Abstract
Magneto-Acoustic Mixing Technology is a novel manufacturing method that combines two magnetic fields to produce high-intensity sonication for liquid-state materials processing. This method may be adapted to the manufacture of various materials that benefit from a combination of high temperature, magnetic fields, and acoustic energy. In this work, acoustic generation mechanisms are described in detail and found to be dependent on the skin depth of the induction currents. Analytical models of acoustic pressure are derived, based on two mutually exclusive vibration mechanisms, crucible and melt vibration. Additionally, grain size evidence of acoustic pressure distribution is presented as preliminary model validation.
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W. J. Joost, JOM 2012, vol. 64, p.1032–38.
N. Hari Babu, Z. Fan, and D.G. Eskin: in TMS2013 Annual Meeting Supplemental Proceedings, San Antonio, TX, 2013, pp. 1037–44.
H. Emmerich, H. Lowen, R. Wittkowski, T. Gruhn, G. I. Toth, G. Tegze and L. Granasy, Advances in Physics 2012, vol. 61, pp. 665–743.
W. H. Sillekens, D. J. Jarvis, A. Vorozhtsov, V. Bojarevics, C. F. Badini, M. Pavese, S. Terzi, L. Salvo, L. Katsarou, and H. Dieringa, Metall. Mater. Trans. A-Phys. Metall. Mater. Sci. 2014, vol. 45A, pp. 3349–61.
P. Gillon, Mater. Sci. Eng. A-Struct. Mater. Prop. Microstruct. Process. 2000, vol. 287, p.146–52.
S. Asai, Model. Simul. Mater. Sci. Eng. 2004, vol. 12, pp. R1–12.
M. J. Li, T. Tamura and K. Miwa, Metall. Mater. Trans. A 2009, vol. 40A, pp. 1422–35.
T. Sugiyama, M. Tahashi, K. Sassa and S. Asai, ISIJ Int. 2003, vol. 43, pp. 855–61.
S. Yang, W. J. Liu and J. Jia, J. Mater. Sci. 2001, vol. 36, pp. 5351–55.
Q. Wang, D. G. Li, K. Wang, Z. Y. Wang and J. C. He, Scripta Mater. 2007, vol. 56, p.485–8.
X. Li, Z. M. Ren and Y. Fautrelle, J. Cryst. Growth 2006, vol. 290, pp. 571–5.
K. S. Suslick and G. J. Price, Annu. Rev. Mater. Sci. 1999, vol. 29, p.295-326.
A. Gedanken, Ultrason. Sonochem. 2004, vol. 11, pp. 47–55.
M. De Cicco, H. Konishi, G. P. Cao, H. S. Choi, L. S. Turng, J. H. Perepezko, S. Kou, R. Lakes and X. C. Li, Metall. Mater. Trans. A 2009, vol. 40A, pp. 3038–45.
K. B. Nie, X. J. Wang, K. Wu, L. Xu, M. Y. Zheng and X. S. Hu, J. Alloy. Compd. 2011, vol. 509, pp. 8664–69.
Y. Yang and X. C. Li, J. Manuf. Sci. Eng.-Trans. ASME 2007, vol. 129, pp. 252–5.
M. Qian, A. Ramirez, and A. Das, J. Cryst. Growth 2009, vol. 311, pp. 3708–15.
M. Li, T. Tamura and K. Miwa, Acta Mater. 2007, vol. 55, pp. 4635–43.
R. Jaramillo, R. Kisner, Ge. Ludtka, Ga. Ludtka, and J. Wilgen: USA Patent 7534980, 2009.
H. B. Henderson, O. Rios, Z. L. Bryan, C. P. Heitman, G. M Ludtka, G. Mackiewicz-Ludka, A. M. Melin and M. V. Manuel, Adv. Eng. Mater. 2014, vol. 16, pp. 1076–82.
J. S. Park, S. Taniguchi and Y. J. Park, J. Phys. D-Appl. Phys. 2009, vol. 42, p. 6.
P.M. Shearer: Introduction to Seismology, 2nd ed., Cambridge University Press, Cambridge, 2009.
Q. L. Wang, L. G. Yan, B. Z. Zhao, S. S. Song and Y. Z. Lei, IEEE T. Appl. Supercon. 2004, vol. 14, pp. 372–5.
C. Vivés, Metall. Mater. Trans. B 1996, vol. 27B, pp. 457–64.
C. Vivés, Metall. Mater. Trans. B 1996, vol. 27B, pp. 445–55.
M. J. Li, T. Tamura, N. Omura and K. Miwa, J. Alloy. Compd. 2010, vol. 494, p.116-22.
L. Cartz: Nondestructive Testing: Radiography, Ultrasonics, Liquid Penetrant, Magnetic Particle, Eddy Current, ASM International, 1995.
M.V. Brook: Ultrasonic Inspection Technology Development and Search Unit Design: Examples of Practical Applications. (Wiley-IEEE Press, New York, 2011.
