Bossis, Georges and Brady, John F. (1984) Dynamic simulation of sheared suspensions. I. General method. Journal of Chemical Physics, 80 (10). pp. 5141-5154. ISSN 0021-9606. http://resolver.caltech.edu/CaltechAUTHORS:BOSjcp84
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A general method is presented for simulating the dynamical behavior of a suspension of particles which interact through both hydrodynamic and nonhydrodynamic forces. In the molecular-dynamics-like simulation there are two different procedures for computing the interactions among particles: a pairwise additivity of forces and a pairwise additivity of velocities. The pairwise additivity of forces is the preferred method as it preserves the hydrodynamic lubrication forces which prevent particles from overlapping. The two methods are compared in a simulation of a monolayer of identical rigid non-Brownian spherical particles in a simple shear flow. Periodic boundary conditions are used to model an infinite suspension. Both methods predict the presence of a shear induced anisotropic local structure whose form and strength depend on the concentration of particles, the nonhydrodynamic forces, and the shear rate. Increasing the particle concentration up to near the maximum fraction that can still flow results in a transition to a layered structure in which planes of particles slide relative to one another. The anisotropic local structure and transition to a layered structure predict a non-Newtonian suspension rheology.
|Additional Information:||Copyright © 1984 American Institute of Physics. Received 31 October 1983; accepted 12 December 1983. We would like to express our appreciation to E. Guyon who helped initiate this work by bringing us together and who has since followed our effort with considerable interest. This research was supported in part by a grant from the Centre National de la Recherche Scientifique under the A.T.P. program in macroscopic random materials and by a grant from Monsanto Company. This work was initiated when J.F.B. was in France under the auspices of the NSF/CNRS Exchange of Scientists Program, and this support is gratefully acknowledged. This paper is dedicated to our friend and colleague Bernard Quentrec who began this project with us, but met an untimely death before seeing it completion.|
|Subject Keywords:||SUSPENSIONS, INTERACTIONS, HYDRODYNAMICS, DISTRIBUTION FUNCTIONS|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||21 Jun 2008|
|Last Modified:||26 Dec 2012 10:07|
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