Investigation of the New GEKO Turbulence Model For Flows with Cavitation Around Projectiles with Flat and Hemispherical Heads

Document Type : Original Article

Authors

1 frdwosi uni of mashhhad

2 Department of Mechanical Engineering ferdowsi mashhad Univ., mashhad,

Abstract

In hydrodynamic applications, accurately predicting fluid flows with cavitation is very important. In this regard, prediction of the cavity dimensions and the pressure distribution and the flow dynamics, inside and around the cavity, specifically at the closing point has frequently been under consideration. In this study, cavitating flow around cylindrical projectiles with flat or hemispherical heads is considered numerically. To this end, four turbulence models of k-ε-Realizeable, k-ω Standard, k-ω SST, and GEKO, in combination with the Zwart cavitation model are considered using the Fluent software. Flows with a vast range of cavitation numbers (0.1-1.8) are considered in comparison with the experimental and numerical results of other researchers. Our results show that the last turbulence model proposed by Menter, namely the GEnelarilized-KOmega )GEKO( model, in which two extra equations are solved, predicts the results much better, particularly for higher cavitation numbers.

Keywords

References

  1.  Štigler, J. and Svozil, J. “Modeling of Cavitation Flow On NACA 0015 Hydrofoil”, Eng. Mech., Vol. 16, No. 6, pp. 447–455, 2009.##
  2. Yuan, W., Sauer, J., and Schnerr, G.H. “Modeling and Computation of Unsteady Cavitation Flows in Injection Nozzles”, Mec. Ind., Vol. 2, No. 5, pp. 383–394, 2001.##
  3. Singhal, R.K. “Editorial”, Int. J. Surf. Mining, Reclam. Environ., Vol. 16, No. 1, p. 1, 2002.##
  4. Kunz, R., F., David, A. B., David, A. S., Thomas, S. C., Jules, W. L., Howard, J. G., Sankaran, V. and Govindan, T. R. “A Preconditioned Navier-Stokes Method for Two-Phase Flows with Application to Cavitation Prediction”, 14th Comput. Fluid Dyn. Conf., Vol. 29, pp. 676–688, 1999.##
  5. Hejranfar, K. and Hajihassanpour, M. “A High-Order Nodal Discontinuous Galerkin Method for Solution of Compressible Non-Cavitating and Cavitating Flows”, Comput. Fluids, Vol. 156, pp. 175–199, 2017.##
  6. Passandideh-Fard, M. and Roohi, E. “Transient Simulations of Cavitating Flows Using a Modified Volume-Of-Fluid (VOF) Technique”, Int. J. Comut. Fluid Dyn., Vol. 22, No. 1–2, pp. 97–114, 2008.##
  7. Shang, Z. “Numerical investigations of Supercavitation Around Blunt Bodies of Submarine Shape”, Appl. Math. Model., Vol. 37, No. 20–21, pp. 8836–8845, 2013.##
  8. Roohi, E., Zahiri, A. P., and Passandideh-Fard, M. “Numerical Simulation of Cavitation Around A Two-Dimensional Hydrofoil Using VOF Method And LES Turbulence Model”, Appl. Math. Model., Vol. 37, No. 9, pp. 6469–6488, 2013.##
  9. Yu X. H., Tang, Z. B., Liu, L. J., Qian, H., Tang, S. L., Zhang, D. W., Tian, G. P., and Tang, C. K., “Apelin and its receptor APJ in cardiovascular diseases”, Clin. Chim. Acta, Vol. 428, pp. 1–8, 2014.##
  10. Kim, J. and Lee, J. S. “Numerical Study of Cloud Cavitation Effects on Hydrophobic Hydrofoils”, Int. J. Heat Mass Transf., Vol. 83, pp. 591–603, 2015.#3
  11. Hong, F., Yuan, J., and Zhou, B. “Application of a New Cavitation Model for Computations of Unsteady Turbulent Cavitating Flows Around a Hydrofoil”, J. Mech. Sci. Technol., Vol. 31, No. 1, pp. 249–260, 2017.##
  12. Zhou, H., Xiang, M., Okolo, P.N., Wu, Z., Bennett, G.J., and Zhang, W. “An Efficient Calibration Approach for Cavitation Model Constants Based on Openfoam Platform”, J. Mar. Sci. Technol., Vol. 24, No. 4, pp. 1043–1056, 2019.##
  13. Kubota, A., Kato, H., and Yamaguchi, H. “A New Modelling of Cavitating Flows: A Numerical Study of Unsteady Cavitation on A Hydrofoil Section”, J. Fluid Mech., Vol. 240, No. 3, pp. 59–96, 1992.##
  14. Gunter, J. S. and Schnerr, H. “Physical and Numerical Modeling of Unsteady Cavitation Dynamics Physical and Numerical Modeling of Unsteady Cavitation Dynamics”, No. June,
    pp. 1-12, 2011.##
  15. Kunz, R. F., Boger, D. A., Stinebering, D. R., Thomas, S. C., 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”, 14th Comput. Fluid Dyn. Conf., No. c, pp. 676–688, 1999.##
  16. Singhal, A. K., Athavale, M. M., Li, H., and Jiang, Y. “Mathematical Basis and Validation of the Full Cavitation Model”, J. Fluids Eng. Trans. ASME, Vol. 124, No. 3, pp. 617–624, 2002.
  17. Zwart, P. J., Gerber, A. J., and Belamri, T. “A two-Phase Flow Model for Predicting Cavitation Dynamics”, Int. Conf. Multiph. Flow, No. January 2004, p. 152, 2004.##
