The theory of micropolar fluids based on a Cosserat continuum model is utilized for analysis of two benchmarks, namely, plane-Couette and pressure-driven channel flows. In the obtained theoretical velocity distributions, some new terms have appeared in addition to linear and parabolic distributions of classical fluid mechanics based on the Navier-Stokes equations. Utilizing the principles of irreversible thermodynamics, a new dissipative boundary condition is developed for angular velocity at flat plates by taking the couple-stress vector into account. The obtained results for the velocity profiles have been compared to results of recent and classical experiments. This paper demonstrates that continuum mechanical theories of higher orders, for instance Cosserat model, are able to describe a complex phenomenon, such as hydrodynamic turbulence, more precisely.
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e-mail: aminmoosaie@mail.iust.ac.ir
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June 2007
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Cosserat Modeling of Turbulent Plane-Couette and Pressure-Driven Channel Flows
Amin Moosaie,
Amin Moosaie
Department of Mechanical Engineering,
e-mail: aminmoosaie@mail.iust.ac.ir
Iran University of Science and Technology
, Narmak, Tehran 16844, Iran
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Gholamali Atefi
Gholamali Atefi
Department of Mechanical Engineering,
Iran University of Science and Technology
, Narmak, Tehran 16844, Iran
Search for other works by this author on:
Amin Moosaie
Department of Mechanical Engineering,
Iran University of Science and Technology
, Narmak, Tehran 16844, Irane-mail: aminmoosaie@mail.iust.ac.ir
Gholamali Atefi
Department of Mechanical Engineering,
Iran University of Science and Technology
, Narmak, Tehran 16844, IranJ. Fluids Eng. Jun 2007, 129(6): 806-810 (5 pages)
Published Online: January 26, 2007
Article history
Received:
December 26, 2004
Revised:
January 26, 2007
Citation
Moosaie, A., and Atefi, G. (January 26, 2007). "Cosserat Modeling of Turbulent Plane-Couette and Pressure-Driven Channel Flows." ASME. J. Fluids Eng. June 2007; 129(6): 806–810. https://doi.org/10.1115/1.2734251
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