G.I. Eskin: Ultrasonic Treatment of Light Alloy Melts, Gordon and Breach Science Publishers, Amsterdam, 1998.
L. Nastac, Metall. Mater. Trans. B 2011, vol. 42B, pp. 1297–305.
M. S. Plesset and A. Prosperetti, Annu. Rev. Fluid Mech. 1977, vol. 9, p.145-85.
G. I. Eskin, Adv. Perform. Mater. 1997, vol. 4, pp. 223–32.
H. G. Flynn, J. Acoust. Soc. Am. 1975, vol. 58, pp. 1160–70.
G. I. Eskin, Ultrason. Sonochem. 1995, vol. 2, pp. S137–41.
T. B. Benjamin and A. T. Ellis, Philosophical Transactions of the Royal Society of London Series a-Mathematical and Physical Sciences 1966, vol. 260, pp. 221–40.
J.C.R. Hunt and Sherclif J.A., Annu. Rev. Fluid Mech. 1971, vol. 3, p.37-62.
K.R. Cramer and S.-I. Pai: Magnetofluid Dynamics for Engineers and Applied Physicists, Scripta Publishing Company, 1973.
P.A. Davidson: An Introduction to Magnetohydrodynamics, Cambridge University Press, Cambridge, 2001.
D. H. Matthiesen, M. J. Wargo, S. Motakef, D. J. Carlson, J. S. Nakos and A. F. Witt, J. Cryst. Growth 1987, vol. 85, p.557-560.
T. Emi and H. Shibata: in Solidification and Casting, B. O’Reilly, K. Cantor, eds., Institute of Physics Publishing: London, 2003, pp. 286–88.
H. Esaka, T. Wakabayashi, K. Shinozuka and M. Tamura, ISIJ Int. 2003, vol. 43, p.1415-1420.
B.Q. Li, JOM 1998, vol. 50, p.1-13.
D. Samanta and N. Zabaras, Int. J. Heat Mass Transf. 2006, vol. 49, p.4850-4866.
H.W. Deng, Y.J. Zhao, C.J. Liang, W.S. Jiang and Y.M. Ning, Prog. Electromagn. Res. M 2009, vol. 9, p.1-8.
P.G. Simpson: Induction Heating: Coil and System Design, McGraw-Hill, New York, 1960.
A. Gupta: Risk Management and Simulation, CRC Press, Boca Raton, FL, 2013.
Y. Mizutani, J. Kawata, K. Miwa, K. Yasue, T. Tamura and Y. Sakaguchi, J. Mater. Res. 2004, vol. 19, p.2997-3003.
M. J. Li, T. Tamura, N. Omura and K. Miwa, J. Alloy. Compd. 2009, vol. 487, p.187-193.
M. J. Li, T. Tamura and K. Miwa, J. Mater. Res. 2009, vol. 24, p.145-155.
G. I. Eskin, Ultrason. Sonochem. 2001, vol. 8, p.319-325.
D.J. Griffiths: Introduction to Electrodynamics, Prentice-Hall, USA, 1999.
W. Young and R. Budynas: Roark’s Formulas for Stress and Strain, 7th ed., McGraw-Hill, New York, 2001.
F.E. Tse, I.E. Morse, and R.T. Hinke: Mechanical Vibrations: Theory and Applications, Allyn & Bacon, Boston, NY, 1978.
H. T. Zhang, H. Nagaumi, Y. B. Zuo and J. Z. Cui, Mater. Sci. Eng. A-Struct. Mater. Prop. Microstruct. Process. 2007, vol. 448, p.189-203.
K. McManus, A. Williams, M. Cross, N. Croft and C. Walshaw, Int. J. High Perform. C. 2005, vol. 19, p.1-27.
C. Bailey, P. Chow, M. Cross, Y. Fryer and K. Pericleous, P. Roy. Soc. A-Math. Phy. 1996, vol. 452, p.459-486.
Acknowledgments
The authors would like to thank Dr. Zachary L Bryan for his experimental support and Professors Curtis Taylor and Simon Phillpot for their thoughtful comments. The authors acknowledge support by the Advanced Manufacturing Office (AMO) in the Office of Energy Efficiency and Renewable Energy (EERE), as part of the Department of Energy (DOE). Facilities were provided by the Manufacturing Demonstration Facility (MDF) at Oak Ridge National Laboratory (ORNL). This material is based upon work supported by the National Science Foundation under grant numbers DMR-0845868. The research sponsored was in part by the U.S. Department of Energy, Office of Energy Efficiency and Renewable Energy, Advanced Manufacturing Office, under contract DE-AC05-00OR22725 with UT-Battelle, LLC.
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Manuscript submitted May 4, 2014.
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Henderson, H.B., Rios, O., Ludtka, G.M. et al. Investigation and Analytical Description of Acoustic Production by Magneto-Acoustic Mixing Technology. Metall Mater Trans B 46, 2020–2027 (2015). https://doi.org/10.1007/s11663-015-0359-1
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DOI: https://doi.org/10.1007/s11663-015-0359-1