Modeling of concentrated suspensions |
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| Authors: | B. H. A. A. van den Brule R. J. J. Jongschaap |
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| Affiliation: | (1) Philips Research Laboratories, P.O. Box 80000, 5600JA Eindhoven, The Netherlands;(2) Department of Applied Physics, Twente University, P.O. Box 217, 7500 AE Enschede, The Netherlands |
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| Abstract: | The constitutive equation of a concentrated suspension of spherical particles in a Newtonian medium is derived. To this end the method of local volume averaging is employed. To calculate the contribution of the particles to the stress tensor it is assumed that the stress generated in the interstitial holes between the particles is negligible compared to the stress generated in !he narrow gaps separating the particles. The use of the resulting expression is demonstrated with two examples on a cubical arrangement of particles: pure shear and simple shear. Furthermore, the validity of the lubrication approximation employed in this work is checked against the results derived by Nunan and Keller for periodic suspensions. |
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| Keywords: | Concentrated suspension volume averaging viscosity stress tensor lubrication approximation |
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