A suspension of conducting particles in a magnetic field – the particle stress

Kumaran, V.

doi:10.1017/jfm.2020.505

Cited by 5 publications

(3 citation statements)

References 35 publications

(74 reference statements)

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“…In this case, the particles are of nanometer size, Brownian diffusion is significant, and the effect of interactions on the fluctuating motion of the particles may be less important. Suspensions of conducting particles in shear flow also experience a torque in a magnetic field (Moffat (1990); Kumaran (2019Kumaran ( , 2020b). This is because an eddy current is induced when a particle rotates in a magnetic field, and this induces a magnetic dipole which interacts with the field.…”

Section: Introductionmentioning

confidence: 99%

The effect of inter-particle hydrodynamic and magnetic interactions in a magnetorheological fluid

Kumaran

2022

Preprint

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A magnetorheological fluid, which consists of magnetic particles suspended in a viscous fluid, flows freely with well-dispersed particles in a the absence of a magnetic field, but particle aggregation results in flow cessation when a field is applied. The mechanism of dynamical arrest is examined by analysing interactions between magnetic particles in a magnetic field subject to a shear flow. An isolated spherical magnetic particle undergoes a transition between a rotating state at low magnetic field and a static orientation at high magnetic field. The effect of interactions for spherical dipolar and polarisable particles with static orientation is examined for a dilute viscous suspension. There are magnetic interactions due to the magnetic field disturbance at one particle caused by the dipole moment of another, hydrodynamic interactions due to the antisymmetric force moment of a non-rotating particle in a shear flow, and a modification of the magnetic field due to the particle magnetic moment density. When there is a concentration variation, the torque balance condition results in a disturbance to the orientation of the particle magnetic moment. The net force and the drift velocity due to these disturbances is calculated, and the collective motion generated is equivalent to an anisotropic diffusion process. When the magnetic field is in the flow plane, the diffusion coefficients in the two directions perpendicular to the field direction are negative, implying that concentration fluctuations are unstable in these directions. This instability could initiate field-induced dynamical arrest in a magnetorheological fluid.

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Section: Introductionmentioning

confidence: 99%

The effect of inter-particle hydrodynamic and magnetic interactions in a magnetorheological fluid

Kumaran

2022

Preprint

Self Cite

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show abstract

“…In this case, the particles are of nanometre size, Brownian diffusion is significant, and the effect of interactions on the fluctuating motion of the particles may be less important. Suspensions of conducting particles in shear flow also experience a torque in a magnetic field (Moffat 1990;Kumaran 2019Kumaran , 2020b. This is because an eddy current is induced when a particle rotates in a magnetic field, and this induces a magnetic dipole that interacts with the field.…”

Section: Introductionmentioning

confidence: 99%

The effect of inter-particle hydrodynamic and magnetic interactions in a magnetorheological fluid

Kumaran

2022

J. Fluid Mech.

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A magnetorheological fluid, which consists of magnetic particles suspended in a viscous fluid, flows freely with well-dispersed particles in the absence of a magnetic field, but particle aggregation results in flow cessation when a field is applied. The mechanism of dynamical arrest is examined by analysing interactions between magnetic particles in a magnetic field subject to a shear flow. An isolated spherical magnetic particle undergoes a transition between a rotating state at low magnetic field and a static orientation at high magnetic field. The effect of interactions for spherical dipolar and polarisable particles with static orientation is examined for an unbounded dilute viscous suspension. There are magnetic interactions due to the magnetic field disturbance at one particle caused by the dipole moment of another, hydrodynamic interactions due to the antisymmetric force moment of a non-rotating particle in a shear flow, and a modification of the magnetic field due to the particle magnetic moment density. When there is a concentration variation, the torque balance condition results in a disturbance to the orientation of the particle magnetic moment. The net force and the drift velocity due to these disturbances is calculated, and the collective motion generated is equivalent to an anisotropic diffusion process. When the magnetic field is in the flow plane, the diffusion coefficients in the two directions perpendicular to the field direction are negative, implying that concentration fluctuations are unstable in these directions. This instability could initiate field-induced dynamical arrest in a magnetorheological fluid.

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“…Fundamentally, such flows are also very attractive because of the physics associated with (i) the interplay of friction and surface tension dominated flows under weak inertial and gravitational influences (Marath & Subramanian 2018; Pierson & Magnaudet 2018; Wong, Lindstrom & Bertozzi 2019; Lippert & Woods 2020), (ii) the non-Newtonian nature of the flows embedded with particles (Mirzaeian & Alba 2018; Jiang & Chen 2019; Zade et al. 2020), (iii) liquid–particle or particle–particle interactions (Kasbaoui, Koch & Desjardins 2019; Dsouza & Nott 2020; Kumaran 2020; Zhang & Rival 2020) and (iv) diverse hydrodynamic, non-hydrodynamic and stochastic forces (Swan & Brady 2007, 2011).…”

Section: Introductionmentioning

confidence: 99%

Genesis of electric field assisted microparticle assemblage in a dielectric fluid

et al. 2021

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A suspension of conducting particles in a magnetic field – the particle stress

Abstract: Abstract

Cited by 5 publications

References 35 publications

The effect of inter-particle hydrodynamic and magnetic interactions in a magnetorheological fluid

The effect of inter-particle hydrodynamic and magnetic interactions in a magnetorheological fluid

The effect of inter-particle hydrodynamic and magnetic interactions in a magnetorheological fluid

Genesis of electric field assisted microparticle assemblage in a dielectric fluid

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