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To the 100-th anniversary of Academician Viktor V. Kafarov
ArticleName Mathematical modeling of kinetics of non-ferrous metals extraction from water solutions by electroflotation
DOI 10.17580/tsm.2015.04.09
ArticleAuthor Kolesnikov V. A., Brodskiy V. A., Aristov V. M., Ilin V. I.

D. Mendeleev University of Chemical Technology of Russia, Moscow, Russia:
V. A. Kolesnikov, Professor, Head of University, e-mail:
V. A. Brodskiy, Senior Researcher
V. M. Aristov, Professor, Provost for Academic Affairs
V. I. Ilin, Leading Researcher


There was carried out the mathematical modeling of non-ferrous metals (Cu, Zn, Ni, etc.) extraction from water solutions by electroflotation. A set of elementary phenomena proceeding in electroflotation device was considered as a sequence of interconnected stages, taking into account hydrodynamic conditions in device. Cellular model application to gas vials cloud, emerging in liquid volume in Stokes mode, allowed to receive the equation for calculation of function delay of vials speed emersion by means of constraint f (φ), similar to the Happels equation for firm spheres' movement. There was estimated the influence of physical and chemical parameters of flotation system on extraction from water solutions' disperse phase of hard soluble non-ferrous metals' compounds. The factor promoting formation aggregates “disperse phase – gas phase”, simultaneously increased the foam layer destruction speed. There was defined the system of differential equations with entry conditions α (0) = φ (0) = 0 (degree of metal extraction during the initial moment of time is equal to volume concentration of gas phase, equal to zero), which decision allows to find the valid kinetic curve of metal extraction by flotation α = f (τelectroflotation) for any current density (barbotage speed). Reduction of current density leads to significant increase of flotation time, calculated with the account of an exit on a stationary mode. At the same time, curves receive the S-shaped form of dependences α = f (τelectroflotation), which is more brightly expressed, when is is lesser. Comparison of modeling calculations with experimental data, received for hard soluble compounds of non-ferrous metals, has shown, that the model qualitatively truly describes experimental results. There was made a definition, that the range of required time of solution processing in electroflotation device makes 5–15 minutes.

This work was carried out with the financial support of Ministry of Education and Science of Russian Federation within the Subsidy Provision Meeting No. 14.574.21.0110 on October 20, 2014, unique identifier of the Agreement is RFMEFI57414X0110.

keywords Mathematical model, elementary process, system analysis, electroflotation, water solutions, disperse phase, non-ferrous metals

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