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Quasi-stationary flow in a channel with a ferrofluid drop, induced by a rotational magnetic field

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Abstract

The paper deals with theoretical study of circulating flow in a channel, filled with non-magnetic liquid and injected drop of a soluble ferrofluid under the action of a uniform rotating magnetic field. The aim of this work is development of a scientific background of intensification of drag transport in thrombosed blood vessels. Our results show that at quite realistic parameters of the system in the channel with the thickness of several millimeters, circulating flow with the rate about hundred millimeter per second can be generated. It can provide significant intensification of molecular admissions (thrombolytics) transport in the channel.

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References

  1. L. Thrums, Biomedical applications of magnetic nanoparticles in colloidal magnetic fluids, in Basics, development and application of ferrofluids. ed. by S. Odenbach (Springer, 2009)

    Google Scholar 

  2. M. Creighton Francis, Magnetic-based systems for treating occluded vessels: U.S. Patent No. 8.308.628. (2012)

  3. M. J. Clements, A mathematical model for magnetically-assisted delivery of thrombolytics in occluded blood vessels for ischemic stroke treatment: Doctoral dissertation, Texas University, (2016)

  4. J.L.F. Gabayno, D.W. Liu, M. Chang, Y.H. Lin, Controlled manipulation of Fe3 O4 nanoparticles in an oscillating magnetic field for fast ablation of microchannel occlusion. Nanoscale. 7(9), 3947–3953 (2015)

    Article  ADS  Google Scholar 

  5. Q. Li, X. Liu, M. Chang, Z. Lu, Thrombolysis enhancing by magnetic manipulation of Fe3O4 nanoparticles. Materials. 11(11), 2313–2325 (2018)

    Article  ADS  Google Scholar 

  6. A. Musikhin, A. Zubarev, M. Raboisson-Michel, G. Verger-Dubois, P. Kuzhir, Field-induced circulation flow in magnetic fluids. Phil. Trans. R. Soc. A. 378, 20190250 (2020)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. V.M. Zaitsev, M.I. Shliomis, Entrainment of ferromagnetic suspension by a rotating field. J. Appl. Mech. Tech. Phys. 10, 696 (1969)

    Article  ADS  Google Scholar 

  8. M.I. Shliomis, How a rotating magnetic field causes ferrofluid to rotate. Phys. Rev. Fluids 6, 043701 (2021)

    Article  ADS  Google Scholar 

  9. R. Rosensweig, Ferrohydrodynamics (Cambridge, New York, 1985)

    Google Scholar 

  10. V.N. Pokrovsij, Statistical hydromechanics of dilute suspensions (Nauka, Moscow, 1978)

    Google Scholar 

  11. L.D. Landau, E.M. Lifshits, Electrodynamics of continuous media (Pergamon Press, New York, 1984)

    Google Scholar 

  12. M.A. Martsenjuk, L.Y. Raikher, M.I. Shliomis. To kinetics of magnetization of suspensions of single-domain particles, J. Exp. Theor. Phys. 38, 413

  13. E. Blums, A. Cebers, M. Maiorov, Magnetic fluids (Walter de Gruyter, New York, 1997)

    Google Scholar 

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Acknowledgements

Authors are grateful to the Russia Science Foundation, project 20-12-00031.

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AZ was involved in the main idea and physical model. AM helped in mathematical transformations and calculations.

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Correspondence to A. Yu. Zubarev.

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Zubarev, A.Y., Musikhin, A.Y. Quasi-stationary flow in a channel with a ferrofluid drop, induced by a rotational magnetic field. Eur. Phys. J. Spec. Top. 232, 1333–1338 (2023). https://doi.org/10.1140/epjs/s11734-022-00758-5

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  • DOI: https://doi.org/10.1140/epjs/s11734-022-00758-5

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