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Technical Briefs

Bridging the Gap Between Continuum Mechanical Microrotation Viscosity and Lagrangian Point-Particles

[+] Author and Article Information
Lihao Zhao

e-mail: lihao.zhao@ntnu.no
Department of Energy and
Process Engineering,
The Norwegian University of Science and Technology,
Trondheim, NO-7491 Norway

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 12, 2013; final manuscript received August 2, 2013; published online September 19, 2013. Assoc. Editor: Prashanta Dutta.

J. Fluids Eng 135(12), 124502 (Sep 19, 2013) (4 pages) Paper No: FE-13-1082; doi: 10.1115/1.4025201 History: Received February 12, 2013; Revised August 02, 2013

The microrotation viscosity is an essential fluid property in micropolar fluid dynamics. By considering a dilute suspension of inertial spherical point-particles in an otherwise Newtonian fluid, an explicit analytical expression for the microrotation viscosity is derived. This non-Newtonian continuum mechanical fluid property is seen to be proportional with the viscosity of the carrier fluid and the local particle loading. A number of assumptions were made in order to arrive at this simple relation, which implies that the microrotation viscosity should be considered as a flow variable rather than as a constant fluid property.

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Figures

Grahic Jump Location
Fig. 1

Microrotation viscosity μr in particle-laden turbulent channel flow at Re = 180. Variation of the viscosity ratio μr/μ for some different Stokes numbers St from the channel wall at z+ = 0 to the channel center at z+ = 180. Here, z+ is the wall-normal coordinate z normalized with the viscous length scale μ/(ρ uτ).

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