Transport Processes in Concentrated Suspensions: The Role of Particle Fluctuations
Transport of momentum in slow flows of concentrated suspensions may be strongly dependent upon the fluctuations of particles about their mean motion. The intensity of the velocity fluctuations is an internal field that is the analog of temperature in classical kinetic theories. This viscous temperature is governed by a balance law that includes flux, production, and dissipation terms. We provide heuristic arguments to motivate the forms of the viscosity, conductivity, dissipation, and pressure in a theory that includes the viscous temperature. The approach parallels previous developments for dry, granular materials. Phenomena observed in flows of concentrated suspensions, including apparent normal stresses and shear-induced diffusion, are contained within the structure of this theory.
Key wordsconcentrated suspension diffusion effective viscosity normal stress rheology
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- F. A. Gadala-Maria, The rheology of concentrated suspensions, Ph.D. thesis, Stanford University, 1979.Google Scholar
- W. R. Schowalter, Mechanics of Non-Newtonian Fluids Pergamon, Oxford, 1978.Google Scholar
- J. T. Jenkins and S. C. Cowin, Theories for flowing granular materials, Mechanics Applied to the Transport of Bulk Materials, S. C. Cowin, ed., Am. Soc. Mech. Eng., AMD-31 (1979), pp. 79–89.Google Scholar
- J. T. Jenkins and D. F. McTigue, Viscous fluctuations and the rheology of concentrated supensions, in preparation.Google Scholar