Journal
CONTINUUM MECHANICS AND THERMODYNAMICS
Volume 17, Issue 1, Pages 29-42Publisher
SPRINGER
DOI: 10.1007/s00161-004-0185-1
Keywords
Maxwell field equations; laws of thermodynamic; constitutive equations; incompressible MR fluid
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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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