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@ARTICLE{,
    author = {Prů{\v s}a, V{\'{\i}}t and Rajagopal, K. R.},
  keywords = {constitutive modelling, electrorheological fluids, numerical simulation},
     title = {Flow of an electrorheological fluid between eccentric rotating cylinders},
   journal = {Theoretical and Computational Fluid Dynamics},
    volume = {26},
    number = {1-4},
      year = {2012},
     pages = {1-21},
      note = {NCMM preprint no. 2010-025},
       doi = {10.1007/s00162-011-0224-z},
  abstract = {Electrorheological fluids have numerous potential applications in vibration dampers, brakes, valves, clutches, exercise
equipment, etc. The flows in such applications are complex three dimensional flows. Most models that have been developed
to describe the flows of electrorheological fluids are one dimensional models. Here, we discuss the behaviour of two fully three
dimensional models for electrorheological fluids. The models are such that they reduce, in the case of simple shear flows with the
intensity of the electric field perpendicular to the streamlines, to the same constitutive relation, but they would not be identical in
more complicated three dimensional settings. In order to show the difference between the two models we study the flow of these
fluids between eccentrically placed rotating cylinders kept at different potentials, in the setting that corresponds to technologically
relevant problem of flow of electrorheological fluid in journal bearing. Even though the two models have quite a different constitutive
structure, due to the assumed forms for the velocity and pressure fields, the models lead to the same velocity field but to different
pressure fields. This finding illustrates the need for considering the flows of fluids described by three dimensional constitutive
models in complex geometries, and not restricting ourselves to flows of fluids described by one dimensional models or simple shear
flows of fluids characterized by three dimensional models.}
}