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2010-04-07
Magnetic Interaction Between Two Non-Magnetic Particles Migrating in a Conductive Fluid Induced by a Strong Magnetic Field-an Analytical Approach
By
Progress In Electromagnetics Research, Vol. 103, 1-16, 2010
Abstract
An analytical approach is developed in the present paper to investigate the interaction between two non-magnetic particles migrating in a conductive fluid due to an imposed strong magnetic field (e.g., 10 Tesla). The interaction between the conductive fluid and a single particle migrating along the magnetic lines is influenced by the magnetic field and can be represented by an additional fluid viscosity. Thus the effective fluid viscosity is discussed and the magnetic field effect on the particle migrating velocity is examined. For two particles, two kinds of magnetic forces are induced: namely, the attractive force due to the magnetisation and the repulsive force caused by the conductive fluid flow around the non-magnetic particles. The forces are then evaluated with the consideration of the magnetic field effect on the particle migration and become significant with the increase of the magnetic flux density. The counteracting behavior with a critical particle size of the interparticle magnetic forces is discussed and compared with different magnetic field densities and gradient values.
Citation
Zhi Sun, Muxing Guo, Frederik Verhaeghe, Jef Vleugels, Omer Van der Biest, and Bart Blanpain, "Magnetic Interaction Between Two Non-Magnetic Particles Migrating in a Conductive Fluid Induced by a Strong Magnetic Field-an Analytical Approach," Progress In Electromagnetics Research, Vol. 103, 1-16, 2010.
doi:10.2528/PIER10022607
References

1. Hill, R., V. Sedman, S. Allen, et al. "Alignment of aromatic peptide tubes in strong magnetic fields," Advanced Materials, Vol. 19, No. 24, 4474-4479, 2007.
doi:10.1002/adma.200700590

2. Boamfa, M., S. Lazarenko, E. Vermolen, A. Kirilyuk, and T. Rasing, "Magnetic field alignment of liquid crystals for fast display applications," Advanced Materials, Vol. 17, No. 5, 610-614, 2005.
doi:10.1002/adma.200400954

3. Butter, K., P. Bomans, P. M. Frederik, G. J. Vroege, and A. P. Philipse, "Direct observation of dipolar chains in iron ferrofluids by cryogenic electron microscopy," Nature Materials, Vol. 2, No. 2, 88-91, 2003.
doi:10.1038/nmat811

4. Fang, W., Z. He, X. Xu, Z. Mao, and H. Shen, "Magnetic-field-induced chain-like assembly structures of Fe3O4 nanoparticles," EPL, Vol. 77, 68004, 2007.
doi:10.1209/0295-5075/77/68004

5. Yellen, B., O. Hovorka, and G. Friedman, "Arranging matter by magnetic nanoparticle assemblers," Proceedings of the National Academy of Sciences of the United States of America, Vol. 102, No. 25, 8860-8864, 2005.
doi:10.1073/pnas.0500409102

6. Yavuz, C. T., J. T. Mayo, W. W. Yu, et al. "Low-field magnetic separation of monodisperse Fe3O4 nanocrystals," Science, Vol. 314, 964-967, 2006.
doi:10.1126/science.1131475

7. Li, X., Z. Ren, and Y. Fautrelle, "Alignment behavior of the primary Al3Ni phase in Al-Ni alloy under a high magnetic field," Journal of Crystal Growth, Vol. 310, No. 15, 3488-3497, 2008.
doi:10.1016/j.jcrysgro.2008.04.038

8. Yasuda, H., I. Ohnaka, O. Kawakami, K. Ueno, and K. Kishio, "Effect of magnetic field on solidification in Cu-Pb monotectic alloys ," ISIJ International, Vol. 43, No. 6, 942-949, 2003.
doi:10.2355/isijinternational.43.942

9. Takayama, T., Y. Ikezoe, H. Uetake, N. Hirota, and K. Kitazawa, "Interactions among magnetic dipoles induced in feeble magnetic substances under high magnetic fields," Physica B, Vol. 346, No. 347, 272-276, 2004.
doi:10.1016/j.physb.2004.01.064

10. Jin, F., Z. Ren, W. Ren, K. Deng, Y. Zhong, and J. Yu, "Effects of a high-gradient magnetic field on the migratory behavior of primary crystal silicon in hypereutectic Al-Si alloy," Science and Technology of Advanced Materials, Vol. 9, 024202, 2008.
doi:10.1088/1468-6996/9/2/024202

11. Ren, Z., X. Li, Y. Sun, Y. Gao, K. Deng, and Y. Zhong, "In°uence of high magnetic field on peritectic transformation during solidification of Bi-Mn alloy," Calphad, Vol. 30, No. 3, 277-285, 2006.
doi:10.1016/j.calphad.2006.03.004

