In this work, we consider methods for analytical construction of the profile of rotor blades mixer, as well as mathematical modeling of their work on moving and mixing bulk material on a conveyor to increase process efficiency mixing raw materials and optimizing its operating costs. In addition to increasing the effectiveness of the mixing process and lower operating costs, the goal of implementation the proposed methods is the consciousness of production with the least possible errors that would meet modern technical requirements and be adapted to consumer tasks. In this regard, the aim of this work was to determine rational parameters and geometric characteristics of the profile of the rotor mixer blades contributing to improving the quality of mixing the metallurgical charge transported on a conveyor belt. To achieve the goal by modeling, which is a key method of the fourth concept industrial revolution, using the developed mathematical model analyzed the movement of a particle of material along a conveyor belt with its subsequent interaction with the blades of the working body of the rotary mixer.

Purpose. Improvement of the effectiveness of mining equipment operation due to accuracy increase in calcula tions of a compressed air parameters at design of pneumatic network. methodology. Theoretical and empirical methods of research were used in the paper. Mathematical modeling of thermohydrogasdynamic processes at a compressed air flow through the pipeline is carried out. Methods of mathe matical statistics were used. Findings. Mathematical modeling of a compressed air flow through the pipeline when the air temperature is above ambient temperature, coming with a heat rejection to the ambient air and throttling due to pipe resistance is carried out. In this case, change in air conditions in the flow depends on a ratio of the temperature change caused by heat rejection and pressure because of pipe resistance. Dependences of change in temperature and pressure of the com pressed air through the pipeline length are obtained. Exploratory tests and results of numerical calculations confirmed adequacy of mathematical models of a com pressed air flow through pneumatic pipeline. Originality. New dependences for determination of pressure and temperature of compressed air considering change in the heattransfer coefficient through pneumatic pipeline are obtained. Practical value. The use of the received dependences when designing pneumatic networks of mines allows provid ing generation of compressed air with necessary parameters for uninterrupted pneumatic supply of the mining equip ment of mines.

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