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Gap Cavitation in the End Clearance of a Guide Vane of a Hydroturbine: Numerical and Experimental Investigation

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Abstract

The article presents results of numerical and experimental investigation of cavitation flow around two subscale models of guide vanes of hydroturbines, one of which has a simplified geometry, while the other has an approximately real geometry. The emphasis was on studying the fluid flow through the gap between the end surface of the hydrofoil and the channel wall, and also on the onset and development of gap cavitation. In the study we used high-speed imaging to analyze the spatial structure and dynamics of cavities. The two-dimensional flow velocity distributions above the hydrofoil surface were measured by the PIV method. In the numerical simulation of cavitation flows around the vanes we used computational fluid dynamics methods based on the solution of Reynolds equations for turbulent flows by means of the finite volume method on a three-dimensional grid of hexahedral cells. The vapor phase was accounted for by solving the equation of transport of vapor fraction. Turbulence was described by the DES method based on a two-parameter model, k-ω SST. As a result, we compared the calculated profiles of flow velocity in the boundary layer on the low-pressure side of the vane with the measurement results; they were in good agreement. In the experiment and in the numerical simulation cavitating vortex structures were observed along with gap cavitation as a vapor film while the fluid was flowing through a narrow gap. At a small angle of attack the vapor film in the gap forms in the vicinity of the trailing edge of the hydrofoil, and immediately behind its leading edge at large angles of attack. In unsteady flow regimes the gap cavitation dynamics substantially depends of the phase of development of the main cavity on the low-pressure side of the vane decompression.

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References

  1. Escaler, X., Egusquiza, E., Farhat, M., Avellan, F., and Coussirat, M., Detection of Cavitation in Hydraulic Turbines, Mech. Syst. Signal Proc., 2006, vol. 20, pp. 983–1007.

    Article  ADS  Google Scholar 

  2. Lampart, P., Investigation of Endwall Flows and Losses inAxial Turbines, Part I: Formation of Endwall Flows and Losses, J. Theor. Appl. Mech., 2009, vol. 47, no. 2, pp. 321–342.

    MathSciNet  Google Scholar 

  3. Božić, I. and Benišek, M., An Improved Formula for Determination of Secondary Energy Losses in the Runner of Kaplan Turbine, Renew. Energy, 2016, vol. 94, pp. 537–546.

    Article  Google Scholar 

  4. McCormick, Jr., B.W., On Cavitation Produced by a Vortex Trailing from a Lifting Surface, ASME J. Basic Eng., 1962, vol. 84, no. 3, pp. 369–378.

    Google Scholar 

  5. Arndt, R.E.A., Arakeri, V.H., and Higuchi, H., Some Observations of Tip-Vortex Cavitation, J. FluidMech., 1991, vol. 229, pp. 269–289.

    Article  ADS  Google Scholar 

  6. Boulon, O., Callenaere, M., Franc, J.-P., and Michel, J.-M., An Experimental Insight into the Effect of Confinement on Tip Vortex Cavitation of an Elliptical Hydrofoil, J. Fluid Mech., 1999, vol. 390, pp. 1–23.

    Article  ADS  MATH  Google Scholar 

  7. Pennings, P., Westerweel, J., and van Terwisga, T., Cavitation Tunnel Analysis of Radiated Sound from the Resonance of a Propeller Tip Vortex Cavity, Int. J. Multiphase Flow, 2016, vol. 83, pp. 1–11.

    Article  MathSciNet  Google Scholar 

  8. Gearhart, W.S., Tip Clearance Cavitation in Shrouded Underwater Propulsors, J. Aircraft, 1966, vol. 3, no. 2, pp. 185–192.

    Article  MathSciNet  Google Scholar 

  9. Hsiao, C.-T. and Pauley, L.L., Numerical Study of the Steady-State Tip Vortex Flow over a Finite-Span Hydrofoil, ASME J. Fluids Eng., 1998, vol. 120, no. 2, pp. 345–353.

