Unsteady Cavitation Analysis Using Phase Averaging and Conditional Approaches in a 2D Venturi Flow

Abstract

The present study refers to a cavitating Venturi type section geometry characterized by a convergent angle of 18° and a divergent angle of about 8° where the sheet cavity presents typical self-oscillation behavior with quasi-periodic vapor clouds shedding. This work is an extension of previous works concerning void ratio measurements and velocity fields using double optical probe and constitutes a complete analysis of the two-phase structure of unsteady cavitating flow. This paper provides a new method based on conditional and phase averaging technique with wall pressure signal to treat experimental data in order to evaluate more precisely time-averaged and rms values of the void ratio and instantaneous velocity fields. Conditional analysis shows a different behavior of the two-phase flow dynamics leading to highlight high void ratio events linked to the break-off cycle. Unsteady phase averaging of the optical probe signal gives the evolution of the void ratio at each studied location in the venturi and shows that the fluctuations close to the wall (where the re-entrant jet is predominant) are in phase with the upper part of the cavity instead of the thickness of the cavity which is unchanged.

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V. Aeschlimann, S. Barre and H. Djeridi, "Unsteady Cavitation Analysis Using Phase Averaging and Conditional Approaches in a 2D Venturi Flow," Open Journal of Fluid Dynamics, Vol. 3 No. 3, 2013, pp. 171-183. doi: 10.4236/ojfd.2013.33022.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] K. Kamijo, T. Shimura and M. Watanabe, “An Experimental Investigation of Cavitating Inducer Instability,” ASME Winter Annual Meeting, Atlanta, 27 November- 2 December 1977.
[2] J. De Bernardi, F. Joussellin and A. Von Kaenel, “Experimental Analysis of Instabilities Related to Cavitation in Turbopump Inducer,” Proceedings of 1st International Symposium on Pumps Noise and Vibration, Paris, 7-9 July 1993, pp. 91-99.
[3] W. Hassan, S. Legoupil, D. Chambellan and S. Barre, “Dynamic Localization of Vapor Fraction in Turbopump Inducers by X-Ray Tomography,” IEEE-TNS (Transaction on Nuclear Sciences), Vol. 55, No. 1, 2008, pp. 656- 661.
[4] B. Stutz and J. L. Reboud, “Two-Phase Flow Structure of Sheet Cavitation,” Physical Fluids, Vol. 9, No. 12, 1997, pp. 3678-3686. doi:10.1063/1.869505
[5] B. Stutz, “Analyse de la Structure Diphasique et Instationnaire de Poches de Cavitation,” Ph.D. Thesis, INPG, CREMHYG Laboratory, Grenoble, 1996.
[6] B. Stutz, “Influence of Roughness One the Two-Phase Flow Structure of Sheet Cavitation,” Journal of Fluids Engeneering, Vol. 125, No. 4, 2003, pp. 652-659. doi:10.1115/1.1596240
[7] S. Barre, J. Rolland, G. Boitel, E. Goncalves and R. Fortes Patella, “Experiments and Modelling of Cavitating Flows in Venturi: Attached Sheet Cavitation,” European Journal of Mecanics B/Fluids, Vol. 28, No. 3, 2009, pp. 444-464.
[8] O. Coutier-Delgosha, J.-L. Reboud and Y. Delannoy, “Numerical Simulation of the Unsteady Behavior of Cavitating Flows,” International Journal for Numerical Methods in Fluids, Vol. 42, No. 5, 2003, pp. 527-548.
[9] J. L. Reboud, R. Fortes-Patella, M. Hofmann, H. Lohrberg, G. Ludwig and B. Stoffel, “Numerical and Experimental Investigations on the Self-Oscillating Behavior of Cloud Cavitation,” ASME-FEDSM 99-6755/7259, San Francisco, 1999.
[10] E. Goncalves and R. Fortes-Patella, “Numerical Simulation of Cavitating Flows with Homogeneous Models,” Computers & Fluids, Vol. 38, 2009, pp. 1682-1696. doi:10.1016/j.compfluid.2009.03.001
[11] E. Goncalves and R. Fortes-Patella, “Constraints on Equation of State for Cavitating Flows with Thermodynamic Effects,” Applied Mathematics and Computation, 2010, in Press.
[12] E. Goncalves, “Numerical Study of Expansion Tube Problems: Toward the Simulation of Cavitation,” Computers and Fluids, Vol. 72, 2013, pp. 1-19. doi:10.1016/j.compfluid.2012.11.019
[13] J. Decaix and E. Goncalves Da Silva, “Compressible Effects Modelling in Turbulent Cavitating Flows,” European Journal of Mechanics B/Fluids, Vol. 39, 2013, pp. 11-31. doi:10.1016/j.euromechflu.2012.12.001
[14] B. Stutz and J. L. Reboud, “Experiments One Unsteady Cavitation,” Experiments in Fluids, Vol. 22, 1997, pp 191-198.
[15] B. Stutz and J. L. Reboud, “Measurements within Un- steady Cavitation,” Experiments in Fluids, Vol. 29, No. 6, 2000, pp. 545-552. doi:10.1007/s003480000122
[16] N. Dittakavi, A. Chunekar and S. Frankel, “Large Eddy Simulation of Turbulent-Cavitation Interactions in a Venturi Nozzle,” Journal of Fluid Engineering, Vol. 132, 2010, Article ID: 121301.
[17] F. De Lange and J. De Bruin, “Sheet Cavitation and Cloud Cavitation, Re-Entrant Jet and Three-Dimensionality,” Applied Scientific Research, Vol. 58, No. 1-4, 1998, pp. 91-114. doi:10.1023/A:1000763130780
[18] E. J. Foeth and T. V. Terwisga, “The Structure of Unsteady Cavitation. Part I: Observation of an Attached Cavity on a Three-Dimensional Hydrofoil,” 6th International Symposium on Cavitation, Wageningen, 11-15 September 2006.
[19] R. Fortes-Patella, O. Coutier-Delgosha, J. Perrin and J.-L. Reboud, “A Numerical Model to Predict Unsteady Cavitating Flow Behavior in Inducer Blade Cascades,” Journal of Fluid Engineering, Vol. 129, No. 2, 2007, pp. 128-135. doi:10.1115/1.2409320
[20] V. Aeschlimann, S. Barre and H. Djeridi, “Velocity Field Analysis in an Experimental Cavitating Mixing Layer,” Physics of Fluids, Vol. 23, 2011, Article ID: 055105.
[21] V. Aeschlimann, S. Barre and S. Legoupil, “X-Ray Absorption Measurements in a Cavitating Mixing Layer for Instantaneous 2D Void Ratio Determination,” Physics of Fluids, Vol. 23, 2011, Article ID: 055101.

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