Abstract
This paper addresses the one-dimensional stability of non-Brownian concentrated suspensions of solid particles in a viscous, Newtonian host fluid. Recent developments have shown the particle phase pressure to strongly affect suspension stability, but a concensus on the representation of this quantity remains a subject of some controversy. Here, attention is focused on the particle phase pressure that has a viscous origin. The form of this viscous particle interaction is developed for suspensions using an energy dissipation approach, and it is included in the conservation equations for the suspension to determine its effect on sedimenting or fluidized particles at very high concentrations. By means of a linear perturbation analysis, its affect on stability is analyzed, and it is shown to have a highly altenuative and dispersive effect on concentration waves.
Notes
*This work is supported by the NSF under grant MSM-8809233.