Some Aspects Of The Kinematic Behavior Of Solid Particles In Liquids

The movement of solid particles in a liquid represents an area of interest in many fields of science and technology. Knowledge of the behavior and characteristics of solid-liquid suspensions is of great importance to many areas of mineral processing. In order to characterize a solid-liquid system, the following factors must usually be considered: a) density of the liquid b) rheological properties of the liquid c) density of the solid particle d) size and shape of the solid particle e) volume fraction of solid particles f) relative motion of solid particles and liquid phase Other variables such as the effect of the containing vessel walls, Brownian movement, inter-particle friction, fluid slip and electrostatic effects, are important in special circumstances. Thus it is evident that a complete theoretical treatment is not possible covering all situations. Studies of the kinematic behavior of solid particles in a liquid have been approached by two methods: 1) Assessing the movement of a single particle and extrapolating to a multi-particle system; 2) Modifying the continuum mechanics of single-phase liquids in such a way as to account for the presence of solid particles. The first approach in general utilizes the method of particle mechanics. Extension to a multi-particle system gives rise to very complicated mathematical computation. The creeping motion equations do, however, furnish a practical, useful basis for achieving a uniform treatment and a better understanding of the phenomena. This approach is useful in the study of sedimentation and hindered settling processes.