ArticleName |
Method for calculating material distribution by floatability |
ArticleAuthorData |
National University of Science and Technology MISIS (Moscow, Russia):
Shekhirev D. V., Associate Professor, Candidate of Engineering Sciences, Senior Researcher, shekhirev@list.ru |
Abstract |
Deviations of actual material flotation kinetics from a theoretical model may have varied interpretations. Both formal methods for describing kinetic curves and methods related to the actual process phenomenology are used. The currently accepted methods for describing this inhomogeneity through the distribution of particles over the flotation rate are often reduced to kinetic curve approximations. At the same time, there is a trend toward minimizing the number of parameters requiring numerical values to be identified. It is partly due to the instability of the solution under minor changes in the initial data. This limits the applications of the calculated floatability spectra when analyzing the behavior of reagents, evaluating dressability, and modeling flotation circuits. The paper substantiates a working method for calculating a continuous piecewise-constant type of floatability distribution. A discretization method has been developed for the initial equation of the kinetics of an inhomogeneous material, to be subsequently used to identify the spectrum. The boundary flotation intensity values have been substantiated for a piecewise-constant representation of that spectrum. A stable algorithm for calculating material distribution by floatability for various actual products has been developed. It is shown that the spectrum may be sufficiently detailed by increasing the number of ranges in the piecewise-constant representation of the density function for the floatability distribution. Examples are given of floatability spectra calculations for actual materials and their application for the analysis of dressability and design of processing circuits. A computer program has been developed for establishing the floatability spectra and designing respective processing circuits. Its main interfaces are shown in the article. |
References |
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