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We present experimental and theoretical results on the shear thinning of electrorheological fluids. Rheological measurements on a model fluid consisting of monodisperse silica spheres immersed in a dielectric liquid show a power-law dependence {μ}{∝}{γ}̇ \.^-Δ of the apparent viscosity {μ} on the strain rate {γ} ̇ \.{}{}, with {Δ} in the range {Δ}=0.68--0.93. We present a theoretical treatment of steady-state cluster formation in applied electric and shear fields, which correctly predicts the observed power-law shear thinning albeit with an exponent {Δ}=2/3. We observe no true yield stress in this material.
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Halsey et al. (1992) studied this question.
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