No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Stochastic-field cavitation model
1. Lord Rayleigh, “On the pressure developed in a liquid during the collapse of a spherical cavity,” Philos. Mag. 34, 94–98 (1917).
2. M. Bailey, V. Khokhlova, O. Sapozhnikov, S. Kargl, and L. Crum, “Physical mechanisms of the therapeutic effect of ultrasound (a review),” Acoust. Phys. 49(4), 369–388 (2003).
4. A. Spillman, “An environmentally friendly tool for the textile industry,” Agric. Res. 51(2), 10 (2003).
5. A. G. Chakinala, P. R. Gogate, A. E. Burgess, and D. H. Bremner, “Treatment of industrial wastewater effluents using hydrodynamic cavitation and the advanced Fenton process,” Ultrason. Sonochem. 15(1), 49–54 (2008).
6. I. Biluš and A. Predin, “Numerical and experimental approach to cavitation surge obstruction in water pump,” Int. J. Numer. Methods Heat Fluid Flow 19(6–7), 818–834 (2009).
7. J.-H. Kim, I. Masao, E. Naoki, I. Koichi, W. Satoshi, and F. Akinori, “Suppression of cavitation surge of inducer by inserting axi-asymmetric obstacle plate,” Nihon Kikai Gakkai Ryutai Kogaku Bumon Koenkai Koen Ronbunshu (CD-ROM).
9. W. Satoshi, E. Naoki, I. Koichi, F. Akinori, and J.-H. Kim, “Suppression of cavitation surge of a helical inducer occurring in partial flow conditions,” Turbomachinery 32(2), 94–100 (2004).
10. S. Bernad, R. Susan-resiga, S. Muntean, and I. Anton, “Cavitation phenomena in hydraulic valves. Numerical modelling,” Proceedings of the Romanian academy, series A, Vol. 8(2), 2, (2007).
11. J. P. Tullis, “Choking and supercavitating valves,” J. Hydr. Div. 97(12), 1931–1945 (1971).
12. J.-P. Franc and J.-M. Michel, Fundamentals Of Cavitation (Springer, 2004).
13. C. Brennen, Cavitation and Bubble Dynamics (Mcgraw Hill Book Co, 1995).
14. A. M. Kamp, A. K. Chesters, C. Colin, and J. Fabre, “Bubble coalescence in turbulent flows: A mechanistic model for turbulence-induced coalescence applied to microgravity bubbly pipe flow,” Int. J. Multiphase Flow 27(8), 1363–1396 (2001).
16. C. Martínez-Bazán, J. L. Montanes, and J. C. Lasheras, “On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency,” J. Fluid Mech. 401(1), 157–182 (1999).
18. Y. Delannoy and J. L. Kueny, “Two-phase flow approach in unsteady cavitation modelling,” in Cavitation and Multiphase Flow Forum (American Society of Mechanical Engineers, 1990), Vol. 98, pp. 153–158.
20. S. Hickel, M. Mihatsch, and S. Schmidt, “Implicit large eddy simulation of cavitation in micro channel flows,” in WIMRC (University of Warwick, 2011).
21. R. F. Kunz, D. A. Boger, D. R. Stinebring, T. S. Chyczewski, J. W. Lindau, H. J. Gibeling, S. Venkateswaran, and T. R. Govindan, “A preconditioned Navier–Stokes method for two-phase flows with application to cavitation prediction,” Comput. Fluids 29(8), 849–875 (2000).
22. W. Yuan, J. Sauer, and G. H. Schnerr, “Modeling and computation of unsteady cavitation flows in injection nozzles,” Mec. Ind. Mater. 2(5), 383–394 (2001).
23. A. K. Singhal, M. M. Athavale, H. Li, and Y. Jiang, “Mathematical basis and validation of the full cavitation model,” J. Fluids Eng. 124(3), 617 (2002).
24. R. S. Meyer, M. L. Billet, and J. W. Holl, “Freestream nuclei and traveling-bubble cavitation,” J. Fluids Eng. 114(4), 672–679 (1992).
25. A. Kubota, H. Kato, and H. Yamaguchi, “A new modelling of cavitating flows: A numerical study of unsteady cavitation on a hydrofoil section,” J. Fluid Mech. 240, 59–96 (1992).
27. R. Bannari, “Cavitation modelling based on Eulerian-Eulerian multiphase flow,” Ph.D. dissertation (Université de Sherbrooke, 2011).
34. L. Valiño, “A field Monte Carlo formulation for calculating the probability density function of a single scalar in a turbulent flow,” Flow, Turbul. Combust. 60(2), 157–172 (1998).
37. M. Bini, W. P. Jones, and C. Lettieri, “Large eddy simulation of spray atomization with stochastic modelling of breakup,” Proc. Eur. Combust. Meet. 22(11), 115–106 (2009).
