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A note on Couette
flow of micropolar fluids according to Eringen's theory
Wilhelm Rickert, Elena N. Vilchevskaya and Wolfgang H. Müller
Vol. 7 (2019), No. 1, 25–50
DOI: 10.2140/memocs.2019.7.25
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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. |
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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Authors |
| Wilhelm Rickert | |
| Institut für Mechanik Fachgebiet Kontinuumsmechanik und Materialtheorie Technische Universität Berlin Berlin Germany |
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| Elena N. Vilchevskaya | |
| Applied Research Laboratory Institute for Problems in Mechanical Engineering Russian Academy of Sciences Saint Petersburg Russia |
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| Wolfgang H. Müller | |
| Institut für Mechanik Fachgebiet Kontinuumsmechanik und Materialtheorie Technische Universität Berlin Berlin Germany |
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