Email this article 
On the Theory of Magneto-Induced Circulations in Trombosed Channels
- Authors: Musikhin A.Y.1, Zubarev A.Y.1
-
Affiliations:
- Ural Federal University named after the first President of Russia B.N. Yeltsin
- Issue: No 3 (2023)
- Pages: 12-21
- Section: Articles
- URL: https://cardiosomatics.ru/1024-7084/article/view/672350
- DOI: https://doi.org/10.31857/S1024708423600033
- EDN: https://elibrary.ru/TMZEZZ
- ID: 672350
Cite item
Open Access
Access granted
Subscription or Fee Access
Abstract
The mathematical model and the method of its approximate analysis dealing with flows induced by a traveling magnetic field in a channel occupied by non-magnetic fluid with an embedded ferrofluid drop are proposed. One of the ends of the channel is assumed to be closed (thrombotic). The aim of the study is to develop the scientific basis for magnetically induced intensification of drug transport through thrombosed blood vessels.
About the authors
A. Yu. Musikhin
Ural Federal University named after the first President of Russia B.N. Yeltsin
Email: Antoniusmagna@yandex.ru
Yekaterinburg, Russia
A. Yu. Zubarev
Ural Federal University named after the first President of Russia B.N. Yeltsin
Author for correspondence.
Email: Antoniusmagna@yandex.ru
Yekaterinburg, Russia
References
- Creighton Francis M. Magnetic-based systems for treating occluded vessels: U.S. Patent № 8.308.628. 2012.
- Clements M.J. A mathematical model for magnetically-assisted delivery of thrombolytics in occluded blood vessels for ischemic stroke treatment: Doctoral dissertation, Texas University, 2016.
- Gabayno J.L.F., Liu D.W., Chang M., & Lin Y.H. // Nanoscale. 2015. V. 7. № 9. P. 3947–3953.https://doi.org/10.1039/x0xx00000x
- Li Q., Liu X., Chang M., & Lu Z. // Materials. 2018.V. 11. № 11. P. 2313–2325.
- Musikhin A., Zubarev A., Raboisson-Michel M., Verger-Dubois G., Kuzhir P. // Phil. Trans. R. Soc. A. 2020. V. 378. P. 20190250.
- Chirikov D., Zubarev A., Kuzhir P., Raboisson-Michel M., Verger-Dubois G. // Eur. Phys. J. Spec. Top. 2022 V. 231. P. 1187–1194.
- Rosensweig R. Ferrohydrodynamics. New York.: Cambridge,1985.
- Покровский В. Статистическая механика разбавленных суспензий. М.: Наука, 1978.
- Odenbach S. Magnetoviscous Effect in Ferrofluids, Springer, 2002.
- Onsager L. // Ann. N.Y. Acad. Sci. 1949. V. 5. P. 627.
- de Gennes P.G. The Physics of Liquid Crystals. Oxford.: Clarendon Press, 1974.
Supplementary files
