Anna Kapranova is Head of the Department of Theoretical Mechanics and Resistance of Materials, Yaroslavl State Technical University, Russia. She is D. Sc. in the physical and mathematical field (direction - processes and devices of chemical technologies, 2009), has more than 300 scientific publications on the modeling of bulk materials processing and liquid flow processes, as well as over 50 patents of the Russian Federation. Her research area includes modeling the processing of bulk materials, (for example, the technical operations of mixing and deaeration of solid disperse media) and the transport of fluid flows.
The problem of assessing the quality of the resulting loose mixture does not lose its relevance due to the extensive use of mixing equipment in various industries. The purpose of this study is to develop a method for estimating the coefficient of inhomogeneity of a loose mixture during the operation of a gravity device. The choice of the criterion for the quality of the mixture depends not only on the input parameters of the mixing process of the loose components (for example, physical properties of mixing materials) but also on the level of the theoretical base used in the development of engineering methods for calculating the appropriate apparatus.The proposed method of mixing loose components (with unequal volume-weight content in the finished product) using a gravity device with additional mixing drums with a spiral coiling of brush elements has three stages. Using the proposed stochastic model of the authors, it is possible to form a functional relationship between the coefficient of inhomogeneity of the free-flow mixture obtained at each of the three stages of portion mixing, with the design, regime parameters of the device and the physicomechanical characteristics of bulk materials. The applied model operates with nonequilibrium distribution functions for the number of particles by the characteristic parameters of the mixing process. The results of modeling the coefficient of inhomogeneity of the loose mixture allow us to choose rational ranges for changing the regime parameters of a newly designed mixer and to develop an engineering method for its calculation.