Semiclassical approach to electrorheological fluids. Influence of solid volume fraction on the suspension yield stress
A semiclassical approach, previously proposed in matter and momentum transport phenomena, has been employed to deal with the electrorheological effect. The vibrational Helmholtz free energy of a solidlike medium, consisting of phononic and dielectric contributions, has been developed in terms of Debye, optical and characteristic system frequencies and constrained to a stationary condition with respect to mass-density variations. It turns out that application of an electric field results in the creation of bound energy states, which can be related to the solid fraction and the yield stress through a phenomenological equation. Application to rheological data, from polyaniline particles and chlorinated paraffin in silicon oil, silica spheres in corn oil and numerical simulations, is presented.
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