    Article  Google Scholar 

  10. Higashi, S., Yoshida, Y., and Tsujimoto, Y., Tip Leakage Vortex Cavitation from the Tip Clearance of a Single Hydrofoil, JSME Int. J. Ser. B, Fluids Therm. Eng., 2002, vol. 45, no. 3, pp. 662–671.

    Article  ADS  Google Scholar 

  11. Dreyer, M., Decaix, J., Münch-Alligné, C., and Farhat, M., Mind the Gap: A New Insight into the Tip Leakage Vortex Using Stereo-PIV, Exp. Fluids, 2014, vol. 55, iss. 11, article 1849.

    Google Scholar 

  12. Zhao, Y., Wang, G., Jiang, Y., and Huang, B., Numerical Analysis of Developed Tip Leakage Cavitating Flows Using a New Transport-BasedModel, Int. Comm. Heat Mass Transfer, 2016, vol. 78, pp. 39–47.

    Article  Google Scholar 

  13. Guo, Q., Zhou, L., and Wang, Z., Numerical Evaluation of the ClearanceGeometries Effect on the Flow Field and Performance of a Hydrofoil, Renew. Energy, 2016, vol. 99, pp. 390–397.

    Article  Google Scholar 

  14. Wang, B.-L., Liu, Z.-H., Li, H.-Y., Wang, Y.-Y., Liu, D.-C., Zhang, L.-X., and Peng, X.-X., On the Numerical Simulations of Vortical Cavitating Flows around Various Hydrofoils, J. Hydrodyn., 2017, vol. 29, no. 6, pp. 926–938.

    Article  ADS  Google Scholar 

  15. You, D., Wang, M., Mittal, R., and Moin, P., Study of Flow in Tip-Clearance Turbomachines Using Large-Eddy Simulation, Comput. Sci. Eng., 2004, vol. 6, pp. 38–46.

    Google Scholar 

  16. Mortier, C., Koller, M., and Braun, O., CFD Prediction of Cavitation Inception in the Tip Clearance Vortex of Kaplan Turbines, Proc. SHF Conf. on Cavitation and Hydraulic Machines, Lausanne, Switzerland, 2011.

    Google Scholar 

  17. Decaix, J., Balarac, G., Dreyer,M., Farhat, M., and Münch, C., RANS and LES Computations of the Tip-Leakage Vortex for DifferentGap Widths, J. Turb., 2015, vol. 16, no. 4, pp. 309–341.

    Google Scholar 

  18. Decaix, J., Dreyer, M., Balarac, G., Farhat, M., and Münch, C., RANS Computations of a Confined Cavitating Tip-Leakage Vortex, Eur. J. Mech. B, Fluids, 2018, vol. 67, pp. 198–210.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  19. Nilsson, H. and Davidson, L., Validations and Investigations of the Computed Flow in the GAMM Francis Runner and the Hölleforsen Kaplan Runner, Proc. 21st IAHR Symposium on Hydraulic Machinery and Systems, Lausanne, Switzerland, 2002.

    Google Scholar 

  20. Nennemann, B. and Vu, T.C., Kaplan Turbine Blade and Discharge Ring Cavitation Prediction Using Unsteady CFD, Proc. 2nd IAHR Int. Meeting of the Workgroup on Cavitation and Dynamic Problems in Hydraulic Machinery and Systems, Timisoara, Romania, 2007, pp. 47–54.

    Google Scholar 

  21. Hah, C., Investigation of Turbulent Tip Leakage Vortex in an Axial Water Jet Pump with Large Eddy Simulation, Proc. ASME 2012Fluids Engineering Summer Meeting, 2012, Rio Grande, Puerto Rico, USA.

    Book  Google Scholar 

  22. Wu, S.Q., Shi,W.D., Zhang, D.S., Yao, J., and Cheng, C., Influence of Blade Tip Rounding on Tip Leakage Vortex Cavitation of Axial Flow Pump, IOP Conf. Ser.:Mater. Sci. Eng., 2013, vol. 52, p. (062011)-6.

