Abstract
We proposed a theoretical model and a method for its approximate analysis for flows induced by a uniform rotating magnetic field in a channel filled with a nonmagnetic fluid with a ferrofluid layer injected into it. One end of the channel is assumed to be blocked (thrombosed). This study is aimed at the development of the scientific basis of the magnetically induced intensification of drug transport in blocked blood vessels.
REFERENCES
L. Trahms, in Colloidal Magnetic Fluids. Basics, Development and Application of Ferrofluids (Springer, Berlin, 2009).
F. M. Creighton, U. S. Patent No. 8.308.628 (2012).
M. J. Clements, PhD Thesis (Texas Univ., 2016).
A. Musickhin, A. Y. Zubarev, M. Raboisson-Michel, G. Verger-Dubois, and P. Kuzhir, Phil. Trans. R. Soc. A 378, 20190250 (2020).
A. Yu. Zubarev and A. Yu. Musikhin, J. Exp. Theor. Phys. 136, 534 (2023).
R. Rosensweig, Ferrohydrodynamics (Cambridge, New York, 1985).
V. Pokrovskii, Statistical Mechanics of Dilute Suspensions (Nauka, Moscow, 1978) [in Russian].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon, New York, 1984).
M. Raboisson-Michel, PhD Thesis (Univ. Cote d’Azur, 2022).
E. Blums, A. Cebers, and M. Maiorov, Magnetic Fluids (Walter de Gruyter, Berlin, 1997).
M. A. Martsenyuk, Yu. L. Raikher, and M. I. Shliomis, Sov. Phys. JETP 38, 413 (1973).
S. Odenbach and S. Thurm, Magnetoviscous Effect in Ferrofluids, Ferrofluids. Magnetically Controllable Fluids and their Aplications (Springer, Berlin, 2002).
L. Onsager, Ann. N. Y. Acad. Sci. 5, 4 (1949).
P. G. de Gennes, The Physics of Liquid Crystals (Clarendon, Oxford, 1974).
Funding
This study was supported by the Russian Foundation for Basic Research (project no. 21-52-12013) and State assignment (project FEUZ 2023-0020).
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Translated by N. Wadhwa
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Musickhin, A.Y., Zubarev, A.Y. Magnetically Induced Flows in Thrombosed Channels with a Ferrofluid Layer. J. Exp. Theor. Phys. 137, 986–993 (2023). https://doi.org/10.1134/S1063776123120117
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DOI: https://doi.org/10.1134/S1063776123120117