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ArticleName Problems of analysis of thermalphysic processes in a reaction zone of electrothermal reactor
DOI 10.17580/nfm.2017.01.08
ArticleAuthor Panchenko S. V., Dli M. I., Bobkov V. I., Panchenko D. S.
ArticleAuthorData

Branch of the National Research University “Moscow Power Engineering Institute”, Smolensk, Russia:

S. V. Panchenko, Professor, Chair of Physics
M. I. Dli, Professor, Head of a Chair of Management and Information Technologies in Economics, e-mail: midli@mail.ru
V. I. Bobkov, Assistant Professor, Chair of Mathematics
D. S. Panchenko, Engineer

Abstract

Analyzed are thermalphysic processes in an ore-smelting electrothermal reactor, which is a reaction bulk with different phase composition, where mechanisms of turbulent energy transfer act together with the physical-chemical target transformations proceeding. Chemical reduction processes proceed when isolating the gas phase, bubbling the melt and intensifying processes of the product making. Independent problems of analysis of thermalphysic processes in a near-electrode crucible reaction zone based on a two-dimensional model are considered. Analytical solutions for describing thermalphysic processes in a reaction zone which characterize conditions of the target product manufacturing are obtained. There are cited the data which define distributions of the Joule heat emission flux density for different modes as well as distribution of temperatures depending on different unit power values. Obtained are analytical solutions for energy metabolism problem under the change of phase condition in a slag tipping mode and equations of diffusion of the reagent being reduced in the area of physical-chemical transformations proceeding. Skull layer formation task is solved. Obtained solutions practically describe all the collection of processes in a reaction zone and can serve as a starting point for numerical approaches to analysis of reduction reactors operating modes. It is discovered that target processes are localized in a nearelectrode zone with formation of the crucibles practically unrelated with each other. However, the energy transfer processes broaden an effective area of reactions and should be taken into account during designing and mode control. Neglecting heat efficiency may introduce considerable errors in analysis of the modes.

This work was supported by the State Task of the Ministry of Education and Science of the Russian Federation (the basic part, project No. 13.9619.2017/BCh).

keywords Electrothermal reactor, thermalphysic process, mathematical model, mathematical physics equations, power distribution of the Joule heat sources, temperature distribution, concentration of reagent distribution over reactor volume, skull layer, near-electrode processes localization
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