Nonlinear theory of macroscopic flow induced in a drop of ferrofluid

Zubarev, A. Yu.; Chirikov, Dmitry; Musikhin, Anton; Raboisson-Michel, Maxime; Verger‐Dubois, Gregory; Kuzhir, Pavel

doi:10.1098/rsta.2020.0323

Cited by 3 publications

(2 citation statements)

References 5 publications

(5 reference statements)

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“…This is connected with a new progressive method of address drug delivery to thrombus clots in blood vessels with the help of the magnetically induced circulation flow. The results, obtained by Zubarev et al [26], show that the oscillating field can induce, inside and near the cloud, specific circulating flows with the velocity amplitude of about several millimetres per second. These flows can significantly increase the rate of transport of the molecular non-magnetic impurity in the channel.…”

Section: The General Content Of the Issuementioning

confidence: 92%

Transport phenomena in complex systems (part 1)

Alexandrov

Zubarev

2021

Phil. Trans. R. Soc. A.

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The issue, in two parts, is devoted to theoretical, computational and experimental studies of transport phenomena in various complex systems (in porous and composite media; systems with physical and chemical reactions and phase and structural transformations; in biological tissues and materials). Various types of these phenomena (heat and mass transfer; hydrodynamic and rheological effects; electromagnetic field propagation) are considered. Anomalous, relaxation and nonlinear transport, as well as transport induced by the impact of external fields and noise, is the focus of this issue. Modern methods of computational modelling, statistical physics and hydrodynamics, nonlinear dynamics and experimental methods are presented and discussed. Special attention is paid to transport phenomena in biological systems (such as haemodynamics in stenosed and thrombosed blood vessels magneto-induced heat generation and propagation in biological tissues, and anomalous transport in living cells) and to the development of a scientific background for progressive methods in cancer, heart attack and insult therapy (magnetic hyperthermia for cancer therapy, magnetically induced circulation flow in thrombosed blood vessels and non-contact determination of the local rate of blood flow in coronary arteries). The present issue includes works on the phenomenological study of transport processes, the derivation of a macroscopic governing equation on the basis of the analysis of a complicated internal reaction and the microscopic determination of macroscopic characteristics of the studied systems. This article is part of the theme issue ‘Transport phenomena in complex systems (part 1)’.

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Section: The General Content Of the Issuementioning

confidence: 92%

Transport phenomena in complex systems (part 1)

Alexandrov

Zubarev

2021

Phil. Trans. R. Soc. A.

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“…However, macroscopic flows have not been observed in homogeneous magnetic fields. A number of recent theoretical studies predict reciprocal oscillatory flows along slit-like or cylindrical channels in running non-homogeneous magnetic fields (Musickhin et al 2020;Zubarev et al 2021;Chirikov et al 2022). However, steady-state recirculation flows important for the target application likely do not arise in those configurations.…”

Section: Introductionmentioning

confidence: 99%

Field-induced macroscopic flow of a dilute self-assembling magnetic colloid under rotating magnetic fields

Queiros Campos,

Raboisson-Michel,

Schaub

et al. 2024

J. Fluid Mech.

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Flow generation by colloidal motors activated by external stimuli is an important issue for active matter physics and several nanotechnological or biomedical applications. For instance, flow recirculation generated by rotating magnetic self-assemblies allows effective ‘pumping’ of a thrombolytic drug towards a blood clot along a blocked vessel. However, the physics of the flow generation in this case remains still poorly explored. This study is focused on the generation of a recirculation flow of a magnetic colloid (aqueous suspension of iron oxide nanoparticles with partially screened electrostatic repulsion) within a closed microfluidic channel via application of an external rotating magnetic field. The colloid undergoes reversible phase separation manifested through the appearance of micron-sized elongated aggregates. They synchronously rotate with the magnetic field and can generate macroscopic flows only in the presence of gradients of the aggregate concentration across the channel induced by superposition of a weak magnetic field gradient to the homogeneous rotating field. We achieve recirculation flows with a characteristic speed ${\sim} 5{-}8\;{\rm \mu}\textrm{m}\;{\textrm{s}^{ - \textrm{1}}}$ at low magnetic field amplitude and frequency ( ${H_0} \approx 3{-}10\;\textrm{kA}\;{\textrm{m}^{ - 1}}$ , ${f = 5{-}15\ \textrm{Hz}}$ ) at low nanoparticle volume fraction ${\varphi _p} = (1.6{-}3.2) \times {10^{ - 3}}$ . The concentration and velocity profiles have been assessed experimentally through particle tracking and particle image velocimetry, and have also been computed using the hydrodynamic diffusion approach coupled with the momentum balance equation with a magnetic torque term. The model correctly reproduces the shape of the experimental concentration and velocity fields and explains complex behaviours of the average recirculation speed as a function of governing parameters ( ${H_0}$ , f, ${\varphi _p}$ , channel size).

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