The paper presents the results of mathematical modeling of the process of combined combustion of methane and coal dust in the air in a closed reactor. The effects of the combustion reaction of a wet methane-coal dust mixture, such as temperature, pressure and the composition of the combustion products are calculated.

The article presents a retrospective of scientific and educational activities of the Chair “Applied Information Technologies and Programming”. At the time of organization (in 1980), the Chair’s staff has set a task: to create specialists of a new plan (problem programmers) who simultaneously possess methods of research and mathematical description of specific objects (including metallurgical ones) and computer programming. By special order of the RSFSR Ministry of Higher Education, a new specialization was created in experimental order: “Computer support and computers in metallurgy”, which after 20 years of pedagogical experiment developed into the specialty “Information systems and technologies (by industry)”. The Chair was the first to produce such specialists not only in the region, but also in the country, and this experience was then adopted by other universities. The staff of the newly created Chair was one of the first in the country to create mathematical models of metallurgical processes, and then simulators and training systems based on them. An activity-based approach to learning based on a mathematical model of specific subject area was adopted as a pedagogical concept. Many years of experience in applying this approach has shown its high effectiveness. For the first time in metallurgy, a concept and a set of models of fundamentally new metallurgical process and unit with elements of self-organization was developed, characterized by an order of magnitude lower specific volume and one and a half times less energy consumption. Together with the designers and specialists of ZapSibMetKombinat (West Siberian Metallurgical Plant), a large-scale pilot installation of JER unit process was created, which confirmed the correctness of the proposed concept, worked out the main design points, and showed the practical feasibility of a number of new technologies developed. In a new process creating, software and tool systems were worked out: an algorithm for calculating the interrelated parameters of the process and the unit, the “Engineeringmetallurgy” system, a system for modeling complex heat transfer processes, and a system for simulating the particle level using the Monte Carlo method.

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