Authors: A.B. Arinova

Title of the article: Mathematical modelling for the electro diffusive transport of ions of the chloride complex rhodium in the cathode camera of membrane electrolyzer

Year: 2019, Issue: 3, Pages: 37-43

Branch of knowledge: 05.17.02 Technology of rare, scattered and radioactive elements

Index UDK: 519.876.6:004.942:544.6

DOI: 10.26730/1999-4125-2019-3-37-43

Abstract: The necessity appears to build mathematical models of the electro diffusive transport of ions of chloride complex rhodium in a cathode camera when designing an electrolyzer with ion-exchange membranes in order to further predict the rhodium recovery process and optimize the process parameters taking into account the simulation results. Methods of numerical and mathematical modeling are used to build a mathematical model for the transport of ions of the chloride complex rhodium. The Nernst-Planck’s and Poisson’s equations were used to solve the problem of constructing a mathematical model. The physical area of the rhodium electrolysis process in the electrolyzer was determined to be mathematically modeled; the ionic composition of the process was determined. The visualization of the research results was carried out using the Comsol Multiphysics software for modeling scientific and technical problems. As a result of the study, a mathematical model has been developed for the stationary mass transfer of the rhodium chloride complex in the cathode chamber of a membrane electrolyzer through the “ion-exchange membrane – solution” phase interface. Concentration profiles of a cation of H⁺, anions RhCl₆^3-, Cl^-, and density of a spatial charge in a diffusive layer at a surface of a cation-exchange membrane was constructed at various values of falling of potential electric fields (0.05 V; 0.1 V; 0.3 V) in the electrolyzer.

Key words: mathematical modeling Nernst-Planck’s and Poisson’s equationсs electrolyzer cation-exchange membrane chloride complex of rhodium

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