On the problem of magneto-induced circulations in thrombosed channels

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A theoretical model and a method for its approximation analysis were developed to study circulation flows arising in a channel with a non-uniform alternating rotating magnetic field. This channel contains a non-magnetic fluid into which a cloud of ferrofluid is injected, the particles of which are distributed according to the Gaussian law along the channel. It is assumed that the right end of the channel is blocked to simulate a thrombosed vessel. The main goal of the study is to develop a scientific basis for increasing the efficiency of transport of thrombolytic drugs in thrombosed blood vessels using magnetic stimulation.

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作者简介

A. Musikhin

Ural Federal University

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Email: antoniusmagna@yandex.ru
俄罗斯联邦, Yekaterinburg

A. Zubarev

Ural Federal University

Email: antoniusmagna@yandex.ru
俄罗斯联邦, Yekaterinburg

参考

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2. Fig. 1. Illustration of the system under consideration. The distances from the solenoids to the center of the cloud are the same.

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3. Fig. 2. Longitudinal component of velocity νx depending on coordinate x near the thrombus (x = 0) for different frequencies ω at fixed z = l / 3. Curve 1: ω = 10 s−1; curve 2: ω = 20 s−1. Volume concentration of particles in the center of the drop Φ0 = 0.01; dispersion σ = 1 cm; magnet characteristics are the same for all the others: diameter D = 1 cm; current I = 8 A; height h = 1 cm; number of turns N = 104; position of the cloud center x0 = 1 mm, channel width l = 2 mm

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4. Fig. 3. Longitudinal component of velocity νx as a function of coordinate x far from the thrombus (x ~ 12 mm) for different frequencies ω at fixed z = l/3. Parameters are the same as in Fig. 3.

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5. Fig. 4. Longitudinal component of velocity νx as a function of coordinate z for different times t at fixed x = x0/2 and ω = 10 s−1. Curve 1: t = 1 s; curve 2: t = 0.5 s. The remaining parameters are the same as in Fig. 2.

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6. Appendix
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