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Dynamics of a microchain of superparamagnetic beads in an oscillating field

Abstract

The dynamics of microchains containing superparamagnetic particles in an oscillating field are studied experimentally. The chains are first formed by a static directional field, and then manipulated by an additional dynamical perpendicular field. The present methodology represents a simple reversible chaining process, whose particles can be re-dispersed after removal of the field. The motion of superparamagnetic chains is dominated by magnetic torque and induced hydrodynamic drag. The effects of key parameters, such as field strengths and the lengths of particle chains, are thoroughly analyzed. Distinct behaviors, from rigid body oscillations and bending distortions to rupture failures, are observed by increasing the amplitudes of oscillating fields or chains’ lengths. Because of lower induced drag, a shorter chain follows the field trajectory closely and oscillates more synchronically with the external field. On the other hand, the influences of field strengths are not consistent. Even the overall oscillating phase trajectory in a stronger external field deviates less significantly from the corresponding field trajectory, a stronger dynamical component of the external field results in larger phase angle lags at certain points. The experimental results confirm the criterion of ruptures can be effectively determined by the value of (N*Mn 1/2), where Mn is the Mason number defined as the ratio of induced drag to dipolar attraction, and N represents the number of particles contained in a chain.

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References

  1. Biswal S, Gast A (2004a) Micromixing with linked chains of paramagnetic particles. Anal Chem 76:6448–6455

    Article  Google Scholar 

  2. Biswal S, Gast A (2004b) Rotational dynamics of semiflexible paramagnetic particle chains. Phys Rev E 69:041406

    Article  Google Scholar 

  3. Dreyfus R, Baudry J, Roper ML, Fermigier M, Stone HA, Bibette J (2005) Microscopic artificial swimmers. Nature 437:862

    Article  Google Scholar 

  4. Gijs M (2004) Magnetic bead handling on-chip: new opportunities for analytical application. Microfluid Nanofluid 1:22–40

    Google Scholar 

  5. Kang TG, Hulsen M, Anderson P, den Toonder J, Meijer H (2007) Chaotic mixing induced by a magnetic chain in a rotating magnetic field. Phys Rev E 76:066303

    Article  Google Scholar 

  6. Karle M, Wohrle J, Miwa J, Paust N, Roth G, Zengerle R, von Stetten F (2011) Controlled counter-flow motion of magnetic bead chains rolling along microchannels. Microfluid Nanofluid 10:935–939

    Article  Google Scholar 

  7. Lacharme F, Vandevyver C, Gijs MAM (2009) Magnetic beads retention device for sandwich immunoassay comparison of off-chip and on-chip antibody incubation. Microfluid Nanofluid 7:479–487

    Article  Google Scholar 

  8. Li YH, Sheu ST, Pai JM, Chen CY (2012) Manipulations of vibrating micro magnetic particle chains. J Appl Phys 111:07A924

    Google Scholar 

  9. Martin J, Shea-Roher L, Solis K (2009) Strong intrinsic mixing in vortex magnetic fields. Phys Rev E 80:016312

    Article  Google Scholar 

  10. Melle S, Martin J (2003) Chain model of a magnetorheological suspension in a rotating field. J Chem Phys 118(21):9875

    Article  Google Scholar 

  11. Melle S, Fuller G, Rubio M (2000) Structure and dynamics of magnetorheological fluids in rotating magnetic fields. Phys Rev E 61(4):4111–4117

    Article  Google Scholar 

  12. Melle S, Calderon O, Fuller G, Rubio M (2002a) Polarizable particle aggregation under rotating magnetic fields using scattering dichroism. J Colloid Interface Sci 247:200

    Article  Google Scholar 

  13. Melle S, Calderon O, Rubio M, Fuller G (2002b) Rotational dynamics in dipolar colloidal suspensions: video microscopy experiments and simulations results. J Non Newton Fluid Mech 102(2):135–148

    MATH  Article  Google Scholar 

  14. Melle S, Calderon O, Rubio M, Fuller G (2003) Microstructure evolution in magnetorheological suspensions governed by Mason number. Phys Rev E 68:041503

    Article  Google Scholar 

  15. Petousis I, Homburg E, Derks R, Dietzel A (2007) Transient behaviour of magnetic micro-bead chains rotating in a fluid by external fields. Lab Chip 7:1746

    Article  Google Scholar 

  16. Roy T, Sinha A, Chakraborty S, Ganguly R, Puri I (2009) Magnetic microsphere-based mixers for microsroplets. Phys Fluids 21:027101

    Article  Google Scholar 

  17. Terray A, Oakey J, Marr D (2002) Microfluidic control using colloidal devices. Science 296:1841–1844

    Article  Google Scholar 

  18. Vojtisek M, Tarn M, Hirota N, Pamme N (2012) Microfluidic devices in superconducting magnets-on-chip free-flow diamagnetophoresis of polymer particles and bubbles. Microfluid Nanofluid. doi:10.1007/s10404-012-0979-6

  19. Vuppu A, Garcia A, Hayes M (2003) Video Microscopy of dynamically aggregated paramagnetic particle chains in an applied rotating magnetic field. Langmuir 19:8646

    Article  Google Scholar 

  20. Weddemann A, Wittbracht F, Auge A, Hutten A (2011) Particle flow control by induced dipolar interaction of superparamagnetic microbeads. Microfluid Nanofluid 10:459–463

    Article  Google Scholar 

  21. Wittbracht F, Weddemann A, Eickenberg B, Hutten A (2012) On the direct employment of dipolar particle interaction in microfluidic system. Microfluid Nanofluid (submitted)

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Acknowledgments

The financial support from the National Science Council of Republic of China (Taiwan) through Grant NSC 99-2221-E-009-057-MY3 is acknowledged.

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Correspondence to Ching-Yao Chen.

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Li, YH., Chen, CY., Sheu, ST. et al. Dynamics of a microchain of superparamagnetic beads in an oscillating field. Microfluid Nanofluid 13, 579–588 (2012). https://doi.org/10.1007/s10404-012-0974-y

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Keywords

  • Oscillating field
  • Micro-superparamagnetic chain
  • Magnetic particle
  • Mason number