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Fluids 2018, 3(3), 55; https://doi.org/10.3390/fluids3030055

Flow of a Dense Suspension Modeled as a Modified Second Grade Fluid

1
Department of Aerospace Science and Technology, School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
2
Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115, USA
3
Department of Biomedical Engineering, Cornell University, Ithaca, NY 14853, USA
4
U.S. Department of Energy, National Energy Technology Laboratory (NETL), Pittsburgh, PA 15236, USA
*
Author to whom correspondence should be addressed.
Received: 25 January 2018 / Revised: 27 July 2018 / Accepted: 31 July 2018 / Published: 6 August 2018
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Abstract

In this paper, a simple shear flow of a dense suspension is studied. We propose a new constitutive relationship based on the second grade fluid model for the suspension, capable of exhibiting non-linear effects, where the normal stress coefficients are assumed to depend on the volume fraction of the particles and the shear viscosity depends on the shear rate and the volume fraction. After non-dimensionalizing the equations, we perform a parametric study looking at the effects of the normal stress coefficients and the variable viscosity. The numerical results show that for a certain range of parameters, the particles tend to form a region of high and uniform volume fraction, near the lower half of the flow. View Full-Text
Keywords: dense suspension; normal stress effects; second grade fluids; non-Newtonian fluids dense suspension; normal stress effects; second grade fluids; non-Newtonian fluids
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Wu, W.-T.; Aubry, N.; Antaki, J.F.; Massoudi, M. Flow of a Dense Suspension Modeled as a Modified Second Grade Fluid. Fluids 2018, 3, 55.

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