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Abstract
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In order to model the flow of liquids with internal rotational degrees of freedom the
theory of micropolar fluids according to Eringen is applied. The essentials of the
theory are outlined and then specialized to Couette flow. The profiles for linear and
angular velocities will be computed, and in particular, we shall also study the rise in
temperature due to viscous dissipation, which is frequently ignored by mechanicians.
Closed-form solutions for all three fields are derived for different boundary
conditions. The question as to how the boundary conditions are realized physically
will be discussed.
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Keywords
polar materials, theory of constitutive functions,
closed-form solutions
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Mathematical Subject Classification 2010
Primary: 74A35, 74A20
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Milestones
Received: 8 June 2018
Revised: 16 August 2018
Accepted: 20 September 2018
Published: 22 April 2019
Communicated by Francesco dell'Isola
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