| Popis: |
Screen modelling has traditionally been based on rudimentary empirical ‘factor’ methods, or semi-empirical data-fitting techniques. Both of these methods have significant limitations in practice, and industrial screen optimization remains somewhat of an ‘art’. This thesis introduces the concept of dimensional analysis and scale model similitude to the problem of modelling vibrating screens. This leads to a new method of modelling industrial screens. A small-scale screen can be built at a more convenient scale in the laboratory, and used to predict the performance of a large industrial scale machine. Verification of the scaling theory is based on three separate methods: 1. Firstly, the scaling theory is developed by analysing particle-level forces acting in a dry granular system. It is shown that scale-up of granular systems can be achieved using Froude scaling: that is, if the geometry and operating variables in an experiment are scaled in a pre-defined manner, the behaviour of the particles in the full-scale can be predicted from the behaviour of the particles at the smaller scale. 2. Secondly, the scaling rules are applied to a number of idealized granular systems using numerical simulations via the discrete element method (DEM). The granular systems modelled include inclined vibrating feeders and inclined vibrating screens. It is found that simulations performed at different scales yield almost identical dimensionless responses when the geometry and operating conditions are scaled according to Froude scaling rules. 3. Thirdly, the scaling rules are applied to modelling physical screening data. A dataset obtained from a larger pilot-scale screen in a thesis by R. De Pretto (1992) is reproduced at a smaller scale in this thesis using a purpose-built laboratory-scale screen. The throughput, efficiency curves and cut size are shown to be predictable at all feed rates, despite the former dataset being based on a screen with a feed sample size of around 5000 kg per test and the latter dataset obtained using a feed sample size of less than 30 kg per test. The thesis also touches on modelling the screening efficiency curves. A fully dimensionless version of the proven and familiar Whiten screen model is proposed. Finally, some of the further possibilities of this theory are discussed briefly in a section on further work; these include further applications of the Screening Physical Model and the application of Froude scaling to the modelling of other granular systems. |
