Abstract
Ultrasonic cavitation is known to improve significantly the downstream properties and quality of metallic materials. The transfer of this technology to industry has however been hindered by difficulties in treating large volumes of liquid metal. To improve understanding of cavitation efficiency so that it can be applied to a moving melt volume, an improved cavitation model derived from the Keller-Miksis equation is developed, and applied to the two-phase problem of bubble breakup and propagation in the melt. Numerical simulations of the ultrasonic field are performed and the calculated acoustic pressure is applied to the source term of the bubble transport equation to predict the generation, propagation, and collapse of cavitation bubbles in the melt. The use of baffles to modify the flow pattern and amplify sound waves in a launder conduit is examined, to determine the optimum configuration that maximizes residence time of the liquid in high cavitation activity regions.
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References
G. Eskin, Ultrasonic Treatment of Light Alloy Melts, Amsterdam: Gordon and Breach, 1998.
J. Campbell, “Effects of vibration during solidification,” Int. Met. Rev., vol. 26, p. 71, 1981.
N. Alba-Baena and D. Eskin, “Kinetics of ultrasonic degassing of aluminum alloys,” in Light Metals 2013, John Wiley & Sons, Inc., 2013, pp. 957--962.
G. I. Eskin, “Cavitation mechanism of ultrasonic melt degassing,” Ultrasonics Sonochemistry, vol. 2, no. 2, pp. S137--S141, 1995.
Y.-C. Wang and C. Brennen, “The noise generated by the collapse of a cloud of cavitation bubbles,” in American Society of Mechanical Engineers, 1995.
S. Komarov, K. Oda, Y. Ishiwata and N. Dezhkunov, “Characterization of acoustic cavitation in water and molten aluminum alloy,” Ultrasonics Sonochemistry, vol. 20, no. 2, pp. 754--761, 2013.
I. Senocak and W. Shyy, “Evaluation of cavitation models for Navier-Stokes computations,” in ASME 2002 Joint US-European Fluids Engineering Division Conference, Montreal, 2002.
I. Senocak and W. Shyy, “A pressure-based method for turbulent cavitating flow computations,” Journal of Computational Physics, vol. 176, no. 2, pp. 363--383, 2002.
C. L. Merkle, J. Feng and P. Buelow, “Computational modeling of the dynamics of sheet cavitation,” in 3rd International Symposium on Cavitation, Grenoble, 1998.
V. Ahuja, A. Hosangadi and S. Arunajatesan, “Simulations of cavitating flows using hybrid unstructured meshes,” Journal of Fluids Engineering, vol. 123, no. 2, pp. 331--340, 2001.
R. Kunz, D. Boger, D. Stinebring, T. Chyczewski, J. Lindau, H. Gibeling, S. Venkateswaran and T. Govindan, “A preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction,” Computers & Fluids, vol. 29, no. 8, pp. 849--875, 2000.
A. Singhal, M. Athavale, H. Li and Y. Jiang, “Mathematical basis and validation of the full cavitation model,” Journal of Fluids Engineering, vol. 124, no. 3, pp. 617--624, 2002.
M. Athavale, Y. Jiang, H. Li and A. Singhal, “Application of the full cavitation model to pumps and inducers,” Int. J. Rot. Mach., vol. 8, no. 1, pp. 45--56, 2002.
M. S. Plesset, “The dynamics of cavitation bubbles,” J. Appl. Mech., vol. 16, p. 227, 1949.
M. S. Plesset and A. Prosperetti, “Bubble dynamics and cavitation,” Annual Review of Fluid Mechanics, vol. 9, pp. 145--185, 1977.
C. Brennen, Cavitation and Bubble Dynamics, Oxford: Oxford University Press, 1995.
J.-P. Franc and J.-M. Michel, Fundamentals Of Cavitation, Kluwer Academic Publishers, 2004.
L. Nastac, “Mathematical modelling of the solidification structure evolution in the pressence of ultrasonic stirring,” Metall. Mater. Trans. B, vol. 42, no. 6, pp. 1297--1305, 2011.
J. B. Keller and M. Miksis, “Bubble oscillations of large amplitude,” The Journal of the Acoustical Society of America, vol. 68, no. 2, pp. 628--633, 1980.
B. E. Launder and D. B. Spalding, “The numerical computation of turbulent flows,” Computer methods in applied mechanics and engineering, vol. 3, no. 2, pp. 269--s289, 1974.
W. Wu, I. Tzanakis, P. Srirangam, S. Terzi, W. Mirihanage, D. G. Eskin and P. Lee, “In situ synchrotron radiography of ultrasound cavitation in a molten Al-10Cu alloy,” in TMS Annual Meeting, Orlando (submitted), 2015.
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Lebon, G.S.B., Pericleous, K., Tzanakis, I., Eskin, D. (2015). A Model of Cavitation for the Treatment of a Moving Liquid Metal Volume. In: Nastac, L., et al. Advances in the Science and Engineering of Casting Solidification. Springer, Cham. https://doi.org/10.1007/978-3-319-48117-3_4
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DOI: https://doi.org/10.1007/978-3-319-48117-3_4
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