Shear Viscosity of Inhomogeneous Hard-Sphere Fluids

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Abstract:

Using molecular dynamics on Hard-Sphere-like fluids subject to an external sinusoidal field inducing density inhomogeneities and undergoing a bi-periodical shear flow, we have studied the local viscosity of the inhomogeneous fluid. It has been shown that for a slowly varying density profile the local average density model combined with the well-known models proposed in the density function theory yields a good description of the viscosity profile obtained by molecular simulation. However, for a rapidly varying density profile these models are unable to describe correctly the viscosity profile obtained by molecular simulations. So, to overcome the weakness of these models we have proposed a simple model that takes into account the effect of the angle formed by the colliding molecules and the direction of the flow.

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27-31

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June 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] J. Hansen and I. R. McDonald: Theory of simple liquid, Third Edition, Elsevier

Google Scholar

[2] X. D. Din and E. E. Michaelides, Phys. Fluids 9, 3915 (1997)

Google Scholar

[3] L. A. Pozhar, Phys. Rev. E 61, 1432 (2000)

Google Scholar

[4] H. Hoang, G. Galliero, J. Chem. Phys. 136, 124902 (2012)

Google Scholar

[5] H. Hoang, G. Galliero, Phys. Rev. E 86, 021202 (2012)

Google Scholar

[6] I. Bitsanis, T.K Vanderlick, M. Tirell and H.T. Davis, J. Chem. Phys. 87, 1733 (1987)

Google Scholar

[7] D. M. Heyes and A. C. Branka, J. Chem. Phys. 122, 234504 (2005)

Google Scholar

[8] F. Muller-Plathe, Phys. Rev. E 59, 4894 (1999)

Google Scholar

[9] B. D. Todd and J. S. Hansen, Phys. Rev. E 78, 051202

Google Scholar

[10] T. K. Vanderlick, L. E. Scriven and H. T. Davis, J. Chem. Phys. 90(4), 2422 (1988)

Google Scholar