Constitutive equation for electrorheological fluids based on the chain model

摘要: Electrorheological fluids show a dramatic increase in flow resistance under an electric field. For the case of simple shear flow, microstructural model that has been extensively used to date is chain model, whereby increased viscosity attributed chain-like aggregates particles which form due interactions between induced dipoles particles. In this paper, extended general field described by velocity gradient tensor καβ, produce constitutive framework. The orientation and length chains are determined from balance torque, acts align each with field, hydrodynamic tends rotate imposed This formulation calculate stress for fields different geometries, results qualitative agreement experiments.