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Fluids 2016, 1(4), 40; doi:10.3390/fluids1040040

Fundamental Rheology of Disperse Systems Based on Single-Particle Mechanics

Department of Chemical Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada
Academic Editors: Mehrdad Massoudi and Ashuwin Vaidya
Received: 3 October 2016 / Revised: 16 November 2016 / Accepted: 22 November 2016 / Published: 7 December 2016
(This article belongs to the Special Issue Mechanics of Fluid-Particles Systems and Fluid-Solid Interactions)


A comprehensive review of the fundamental rheology of dilute disperse systems is presented. The exact rheological constitutive equations based on rigorous single-particle mechanics are discussed for a variety of disperse systems. The different types of inclusions (disperse phase) considered are: rigid-solid spherical particles with and without electric charge, rigid-porous spherical particles, non-rigid (soft) solid particles, liquid droplets with and without surfactant, bubbles with and without surfactant, capsules, core-shell particles, non-spherical solid particles, and ferromagnetic spherical and non-spherical particles. In general, the state of the art is good in terms of the theoretical development. However, more experimental work is needed to verify the theoretical models and to determine their range of validity. This is especially true for dispersions of porous particles, capsules, core-shell particles, and magnetic particles. The main limitation of the existing theoretical developments on the rheology of disperse systems is that the matrix fluid is generally assumed to be Newtonian in nature. Rigorous theoretical models for the rheology of disperse systems consisting of non-Newtonian fluid as the matrix phase are generally lacking, especially at arbitrary flow strengths. View Full-Text
Keywords: rheology; viscosity; non-Newtonian; disperse system; dispersion; particulate fluid; emulsion; suspension; ferrofluid; nanofluid rheology; viscosity; non-Newtonian; disperse system; dispersion; particulate fluid; emulsion; suspension; ferrofluid; nanofluid

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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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Pal, R. Fundamental Rheology of Disperse Systems Based on Single-Particle Mechanics. Fluids 2016, 1, 40.

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