Abstract
Unsteady cavitating flow is extremely complicated and brings more serious damages and unignorable problems compared with steady cavitating flow. CFD has become a practical way to model cavitation; however, the popularly used full cavitation model cannot reflect the pressure-change that the bubble experiences during its life path in the highly unsteady flow like cloud cavitating. Thus a dynamic cavitation model (DCM) is proposed and it has been considered to have not only the first-order pressure effects but also zero-order effect and can provide greater insight into the physical process of bubble producing, developing and collapsing compared to the traditional cavitation model. DCM has already been validated for steady cavitating flow, and the results were reported. Furthermore, DCM is designed and supposed to be more accurate and efficient in modeling unsteady cavitating flow, which is also the purpose of this paper. The basic characteristic of the unsteady cavitating flow, such as the vapor volume fraction distribution and the evolution of pressure amplitude and frequency at different locations of the hydrofoil, are carefully studied to validate DCM. It is found that not only these characteristics mentioned above accord well with the experimental results, but also some detailed transient flow information is depicted, including the re-entrant jet flow that caused the shedding of the cavity, and the phenomenon of two-peak pressure fluctuation in the vicinity of the cavity closure in a cycle. The numerical results validate the capability of DCM for the application of modeling the complicated unsteady cavitating flow.
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References
Coutier D O, Reboud J L, Delannoy Y. Numerical simulation of the unsteady behaviour of cavitating flows. Int J Numer Meth Fl, 2003, 42: 527–548
Coutier D O, Fortes P R, Reboud J L. Simulation of unsteady cavitation with a two-equation turbulence model including compressibility effects. J Turbul, 2002, 3: 058–075
Lu C J, He Y S, Chen X, et al. Numerical and experimental research on cavitating flows. New Trends in Fluid Mechanics Research. In: Proceedings of the 5th International Conference on Fluid Mechanics, 2007. 45–52
Senocak I, Shyy W. Interfacial dynamics-based modelling of turbulent cavitating flows, Part-1: Model development and steady-state computations. Int J Numer meth Fl, 2004, 44: 975–995
Singhal A K, Athavale M M, Li H Y. Mathematical basis and validation of the full cavitation model. J Fluids Eng Trans ASME, 2002, 124: 617–624
Senocak I, Shyy W. Evaluation of cavitation models for Navier-Stoke computation. Proc FEDSM, 2002, 2: 31011
Huang B, Wang G Y, Yu Z Y, et al. Detached-eddy simulation for time-dependent turbulent cavitating flows. Chin J Mech Eng-en, 2012, 25: 484–490
Merkle C L, Feng J, Buelow P E O. Computational modeling of the dynamics of sheet cavitation. In: Proceedings of the 3rd International Symposium on Cavitation, Grenoble, 1998
Kunz R F, Boger D A, Stinebring D R, et al. A preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction. Comput Fluids, 2000, 29: 849–875
Senocak I, Shyy W. Interfacial dynamics-based modelling of turbulent cavitating flows, Part-2: Time-dependent computations. Int J Numer meth Fl, 2004, 44: 997–1016
Sauer J, Schnerr G H. Unsteady cavitating flow: a new cavitation model based on a modified front capturing method and bubble dynamics. In: Proceedings of ASME Fluid Engineering Summer Conference, Boston, 2000
Zhang X B, Qiu L M, Gao Y, et al. Computational fluid dynamic study on cavitation in liquid nitrogen. Cryogenics, 2008, 48: 432–438
Cao X L, Zhang X B, Qiu L M, et al. Validation of full cavitation model in cryogenic fluids. Chin Sci Bull, 2009, 54: 1633–1640
Lohrberg H, Stoffel B, Fortes P R, et al. Numerical and experimental investigations on the cavitating flow in a cascade of hydrofoils. Exp Fluids, 2002, 33: 578–586
Park S, Rhee S H. Numerical analysis of the three-dimensional cloud cavitating flow around a twisted hydrofoil. Fluid Dyn Res, 2013, 45: 1–10
Ji B, Luo X, Wu Y, et al. Numerical analysis of unsteady cavitating turbulent flow and shedding horse-shoe vortex structure around a twisted hydrofoil. Int J Multiphase Flow, 2013, 51: 33–43
Zhang X B, WU Z, Xiang S J, et al. Modeling cavitation flow of cryogenic fluids with thermodynamic phase-change theory. Chin Sci Bull, 2013, 58: 567–574
Hosangadi A, Ahuja V. Numerical study of cavitation in cryogenic fluids. J Fluid Eng Trans ASME, 2005, 127: 267–281
Wu J Y, Wang G Y, Shyy W. Time-dependent turbulent cavitating flow computations with interfacial transport and filter-based models. Int J Numer Meth Fl, 2005, 49: 739–761
Tseng, C C. Turbulence and cavitation models for time-dependent turbulent cavitating flow. Acta Mech Sinica, 2011, 4: 473–487
Leroux J B, Astolfi J A, Billard J Y. An experimental study of unsteady partial cavitation. J Fluids Eng Trans ASME, 2004, 126: 94–101
Ji B, Luo X W, Peng X X, et al. Three-dimensional large eddy simulation and vorticity analysis of unsteady cavitating flow around a twisted hydrofoil. J Hydrod, 2013, 25: 510–519
Huang B, Yin L Y, Wang G Y, et al. Combined experimental and computational investigation of unsteady structure of sheet/cloud cavitation. J Fluids Eng Trans ASME, 2013, 135: 0713017
Leroux J B, Coutier D O, Astolfi J A. A joint experimental and numerical study of mechanisms associated to instability of partial cavitation on two-dimensional hydrofoil. Phys Fluids, 2005, 17, 052101: 1–8
Callenaere M, Franc J P, Michel J. The cavitation instability induced by the development of a re-entrant jet. J Fluid Mech, 2001, 444: 223–256
Kubota A, Kato H, Yamaguchiy H. A new modelling of cavitating flows: a numerical study of unsteady cavitation on a hydrofoil section. J Fluid Mech, 1992, 240: 59–96
Ji B, Luo X W, Wu Y L. Unsteady cavitating flow around a hydrofoil simulated using the partially-averaged Navier-Stokes model. Chin Phys Lett, 2012, 076401: 1–5
Huang B, Wang G Y. Experimental and numerical investigation of unsteady cavitating flows through a 2D hydrofoil. Sci China Tech Sci, 2011, 54: 1801–1812
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Zhang, X., Zhang, W., Chen, J. et al. Validation of dynamic cavitation model for unsteady cavitating flow on NACA66. Sci. China Technol. Sci. 57, 819–827 (2014). https://doi.org/10.1007/s11431-014-5506-4
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DOI: https://doi.org/10.1007/s11431-014-5506-4