39. A. H. Harvey and D. G. Friend, “Chapter 1-Physical properties of water,” in Aqueous Systems at Elevated Temperatures and Pressures (Academic Press, London, 2004), pp. 1–27.
40. Y. Saito, R. Takami, I. Nakamori, and T. Ikohagi, “Numerical analysis of unsteady behavior of cloud cavitation around a NACA0015 foil,” Comput. Mech. 40(1), 85–96 (2007).
41. H. Shamsborhan, O. Coutier-Delgosha, G. Caignaert, and F. Abdel Nour, “Experimental determination of the speed of sound in cavitating flows,” Exp. Fluids 49(6), 1359–1373 (2010).
43. R. Balasubramaniam and NASA Glenn Research Center, Two Phase Flow Modeling Summary of Flow Regimes and Pressure Drop Correlations in Reduced and Partial Gravity, NASA/CR-2006-214085 2006.
44. F. F. Grinstein and C. Fureby, “On monotonically integrated large eddy simulation of turbulent flows based on FCT algorithms,” in Flux-Corrected Transport, edited by D. Kuzmin, R. Löhner, and S. Turek (Springer, Berlin, 2005), pp. 79–104.
45. R. Friedrich, B. Geurts, and O. Métais, Direct and Large-Eddy Simulation V (Springer, 2004).
46. A. Jameson, W. Schmidt, and E. Turkel, “Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes,” in AIAA, 14th Fluid and Plasma Dynamics Conference, Palo Alto, CA, 23–25 June 1981 (1981), paper 1259.
48. W. P. Jones and S. Navarro-Martinez, “Large Eddy Simulation and the filtered probability density function method,” AIP Conf. Proc. 1190, 39–62 (2009).
49. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences (Springer-Verlag, 1985).
50. O. Soulard and V. A. Sabel'nikov, “Eulerian Monte Carlo method for the joint velocity and mass-fraction probability density function in turbulent reactive gas flows,” Combust. Explos. Shock Waves 42(6), 753–762 (2006).
53. F. Magagnato, B. Fritz, and M. Gabi, “Prediction of the resonance characteristic of combustion chambers on the basis of large-eddy-simulation,” J. Therm. Sci. 14(2), 156–161 (2005).
54. S. Barre, J. Rolland, G. Boitel, E. Goncalves, and R. F. Patella, “Experiments and modeling of cavitating flows in venturi: Attached sheet cavitation,” Eur. J. Mech. B/Fluids 28(3), 444–464 (2009).
55. J. Fröhlich, Large Eddy Simulation Turbulenter Strömungen (Vieweg/Teubner, Verlag, 2006).
56. A. Dzubur, B. Bajic, and I. Jovanovic, “On the applicability of the Coulter counter to the cavitation nuclei size distribution analysis,” Int. Shipbuild. Prog. 40(422), 165–175 (1993).
57. T. J. O’Hern, L. d’ Agostino, and A. J. Acosta, “Comparison of holographic and coulter counter measurements of cavitation nuclei in the ocean,” American Institute of Aeronautics and Astronautics (Cincinnati, Ohio, 1988).
58. E. Yilmaz, F. G. Hammitt, and A. Keller, “Cavitation inception thresholds in water and nuclei spectra by light-scattering technique,” J. Acoust. Soc. Am. 59(2), 329–338 (1976).
59. L. d’ Agostino and A. J. Acosta, “A cavitation susceptibility meter with optical cavitation monitoring – Part two: Experimental apparatus and results,” J. Fluids Eng. 113, 261 (1991).
61. J. C. R. Hunt, “Vorticity and vortex dynamics in complex turbulent flows,” in Transactions of the Canadian Society for Mechanical Engineering (Canadian Society for Mechanical Engineering, 1987), Vol. 11, pp. 21–35.
Article metrics loading...
Nonlinear phenomena can often be well described using probability density functions (pdf) and pdf transport models. Traditionally, the simulation of pdf transport requires Monte-Carlo codes based on Lagrangian “particles” or prescribed pdf assumptions including binning techniques. Recently, in the field of combustion, a novel formulation called the stochastic-field method solving pdf transport based on Eulerian fields has been proposed which eliminates the necessity to mix Eulerian and Lagrangian techniques or prescribed pdf assumptions. In the present work, for the first time the stochastic-field method is applied to multi-phase flow and, in particular, to cavitating flow. To validate the proposed stochastic-field cavitation model, two applications are considered. First, sheet cavitation is simulated in a Venturi-type nozzle. The second application is an innovative fluidic diode which exhibits coolant flashing. Agreement with experimental results is obtained for both applications with a fixed set of model constants. The stochastic-field cavitation model captures the wide range of pdf shapes present at different locations.
Full text loading...
Most read this month