Abstract
The article presents the results of an experimental study of the turbulent structure of flow over a two-dimensional hydrofoil, which is a scaled-down model of guide vane of high-pressure hydraulic turbine. The study was carried out for four regimes of cavitating flow, covering the cases of cavitation-free flow, quasi-steady sheet-vortex cavity with detachments of small-scale cavitation clouds, and unsteady cloud cavitation with periodic separation of the whole attached cavity, formation of large-scale cavitation cloud, and its advection. Distributions of the average velocity, turbulent kinetic energy, and functional shear stresses are given. The transformation of the turbulent structure of the flow over the hydrofoil during transition from the cavitation-free flow to the regime of cloud cavitation is analyzed. Flow regions with non-local characteristics of turbulent transport are detected, where the known semi-empirical gradient-type models used in RANS approaches give qualitatively improper results.
Similar content being viewed by others
REFERENCES
Franc, J.-P. and Michel, J.-M., Fundamentals of Cavitation, Kluwer, 2004.
Helal, M.M., Ahmed, T.M., Banawan, A.A., and Kotb, M.A., Numerical Prediction of Sheet Cavitation on Marine Propellers Using CFD Simulation with Transition-Sensitive Turbulence Model,Alexandria Engin. J., 2018, vol. 57, no. 4, pp. 3805–3815; DOI: 10.1016/j.aej.2018.03.008.
Yarusevych, S., Sullivan, P.E., and Kawall, J.G., Coherent Structures in an Airfoil Boundary Layer and Wake at Low Reynolds Numbers, Phys. Fluids, 2006, vol. 18, no. 4, pp. (044101)–11; DOI: 10.1063/1.2187069.
Wei, Y.-J., Tseng, C.-C., and Wang, G.-Y., Turbulence and Cavitation Models for Time-Dependent Turbulent Cavitating Flows,Acta Mech. Sin., 2011, vol. 27, no. 4, pp. 473–487; DOI: 10.1007/s10409-011-0475-3.
Gopalan, S. and Katz, J., Flow Structure and Modeling Issues in the Closure Region of Attached Cavitation, Phys. Fluids, 2000, vol. 12, no. 4, pp. 895–911; DOI: 10.1063/1.870344.
Kravtsova, A.Yu., Markovich, D.M., Pervunin, K.S., Timoshevskiy, M.V., and Hanjalić, K., High-Speed Visualization and PIV Measurements of Cavitating Flows around a Semi-Circular Leading-Edge Flat Plate and NACA0015 Hydrofoil, Int. J. Multiphase Flow, 2014, vol. 60, pp. 119–134; DOI: 10.1016/ j.ijmultiphaseflow.2013.12.004.
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; DOI: 10.1016/j.ijmultiphaseflow.2015.09.014.
Timoshevskiy, M.V., Zapryagaev, I.I., Pervunin, K.S., Maltsev, L.I., Markovich, D.M., and Hanjalić, K., Manipulating Cavitation by a Wall Jet: Experiments on a 2D Hydrofoil, Int. J. Multiphase Flow, 2018, vol. 99, pp. 312–328; DOI: 10.1016/j.ijmultiphaseflow.2017.11.002.
Schmitt, F.G., About Boussinesq’s Turbulent Viscosity Hypothesis: Historical Remarks and a Direct Evaluation of Its Validity, Comptes Rendus Mécanique, 2007, vol. 335, nos. 9/10, pp. 617–627; DOI: 10.1016/j.crme.2007.08.004
Launder, B.E. and Spalding, D.B., Lectures in Mathematical Models of Turbulence, Academic Press, 1972.
Wang, Y., Huang, C., Fang, X., Yu, X., Wu, X., and Du, T., Cloud Cavitating Flow over a Submerged Axisymmetric Projectile and Comparison between Two-Dimensional RANS and Three-Dimensional Large-Eddy Simulation Methods, ASME J. Fluids Engin., 2016, vol. 138, no. 6, pp. (061102)–10; DOI: 10.1115/ 1.4032293.
Sentyabov, A.V., Timoshevskiy, M.V., Pervunin, K.S., Gavrilov, A.A., Markovich, D.M., and Dekterev, A.A., Numerical and Experimental Investigation of Cavitation Flow around NACA0015 Hydrofoil,Izv. Tomsk Polutekh. Univ. Inginir. Geores., 2016, vol. 327, no. 8, pp. 28–43.
Li, C.-Y. and Ceccio, S.L., Interaction of Single Travelling Bubbles with the Boundary Layer and Attached Cavitation, J. Fluid Mech., 1996, vol. 322, pp. 329–353; DOI: 10.1017/S0022112096002819.
Vinuesa, R., Negi, P.S., Atzori, M., Hanifi, A., Henningson, D.S., and Schlatter, P., Turbulent Boundary Layers around Wing Sections up to \(Re_{c}=1,000,000\),Int. J. Heat Fluid Flow, 2018, vol. 72, pp. 86–99; DOI: 10.1016/j.ijheatfluidflow.2018.04.017.
Funding
The analysis of the turbulent structure of cavitating flow was funded by the Russian Science Foundation (project no. 19-79-30075). The experiment on the cavitating hydrofoil was carried out under a state contract with IT SB RAS.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Timoshevskiy, M.V., Ilyushin, B.B. & Pervunin, K.S. Turbulent Structure of Cavitating Flow: PIV Measurements over a Model of Guide Vane of Hydraulic Turbine. J. Engin. Thermophys. 29, 407–413 (2020). https://doi.org/10.1134/S1810232820030054
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1810232820030054