Improvement of Mass Transfer Rate Modeling for Prediction of Cavitating Flow

Document Type : Regular Article

Authors

1 School of Aerospace Engineering, VNU-University of Engineering and Technology, Vietnam National University (Hanoi), 144 Xuanthuy, Caugiay, Hanoi, Vietnam

2 Faculty of Aerospace Engineering, Le Quy Don Technical University, 236 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam

Abstract

This study proposes and investigates the impact of a modification, accounting for the influence of vortices and flow properties on the liquid rupture, to improve the modeling of mass transfer rate in cavitation.  The threshold phase-change pressure is calculated by the fluid-saturated pressure at rest and the added vortex pressure term. The explicit simulation of the fully turbulent, homogeneous compressible, cavitating flow around the NACA0015 hydrofoil and the hemispherical body is performed. Saito cavitation model and Wilcox k-ω turbulence model are implemented for the evaluation of the proposed modification. The pressure coefficient distribution -Cp and cavitation behavior, including the vapor formation-collapse processes and the flow mechanism, are investigated. The analysis shows that the present modification, coupled the local flow viscosity with the vorticity magnitude, making the cavitation model better sensitive to the flow condition. The modification has a weak impact on the steady sheet cavitation around a hemispherical body but is the key factor underlying the improvement in the predicted complex flow around the NACA0015 hydrofoil. In that, the predicted -Cp and cavity structure around the hydrofoil is improved in comparison with the existing numerical data by other research groups and that by the Singhal turbulent pressure fluctuation model‎.

