control around a semi-circular leading-edge flat plate. J. Mar. Sci. Technol. 25(4), 1010–1023 (2020)

    Article  Google Scholar 

  21. 21.

    M. Atlar, Ö. Gören, Effect of turbulence modelling on the computation of the near-wake flow of a circular cylinder. Ocean Eng. 37(4), 387–399 (2010)

    Article  Google Scholar 

  22. 22.

    B. Ye, Y. Wang, C. Huang, J. Huang, Numerical study of the pressure wave-induced shedding mechanism in the cavitating flow around an axisymmetric projectile via a compressible multiphase solver. Ocean Eng. 187, 106179 (2019)

    Article  Google Scholar 

  23. 23.

    H. Djeridi, M. Braza, R. Perrin, G. Harran, E. Cid, S. Cazin, Near-wake turbulence properties around a circular cylinder at high Reynolds number. Flow Turbul. Combust. 71(1–4), 19–34 (2003)

    Article  Google Scholar 

  24. 24.

    A. Gnanaskandan, K. Mahesh, Numerical investigation of near-wake characteristics of cavitating flow over a circular cylinder. J. Fluid Mech. 790, 453–491 (2016)

    MathSciNet  Article  Google Scholar 

  25. 25.

    Q. Qin, C.C. Song, R.E. Arndt, A numerical study of the unsteady turbulent wake behind a cavitating hydrofoil. Bull Am Phys Soc 48(10), 107 (2003)

    Google Scholar 

  26. 26.

    F.L. Brandao, M. Bhatt, K. Mahesh, Numerical study of cavitation regimes in flow over a circular cylinder. J. Fluid Mech. (2020). https://doi.org/10.1017/jfm.2019.971

    MathSciNet  Article  MATH  Google Scholar 

  27. 27.

    E. Ghahramani, S. Jahangir, M. Neuhauser, S. Bourgeois, C. Poelma, R.E. Bensow, Experimental and numerical study of cavitating flow around a surface mounted semi-circular cylinder. Int. J. Multiph. Flow 124, 103191 (2020)

    Article  Google Scholar 

  28. 28.

    Y. Long, X. Long, B. Ji, LES investigation of cavitating flows around a sphere with special emphasis on the cavitation–vortex interactions. Acta Mech. Sin. (2020). https://doi.org/10.1007/s10409-020-01008-4

    MathSciNet  Article  Google Scholar 

  29. 29.

    B. Ji, X.W. Luo, R.E. Arndt, X. Peng, Y. Wu, Large eddy simulation and theoretical investigations of the transient cavitating vortical flow structure around a NACA66 hydrofoil. Int. J. Multiph. Flow 68, 121–134 (2015)

    MathSciNet  Article  Google Scholar 

  30. 30.

    B. Ji, X. Luo, R.E. Arndt, Y. Wu, Numerical simulation of three-dimensional cavitation shedding dynamics with special emphasis on cavitation–vortex interaction. Ocean Eng. 87, 64–77 (2014)

    Article  Google Scholar 

  31. 31.

    H. Cheng, X. Long, B. Ji, X. Peng, M. Farhat, A new Euler-Lagrangian cavitation model for tip-vortex cavitation with the effect of non-condensable gas. Int. J. Multiph. Flow 134, 103441 (2020)

    MathSciNet  Article  Google Scholar 

  32. 32.

    H.Y. Cheng, X.R. Bai, X.P. Long, B. Ji, X.X. Peng, M. Farhat, Large eddy simulation of the tip-leakage cavitating flow with an insight on how cavitation influences vorticity and turbulence. Appl. Math. Model. 77, 788–809 (2020)

    MathSciNet  Article  Google Scholar 

  33. 33.

    M. Javadpour, S. Farahat, H. Ajam, M. Salari, A.H. Nezhad, An experimental and numerical study of supercavitating flows tric cavitators. J. Theor. Appl. Mech. 54(3), 795–810 (2016)

    Article  Google Scholar 

  34. 34.

    F. Menter, Zonal two equation kw turbulence models for aerodynamic flows, in 23rd fluid dynamics, plasmadynamics, and lasers conference. (IEEE, New York, 1993), p. 2906

    Google Scholar 

  35. 35.

    J.I. Bin, X.W. Luo, X.X. Peng, Y. Zhang, Y.L. Wu, H.Y. Xu, Numerical investigation of the ventilated cavitating flow around an under-water vehicle based on a three-component cavitation model. J. Hydrodyn. B 22(6), 753–759 (2010)

    Article  Google Scholar 

  36. 36.

    Z.R. Li, M. Pourquie, T.J. Van Terwisga, A numerical study of steady and unsteady cavitation on a 2d hydrofoil. J. Hydrodyn. 22(1), 728–735 (2010)

    Article  Google Scholar 

  37. 37.

    J.J. Zhou, K.P. Yu, J.X. Min, Y. Ming, The comparative study of ventilated super cavity shape in water tunnel and infinite flow field. J. Hydrodyn. B 22(5), 689–696 (2010)

    Article  Google Scholar 

  38. 38.

    R.F. Kunz, D.A. Boger, T.S. Chyczewski, D. Stinebring, H. Gibeling, T. Govindan, Multi-phase CFD analysis of natural and ventilated cavitation about submerged bodies, in Proceedings of the 3rd ASME-JSME joint fluids engineering conference (1999)

  39. 39.

    C.L. Merkle, Computational modelling of the dynamics of sheet cavitation, in Proc. of the 3rd int symp on cavitation, Grenoble, France, (1998)

  40. 40.

    A.K. Singhal, M.M. Athavale, H. Li, Y. Jiang, Mathematical basis and validation of the full cavitation model. J. Fluids Eng. 124(3), 617–624 (2002)

    Article  Google Scholar 

  41. 41.

    B. Ji, Y. Long, X.P. Long, Z.D. Qian, J.J. Zhou, Large eddy simulation of turbulent attached cavitating flow with special emphasis on large scale structures of the hydrofoil wake and turbulence-cavitation interactions. J. Hydrodyn. 29(1), 27–39 (2017)

    Article  Google Scholar 

  42. 42.

    G.H. Schnerr, J. Sauer, Physical and numerical modeling of unsteady cavitation dynamics, in Fourth international conference on multiphase flow, vol. 1, (ICMF, New Orleans, 2001)

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Kandula, J., Sri, P.U., Reddy, P.R. et al. Numerical and experimental evaluation of cavitation flow around axisymmetric cavitators. Mar Syst Ocean Technol (2021). https://doi.org/10.1007/s40868-021-00097-5

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Keywords

  • Wake cavitation
  • Conical body
  • Finite volume method
  • Drag coefficient and cavity length