2010-07-22
Strong Magnetic Field Induced Segregation and Self-Assembly of Micrometer Sized Non-Magnetic Particles
By
Progress In Electromagnetics Research B, Vol. 23, 199-214, 2010
Abstract
Micrometer and sub-micrometer sized non-magnetic particles were manipulated by an external strong magnetic field (e.g. 10 Tesla) with a high gradient. During the strong magnetic field effects, segregation of the non-magnetic particles was observed which could not be realised only with gravitational field. Numerical calculations were subsequently carried out to understand the effects on the insulating particles in a conductive liquid matrix. The migration of micrometer sized particles is obviously enhanced by the magnetic field gradient. Combining the experimental results and theoretical analysis, particle-particle magnetic interaction was found to influence the overall segregation of the particles as well. Magnetised by the strong magnetic field, magnetic interaction between non-magnetic particles becomes dominant and a self-assembly behavior can be demonstrated. Various factors such as the magnetic dipole-dipole interaction and chain-chain interaction, are governing the particles assembly. According to calculations, magnetic field should be strong enough, at least 7 T in order to obtain the assembly morphologies in the present case.
Citation
Zhi Sun, Muxing Guo, Jef Vleugels, Omer Van der Biest, and Bart Blanpain, "Strong Magnetic Field Induced Segregation and Self-Assembly of Micrometer Sized Non-Magnetic Particles," Progress In Electromagnetics Research B, Vol. 23, 199-214, 2010.
doi:10.2528/PIERB10062104
References

1. Asai, S., K. Sassa, and M. Tahashi, "Crystal orientation of non-magnetic materials by imposition of a high magnetic field," Science and Technology of Advanced Materials, Vol. 4, 455-460, 2003.
doi:10.1016/j.stam.2003.07.001        Google Scholar

2. Motokawa, M., "Physics in high magnetic fields," Rep. Prog. Phys., Vol. 67, 1995-2052, 2004.
doi:10.1088/0034-4885/67/11/R02        Google Scholar

3. Hangarter, C. M., Y. Rheem, B. Yoo, E. Yang, and N. V. Myung, "Hierarchical magnetic assembly of nanowires," Nanotechnology, Vol. 18, 205305, 2007.
doi:10.1088/0957-4484/18/20/205305        Google Scholar

4. Ren, Z., X. Li, Y. Sun, Y. Gao, K. Deng, and Y. Zhong, "Influence of high magnetic field on peritectic transformation during solidification of Bi-Mn alloy," Calphad, Vol. 30, 277-285, 2006.
doi:10.1016/j.calphad.2006.03.004        Google Scholar

5. Reitz, J. R. and F. J. Milford, Foundations of Electromagnetic Theory, Addison-Wesley Publishing Company, 1962.

6. Larachi, F. and M. C. Munteanu, "Magnetic emulation of microgravity for earth-bound multiphase catalytic reactor studies potentialities and limitations," AIChE J., Vol. 55, 1200-1216, 2009.
doi:10.1002/aic.11752        Google Scholar

7. Sun, Z., L. Zhang, M. Guo, J. Vleugels, O. van der Biest, and B. Blanpain, "Non-magnetic anisotropic-materials preparation by a strong magnetic field during the solidification of a hypereutectic Al-Cu alloy," EPL, Vol. 89, 64002, 2010.
doi:10.1209/0295-5075/89/64002        Google Scholar

8. Takayama, T., Y. Ikezoe, H. Uetake, N. Hirota, and K. Kitazawa, "Self-organization of nonmagnetic spheres by magnetic field," Appl. Phys. Lett., Vol. 86, 234103-234103, 2005.
doi:10.1063/1.1947371        Google Scholar

9. Berry, M. V. and A. K. Geim, "Of flying frogs and levitrons," Eur. J. Phys., Vol. 18, 307-313, 1997.
doi:10.1088/0143-0807/18/4/012        Google Scholar

10. Crangle, J., The Magnetic Properties of Solids, Edwad Arnold Limited, 1977.

11. Bishop, K. J. M., C. E. Wilmer, S. Soh, and B. A. Grzybowski, "Nanoscale forces and their uses in self-assembly," Small, Vol. 5, 1600-1630, 2009.
doi:10.1002/smll.200900358        Google Scholar

12. Hill, R. J. A., V. L. Sedman, S. Allen, P. Williams, M. Paoli, L. Adler-Abramovich, E. Gazit, L. Eaves, and S. J. B. Tendler, "Alignment of aromatic peptide tubes in strong magnetic fields," Advanced Materials, Vol. 19, 4474-4479, 2007.
doi:10.1002/adma.200700590        Google Scholar

13. Boamfa, M. I., S. V. Lazarenko, E. C. M. Vermolen, A. Kirilyuk, and T. Rasing, "Magnetic field alignment of liquid crystals for fast display applications," Advanced Materials, Vol. 17, 610-614, 2005.
doi:10.1002/adma.200400954        Google Scholar

14. Garmestani, H., M. S. Al-Haik, K. Dahmen, R. Tannenbaum, D. Li, S. S. Sablin, and M. Y. Hussaini, "Polymer-mediated alignment of carbon nanotubes under high magnetic fields," Advanced Materials, Vol. 15, 1918-1921, 2003.
doi:10.1002/adma.200304932        Google Scholar

15. Yamaguchi, M. and Y. Tanimoto, Magneto-science (Magnetic Field Effects on Materials: Fundamentals and Applications), Springer-Verlag, 2006.

16. Sun, Z., M. Guo, F. Verhaeghe, J. Vleugels, O. van der Biest, and B. 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        Google Scholar

17. 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        Google Scholar

18. 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        Google Scholar

19. Sun, Z., M. Guo, J. Vleugels, O. van der Biest, and B. Blanpain, "Numerical simulations of the `strong magnetic field effects' on micrometer sized insulating (inert) particle(s) moving in a conductive fluid," Physical Review E, submitted, 2010.        Google Scholar

20. Maki, S., M. Ataka, T. Tagawa, and H. Ozoe, "Natural convection of a paramagnetic liquid controlled by magnetization force," AIChE J., Vol. 51, 1096-1103, 2005.
doi:10.1002/aic.10460        Google Scholar

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

22. Weast, R. C., M. J. Astle, and W. H. Beyer, CRC handbook of Chemistry and Physics, CRC Press, Inc., 1983--1984.

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, 73-76, 2008.
doi:10.1016/j.matlet.2007.04.070        Google Scholar

24. Ghauri, S. and M. Ansari, "Increase of water viscosity under the influence of magnetic field," Journal of Applied Physics, Vol. 100, 066101-066102, 2006.
doi:10.1063/1.2347702        Google Scholar

25. Yasuda, H., I. Ohnaka, O. Kawakami, K. Ueno, and K. Kishio, "Effect of magnetic field on solidification in Cu-Pb monotectic alloys," ISIJ Inter., Vol. 43, 942-949, 2003.
doi:10.2355/isijinternational.43.942        Google Scholar

26. Davidson, P. A., An introduction to Magnetohydrodynamics, Cambridge University Press, 2001.
doi:10.1017/CBO9780511626333

27. 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," Nat. Mater., Vol. 2, 88-91, 2003.
doi:10.1038/nmat811        Google Scholar

28. 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        Google Scholar