2004
DOI: 10.1103/physreve.69.021507
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Critical role of flow-modified permittivity in electrorheology: Model and computer simulation

Abstract: We propose a model that takes into account the effect of flow-modified permittivity (FMP) on electrorheology (ER). Our computer simulation shows that for Mason numbers less than 0.1, ER effects are mainly attributable to the deformation of chain structures, in agreement with earlier theoretical and simulation work. At larger Mason numbers, where chain structures have been destroyed by shear flows, we show that an FMP-induced misalignment between the particle dipole moments and the applied electric field plays … Show more

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Cited by 7 publications
(13 citation statements)
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“…In a shear flow of shear rate _ g, a spherical sphere spins at an angular velocity of v = _ g=2(v = vŷ) (Dassanayake et al, 2004). Because the rotational motion that leads to a displacement of its polarized charges on the surface and the relaxation of the surface charges, the rate of change in the dipole moment of the rotating dielectric sphere in an electric field is given by (Wan et al, 2000) dp…”
Section: Modelmentioning
confidence: 99%
“…In a shear flow of shear rate _ g, a spherical sphere spins at an angular velocity of v = _ g=2(v = vŷ) (Dassanayake et al, 2004). Because the rotational motion that leads to a displacement of its polarized charges on the surface and the relaxation of the surface charges, the rate of change in the dipole moment of the rotating dielectric sphere in an electric field is given by (Wan et al, 2000) dp…”
Section: Modelmentioning
confidence: 99%
“…(6) or Eq. (17)] provide guidelines for numerical simulation on the dynamic effect in ER fluids [5] and should be distinguished from those effective medium theories developed for composites of anisotropic inclusions, [21] bi-anisotropic media, [22] and chiral media, [23,24] etc. Extension to nonlinear ac responses [25,26] is possible.…”
Section: Discussionmentioning
confidence: 99%
“…At the same time, the magnitude of the steady-state polarization is reduced by a factor as compared to the resting case. [5,9] which is determined by the same competition. As the interparticle force depends crucially on the magnitude and direction of polarizations, the complications due to the rotational motion were shown to be dramatic.…”
Section: Introductionmentioning
confidence: 99%
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“…When the electric field E 0 is applied along the z direction, each particle gets an induced dipole moment p = (1/2)πβε 0 ε f σ 3 E loc in the fluid with relative dielectric constant ε f (in the Système International unit system) where β = (ε p − ε f )/(ε p + 2ε f ) and E loc is the local field, with E loc = E 0ẑ if β 1. In a shear flow of shear rateγ , a spherical sphere spins at an angular velocity of ω =γ 2(ω = ωŷ) [24]. For the rotating dielectric sphere in an electric field, because of the rotational motion that leads to a displacement of its polarized charges on the surface and the relaxation of the surface charges, the rate of change in the dipole moment is given by [25] …”
Section: Model and Simulationmentioning
confidence: 99%