Keywords

References

Allmaras, S. R., F. T. Johnson and P. R. Spalart (2012). Modification and Clarifications for the Implementation of the Spalart-Allmaras Turbulence Model. ICCFD7-1902, 7th International Conference on Computational Fluid Dynamics.##
Anh, D. L., J. Okajima and Y. Iga (2019a). Modification of Energy Equation for Homogeneous Cavitation Simulation with Thermodynamic Effect. Journal of Fluids Engineering, Transaction of the ASME, 141, 081102-1-12.##
Anh, D. L., J. Okajima and Y. Iga (2019b). Numerical Simulation Study of Cavitation in Liquefied Hydrogen. Cryogenics 101, 29-35.##
Anh, D. L., P. T. Hoang and T. T. Hung (2021a). Assessment of a Homogeneous Model for Simulating a Cavitating Flow in Water under a Wide Range of Temperatures. Journal of Fluids Engineering, Transaction of the ASME 143(10).##
Anh, D. L. (2021b). Study of Thermodynamic Effect on the Mechanism of Flashing Flow under Pressurized Hot Water by a Homogeneous Model. Journal of Fluids Engineering, Transaction of the ASME 141(1), 011206.##
Arndt, R. E. A. (2002). Cavitation in Vortical Flows. Annual Review of Fluid Mechanics 34, 143-75.##
Asnaghi, A., A. Feymark and R. E. Bensow (2017). Improvement of cavitation mass transfer modeling based on local flow properties. International Journal of Multiphase Flow 93, 142-157.##
Bachmann, C., V. Kini, S. Deutsch, A. A. Fontaine and J. M. Tarbell (2002). Mechanism of cavitation and the formation of stable bubbles on the Bjork-shiley monotrut prosthetic heart valve. Journal of Heart Valve Disease 11, 105-13.##
Bernard, P. S., J. M. Thomas and R. A. Handler (2006). Vortex dynamics and the production of Reynolds stress. Journal of Fluid Mechanics 253, 385-419.##
Brandao, F., M. Bhatt and K. Mahesh (2020). Numerical study of cavitation regimes in flow over a circular cylinder. Journal of Fluid Mechanics 885, A19.##
Brennen, C. E. (1974). Cavitation and Bubble Dynamics. Concepts ETI Inc. and Oxford Science Publications.##
Chebli, R., B. Audebert, G. Zhang and O. Coutier-Delgosha (2021). Influence of the turbulence modeling on the simulation of unsteady cavitating flows. Computers and Fluids 221, 104898.##
Coutier-Delgosha, O., R. Fortes-Patella and J. L. Reboud (2003). Evaluation of Turbulence Model Influence on the Numerical Simulation of Unsteady Cavitation. Journal of Fluids Engineering, Transaction of the ASME 125(1), 38-45##
Ducoin, A., B. Huang and Y. Yin Lu (2012). Numerical Modeling of Unsteady Cavitating Flow around a Stationary Hydrofoil. Int. J. Rotating Machinery, ID 215678.##
Garam, K., C. Cheong and H. Seol (2020). Numerical Investigation of Tip-Vortex Cavitation Noise of an Elliptic Wing Using Coupled Eulerian-Lagrangian Approaches. Applied Sciences 10, 5897.##
Ghahramani, E., M. H. Arabnejad and R. E. Bensow (2019). A comparative study between numerical methods in simulation of cavitating bubbles. International Journal of Multiphase Flow 111, 339-359.##
Ghahramani, E., H. Strom and R. E. Bensow(2021). Numerical simulation and analysis of multi-scale cavitating flows. Journal of Fluid Mechanics 992.##
Gnanaskandan, A. and K. Mahesh (2016). Numerical investigation of near-wake characteristics of cavitating flow over a circular cylinder. Journal of Fluid Mechanics 790, 453-491.##
Iga, Y., M. Nohmi, A. Goto, B. R. Shin and T. Ikohagi (2003). Numerical Study of Sheet Cavitation Breakoff Phenomenon on a Cascade Hydrofoil. Journal of Fluids Engineering, Transaction of the ASME 125, 643-651.##
Kashiwada, S. and Y. Iga (2015). Consideration of a Phase Change Model based on Apparent Phase Equilibrium. Journal of Physics: Conference Series 656, 012129.##
Li, C.-P., S.-F. Chen  and C.-W. Lo (2012). Role of vortices in cavitation formation in the flow at the closure of a bileaflet mitral mechanical heart valve. Journal of Artificial Organs 15, 57-64.##
Martynov, S. (2005). Numerical simulation of the cavitation process in Diesel fuel injector. Ph.D. thesis, The University of Brighton.##
Menter, F. R. (1992). Improved Two-Equation k-omega Turbulence Models for Aerodynamic Flows. NASA TM 103975, Octorber.##
Ochiai, N. (2011). Study of Numerical Prediction of Cavitation Erosion Based on Bubble Collapse Intensity. A dissertation submitted for the degree of Doctor of Phylosophy (Engineering), Department of mechanical Systems and Design, Tohoku University.##
Pelz, P. F., T. Keil and T. F. GroB (2017). The transition from sheet to cloud cavitation. Journal of Fluid Mechanics 817, 439-454.##
Rambod, E., M. Beizaie, M. Shusser, S. Milo and M. Gharib (1999). A physical model describing the mechanism for formation of gas micro-bubble in patients with mitral mechanical heart valve. Annals of Biomedical Engineering 27, 774-92.##
Rouse, H. and J. S. McNown (1948). Cavitation and pressure distribution head forms at zero angle of yaw. State University of Iowa, No. 420.##
Saito, Y., R. Takami, I. Nakamori and T. Ikohagi (2007). Numerical analysis of unsteady behavior of cloud cavitation around a NACA0015 foil. Computational Mechanics 40, 85-96. ##
Schnerr, G. H. and J. Sauer (2001). Physical and numerical modeling of unsteady cavitation dynamics. In Proceeding of the Fourth 4th International Conferences on Multiphase Flow, New Orleans, USA.##
Singhal, A., M. Athavale, H. Li and Y. Jiang (2002). Mathematical Basis and Validation of the Full Cavitation Model. Journal of Fluids Engineering, Transaction of the ASME 124(3).##
Som, S., S. K. Aggarwal, E. M. El-Hannouny and D. E. Longman (2010). Investigation of nozzle flow and cavitation characteristic in a diesel injector. Journal of Engineering for Gas Turbines and Power 132(4).##
Wilcox, D. C. (1994). Turbulence Modeling for CFD. DCW Industries, Inc., La Canada, California, USA.##
Yee, H. C. (1987). Upwind and Symmetric Shock - Capturing Schemes. NASA Technical Memorandum 89464.##
Zwart, P. J., A. G. Gerber  and T. Belamri (2004). A two-phase flow model for predicting cavitation dynamics. In Proceeding of the Fifth 5th International Conference on Multiphase Flow, Yokohama, Japan.##
Zhou, H., M. Xiang, P. N. Okolo, Z. Wu, G. J. Bennett and W. Zhang (2019). An efficient calibration approach for cavitation model constants based on OpenFOAM platform. Journal of Marine Science and Technology 24, 1043-1056.##
Journal of Applied Fluid Mechanics
Volume 15, Issue 2 - Serial Number 63
March and April 2022
Pages 551-561

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History

  • Received: 28 July 2021
  • Revised: 24 September 2021
  • Accepted: 21 October 2021
  • Available online: 02 February 2022

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