  18. Zamandi, R. “Three Dimensional Flow Analysis of Cavitations Around Rudder”, Master Thesis, Ferdowsi University of Mashhad, Mechanical Engineering, 2015. (In Persian)##
  19. Saberniya, M. and Pasandidehfard, M. “Comparison of Cavitation Models and Selection of Appropriate Model in Plane Cavitation Simulation on Naca Hydrofoil”, 4th national conference on Mechanical and Aerospace engineering, Tehran, Iran, 2019.##
  20. 20 Saadati, E. and Zeynolabedin, M. "Principles of Basic and Advanced Simulation of Computational Fluid Dynamics Using Fluent and CFX Software”, Pardad Petro Danesh Company. Iran, 2015. (In Persian)##
  21. Chenggong, Cong, W., Yingjie, W., and Qingpeng, M. "Analysis of the Effect of Mass Center Position on Tailslap of Supercavitating Projectile”, Journal of Beijing University of Aeronautics and Astronautics, Vol. 12, p. 020, 2014.##
  22. Coutier-Delgosha, O., Fortes-Patella, R., and Reboud, J. L. “Evaluation of the Turbulence Model Influence on the Numerical Simulations of Unsteady Cavitation”, J. Fluids Eng. Trans. ASME, Vol. 125, No. 1, pp. 38–45, 2003.##
  23. Goncalvs, E. “Numerical Study of Unsteady Turbulent Cavitating Flows”, Eur. J. Mech. B/Fluids, Vol. 30, No. 1, pp. 26–40, 2011.##
  24. Baradaran A. A., Pasandedehfard, M., and Nikseresht, A. H. “Numerical Simulation of Unsteady 3D Cavitating Flows Over Axisymmetric Cavitators”, Sci. Iran., Vol. 19, No. 5, pp. 1258–1264, 2012.##
  25. Guo, J. H., Lu, C. J., and Chen, Y. “Characteristics of Flow Field Around an Underwater Projectile with Natural and Ventilated Cavitation”, J. Shanghai Jiaotong Univ., Vol. 16, No. 2, pp. 236–241, 2011.##
  26. Park, S. and Rhee, S. H. “Computational Analysis of Turbulent Super-Cavitating Flow Around a Two-Dimensional Wedge-Shaped Cavitator Geometry”, Comput. Fluids, Vol. 70, pp. 73–85, 2012.##
  27. Ji, B., Luo, X. W., Arndt, R. E. A., and Wu, Y. L. “Numerical Simulation Of Three Dimensional Cavitation Shedding Dynamics with Special Emphasis on Cavitation-Vortex Interaction”, Ocean. Eng. 87, 64–77, 2014.##
  28. Ji, B., Luo, X. W., Arndt, R. E .A., Peng, X., and Wu, Y. “Large Eddy Simulation and Theoretical Investigations of the Transient Cavitating Vortical Flow Structure Around a NACA66 Hydrofoil”, Int. J. Multiph. Flow, Vol. 68, pp. 121–134, 2015.##
  29. Yin, Y., Pavesi, G., Pei, J., Yuan, S., and Daniel, N. A. “Comparison of Various Turbulence Models Applied to a Twisted Hydrofoil”, in Proceedings of the 10th International Symposium on Cavitation (CAV2018), 2018: ASME Press.##
  30. Geng, L. and Escaler, X. “Assessment of RANS turbulence Models and Zwart Cavitation Model Empirical Coefficients for the Simulation of Unsteady Cloud Cavitation”, Vol. 14, No. 1, pp. 151-167, 2020.##
  31. Salari, M., Heidarpor, H. and Mohammadkhani, H. “Evaluation of Four Different Turbulence Models for Numerical Simulation of Supersonic Flow Over a Blunt Nose Equipped with a Spike”, Journal of Fluid Mechanics and Aerodynamics, Vol. 7, No. 2, pp. 47-57, 2018. (In Persian)##
  32. Menter, F. R., Lechner, R., and Matyushenko, A. “Best Practice : Generalized k- w Two-Equation Turbulence Model in ANSYS CFD (GEKO)”, pp. 1–38, 2019.##
  33. Shish, T. H., Liou, W. W., Shabbir, A., Yang, Z., and Zho, j. “A New k-ε Eddy Viscosity Model for High Reynolds Number Turbulent Flows”, Compurers Fluids, Vol. 24, No. 3, pp. 227–23, 1995.##
  34. Menter, F. R. “Two-equation Eddy-Viscosity Turbulence Models for Engineering Applications”, AIAA J., Vol. 32, No. 8, pp. 1598–1605, 1994.##
  35. Shaheed, R., Mohammadian, A., and Kheirkhah G.H. “A Comparison of Standard K–Ε and Realizable K–Ε Turbulence Models in Curved and Confluent Channels”, Environ. Fluid Mech., Vol. 19, No. 2, pp. 543–568, 2019.##
  36. Wilcox, D. C. “Turbulence modeling for CFD”, DCW Industries, Inc. La Canada, California. 1998.##
  37. Menter, F. R. “Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications”, AIAA Journal. 32(8). 1598–1605. August 1994.##
  38. May, A. “Water Entry and the Cavity-running Behavior of Missiles”, 1975.##
  39. Pendar, M. R. and Roohi, E. “Investigation of Cavitation Around 3D Hemispherical Head-Form Body and Conical Cavitators Using Different Turbulence and Cavitation Models”, Ocean Eng., Vol. 112, pp. 287–306, 2016.##

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History

  • Receive Date: 18 March 2021
  • Revise Date: 19 July 2021
  • Accept Date: 20 September 2021
  • Publish Date: 22 May 2021

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