12. Iwai, K., J. Akiyama, M. Sung, I. Furuhashi, and S. Asai, "Application of a strong magnetic field on materials fabrication and experimental simulation ," Science and Technology of Advanced Materials, Vol. 7, No. 4, 365-368, 2006.
doi:10.1016/j.stam.2006.01.011

13. Takayama, T., Y. Ikezoe, H. Uetake, N. Hirota, and K. Kitazawa, "Self-organization of nonmagnetic spheres by magnetic field," Applied Physics Letters, Vol. 86, No. 23, 234103-234103, 2005.
doi:10.1063/1.1947371

14. Sun, Z., T. Kokalj, M. Guo, F. Verhaeghe, O. Van der Biest, B. Blanpain, and K. Van Reusel, "Effect of the strong magnetic field on the magnetic interaction between two non-magnetic particles migrating in a conductive fluid," EPL, Vol. 85, 14002, 2009.
doi:10.1209/0295-5075/85/14002

15. Sun, Z., M. Guo, T. Kokalj, O. Van der Biest, and B. Blanpain, "Migration and interaction behavior of electrical-insulating particles in a conductive melt under strong magnetic field with high gradient," EPD Congress 2009, TMS 2009, S. Howard, P. Anyalebechi, and L. Zhang (eds.), 785-792, San Francisco, CA, Feb. 15-19, 2009.

16. Ravaud, R. and G. Lemarquand, "Magnetic field in MRI yokeless devices: Analytical approach," Progress In Electromagnetics Research, Vol. 94, 327-341, 2009.
doi:10.2528/PIER09061205

17. Huang, H., Y. Fan, F. Kong, B.-I. Wu, and J. A. Kong, "Influence of external magnetic field on a symmetrical gyrotropic slab in terms of goos-hanchen shifts," Progress In Electromagnetics Research, Vol. 82, 137-150, 2008.
doi:10.2528/PIER08022605

18. Stuhler, J., A. Griesmaier, T. Koch, M. Fattori, T. Pfau, S. Giovanazzi, P. Pedri, and L. Santos, "Observation of dipole-dipole interaction in a degenerate quantum gas," Physical Review Letters, Vol. 95, 150406, 2005.
doi:10.1103/PhysRevLett.95.150406

19. Sharma, M., Govind, A. Pratap, et al. "Role of dipole-dipole interaction on the magnetic dynamics of anisotropic layered cuprate antiferromagnets," Physica Status Solidi (B), Basic Research, Vol. 226, No. 1, 193-202, 2001.
doi:10.1002/1521-3951(200107)226:1<193::AID-PSSB193>3.0.CO;2-I

20. Totten, G. E. and D. Scott, Handbook of Aluminum, Marcel Dekker, Inc., New York, United States, 2003.

21. Weast, R. C., M. J. Astle, and W. H. Beyer, "CRC Handbook of Chemistry and Physics," CRC Press, Inc., Florida, USA, 1983-1984.

22. Yamaguchi, M. and Y. Tanimoto, Magneto-Science (Magnetic Field E®ects on Materials: Fundamentals and Applications), Springer-Verlag Berlin Heidelberg, New York, 2006.

23. Sun, C., H. Geng, N. Zhang, X. Teng, and L. Ji, "Viscous feature of Sb-Bi alloy under magnetic field," Materials Letters, Vol. 62, No. 1, 73-76, 2008.
doi:10.1016/j.matlet.2007.04.070

24. Ghauri, S. and M. Ansari, "Increase of water viscosity under the influence of magnetic field," Journal of Applied Physics, Vol. 100, No. 6, 066101-066102, 2006.
doi:10.1063/1.2347702

25. Chester, W., "The effect of a magnetic field on Stokes flow in a conducting fluid ," Journal of Fluid Mechanics, Vol. 3, 304-308, 1957.
doi:10.1017/S0022112057000671

26. Sun, Z., M. Guo, J. Vleugels, O. Van der Biest, and B. Blanpain, "Numerical calculations on inclusion removal from liquid metals under strong magnetic ¯elds," Progress In Electromagnetics Research, Vol. 98, 359-373, 2009.
doi:10.2528/PIER09100501

27. Asai, S., "Application of high magnetic fields in inorganic materials processing," Modeling and Simulation in Materials Science and Engineering, Vol. 12, 1-12, 2004.
doi:10.1088/0965-0393/12/2/R01

28. Snezhko, A., I. Aranson, and W. Kwok, "Dynamic self-assembly of magnetic particles on the fluid interface: Surface-wave-mediated effective magnetic exchange," Physical Review E, Vol. 73, 041306, 2006.
doi:10.1103/PhysRevE.73.041306