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Mathematical modeling of magnetorheological fluids

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Abstract.

Magnetorheological (MR) fluids are a class of smart materials whose rheological properties may be rapidly modified by the application of a magnetic field. These materials typically consist of micron-sized ferrous particles dispersed in a fluid. In the present paper, we consider the full system of equations as well as the Clausius-Duhem inequality for moving isotropic MR fluids in an electro-magnetic field. We present the material constitutive relations for a non-Newtonian incompressible MR fluid. To illustrate the validity of the constitutive relations, the flow of a MR fluid between two parallel fixed plates under the influence of a constant magnetic field perpendicular to the flow direction is considered.

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Authors and Affiliations

  1. Department of Computer Science, North-Western State Technical University, Millionnaya 5, 191186, St. Petersburg, Russia

    I. A. Brigadnov

  2. Institute of Structural Engineering, Peter Jordan Str. 82, 1190, Vienna, Austria

    A. Dorfmann

Authors
  1. I. A. Brigadnov
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  2. A. Dorfmann
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Correspondence to A. Dorfmann.

Additional information

Communicated by K.R. Rajagopal

Received: 14 July 2003, Accepted: 18 May 2004, Published online: 22 February 2005

Correspondence to: A. Dorfmann

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Brigadnov, I.A., Dorfmann, A. Mathematical modeling of magnetorheological fluids. Continuum Mech. Thermodyn. 17, 29–42 (2005). https://doi.org/10.1007/s00161-004-0185-1

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