NEW METHOD FOR EFFECTIVE VISCOSITY OF COLLOIDAL DISPERSIONS WITH PERIODIC MICROSTRUCTURES |
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| Authors: | Gu Guoqing |
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| Institution: | 1. Institute for Energy Technology, P.O. Box 40, NO-2027 Kjeller, Norway;2. Centre for Materials Science and Nanotechnology, University of Oslo, P.O. Box 1126, Blindern, NO-0318 Oslo, Norway;3. SINTEF Materials and Chemistry, P.O. Box 4760, Sluppen, NO-7465 Trondheim, Norway;1. Université Tunis el Manar, Laboratoire de nanomatériaux et des systèmes pour les énergies renouvelables (LANSER), Centre de Recherches et des Technologies de l''Energie, BP.95 Hammam Lif 2050, Tunisia;2. Université de Monastir, Faculté des Sciences de Monastir, Laboratoire de la Matière condensée et des nanosciences, LR 11 ES 40, Monastir, 5019, Tunisia;3. Institut Néel, CNRS et Université Joseph Fourier, B, P, 166, 38042 Grenoble, France |
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| Abstract: | One of the central theoretical problems in the colloid field is to determine the rheological relation between tile macroscopic properties of colloidal suspensions and the microstructures of the systems. In this work, the authors develop a method of transformation field by which one can calculate the effective viscosity of an incompressible viscous fluid containing colloidal particles (either solid particles or liquid drops) fixed at the points of a periodic lattice. The effective viscosity of a colloidal dispersion of spherical particles is calculated. The predictions of the theory are in good agreement with the Einstein's formula for suspensions and the Taylor's formula for emulsions at low particle concentrations. At higher particle concentrations, the theory reproduces the results of Nunan and Keller. The method is also applicable to tile viscosity of colloidal systems with non-spherical particles. |
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| Keywords: | Colloidal dispersion effective viscosity suspension emulsion |
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