    Google Scholar 

  23. Zhang, D., Shi, W., Pan, D., and Dubuisson, M., Numerical and Experimental Investigation of Tip Leakage Vortex Cavitation Patterns and Mechanisms in an Axial Flow Pump, ASME J. Fluids Eng., 2015, vol. 137, no. 12, p. (121103)-14.

    Google Scholar 

  24. Zhang, D., Shi, L., Zhao, R., Shi, W., Pan, Q., and van Esch, B.P.M., Study on Unsteady Tip Leakage Vortex Cavitation in an Axial-Flow Pump Using an Improved Filter-Based Model, J. Mech. Sci. Technol., 2017, vol. 31, no. 2, pp. 659–667.

    Article  Google Scholar 

  25. Zwart, P.J., Gerber, A.G., and Belamri, T., A Two-Phase Flow Model for Predicting Cavitation Dynamics, Proc. 5th Int. Conference on Multiphase Flow, 2004, Yokohama, Japan, p. 11.

    Google Scholar 

  26. Kunz, R.F., Boger, D.A., Stinebring, D.R., Chyczewski, T.S., Lindau, J.W., Gibeling, H.J., Venkateswaran, S., and Govindan, T.R., A Preconditioned Navier–Stokes Method for Two-Phase Flows with Application to Cavitation Prediction, Comput. Fluids, 2000, vol. 29, no. 8, pp. 849–875.

    Article  MATH  Google Scholar 

  27. Strelets, M., Detached Eddy Simulation of Massively Separated Flows, 39th Aerospace Sciences Meeting and Exhibit, 2001, Reno, Nevada, USA, p. 18.

    Google Scholar 

  28. Menter, F.R., Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications, AIAA J., 1994, vol. 32, no. 8, pp. 1598–1605.

    Article  ADS  Google Scholar 

  29. Patankar, S., Numerical Heat Transfer and Fluid Flow, New York: Hemisphere, 1980.

    MATH  Google Scholar 

  30. Ferziger, J.H. and Peric, M., Computational Methods for Fluid Dynamics, 3rd ed., Berlin, Heidelberg: Springer-Verlag, 2002.

    Book  MATH  Google Scholar 

  31. Kravtsova, A.Yu., Markovich, D.M., Pervunin, K.S., Timoshevskiy, M.V., and Hanjalić, K., High-Speed Visualization and PIVMeasurements of Cavitating Flows around a Semi-Circular Leading-Edge Flat Plate and NACA0015 Hydrofoil, Int. J. Multiphase Flow, 2014, vol. 60, pp. 119–134.

    Article  Google Scholar 

  32. Timoshevskiy, M.V., Churkin, S.A., Kravtsova, A.Yu., Pervunin, K.S., Markovich, D.M., and Hanjalić, K., Cavitating Flow around a Scaled-Down Model of Guide Vanes of a High-Pressure Turbine, Int. J. Multiphase Flow, 2016, vol. 78, pp. 75–87.

    Article  Google Scholar 

  33. Launder, B.E. and Spalding, D.B., The Numerical Computation of Turbulent Flows. Comput. Meth. Appl. Mech. Eng., 1974, vol. 3, pp. 269–289.

    Article  Google Scholar 

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Authors and Affiliations

  1. Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 1, Novosibirsk, 630090, Russia

    A. V. Sentyabov, M. V. Timoshevskiy & K. S. Pervunin

  2. Institute of Engineering Physics and Radio Electronics, Siberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russia

    A. V. Sentyabov

  3. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    M. V. Timoshevskiy & K. S. Pervunin

Authors
  1. A. V. Sentyabov
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  2. M. V. Timoshevskiy
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  3. K. S. Pervunin
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Correspondence to A. V. Sentyabov or K. S. Pervunin.

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Sentyabov, A.V., Timoshevskiy, M.V. & Pervunin, K.S. Gap Cavitation in the End Clearance of a Guide Vane of a Hydroturbine: Numerical and Experimental Investigation. J. Engin. Thermophys. 28, 67–83 (2019). https://doi.org/10.1134/S1810232819010065

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  • DOI: https://doi.org/10.1134/S1810232819010065

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