Abstract
The motion of single particles in liquids undergoing two-dimensional oscillations has been studied both experimentally and theoretically. By imposing combined vertical and horizontal oscillations on a liquid, particle mean motion can be controlled so that individual particles either rise against gravity or fall. The one dimensional equation of particle motion was modified to suit this situation and numerical solutions were used to predict the occurrence of the rising motion although agreement with experiment was only qualitative. A dimensional analysis approach combined with experiments allowed prediction of particle behaviour within the range of variables of this study. Extension of the single particle studies to mixtures of quartz and galena in various flowing liquids allowed prediction of the conditions under which separation and upgrading of minerals could occur and this was verified experimentally.
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