Analytical representation of elasticity and substantiation of quality criterion of the mixing bulk components process

The purpose of the study is an analytical representation of elasticity and substantiation of the criterion for the process of mixing bulk components. Tasks: to develop an analytical model of the process of mixing bulk components, taking into account indicators of elasticity and to analytically substantiate the quality criterion for mixing bulk components. The process of high-quality mixing of bulk mixtures of plant components depends on the design of the equipment used. The analytical model and quality criterion of the process of mixing bulk components are developed for the patented design of the paddle mixer. Wheat grain and millet were used as components of the mixture. The factors in the studies were: the angular velocity of the paddle mixer shaft; blade angle; millet content in the mixture. The target optimization functions were: the variability of the mixture, the energy intensity of the process of mixing bulk components, as well as a generalized indicator representing their convolution. The computer package Maple was used for the computational experiment. The proposed criterion for the quality and efficiency of mixing is presented in an analytical form as a maximization criterion, and the technological task of improving the process, accordingly, turns into a problem of conditional optimization. At the optimum points, the "mixed" generalized indicator has the property of elasticity - "sensitivity" to the control of the mixing process. The criterion of quality (efficiency) of the process of mixing bulk plant components was proposed to agree on the goal of increasing the productivity (high energy intensity) of the mixing process while ensuring its stability (low variability). The numerical values of the maxima at different levels are determined. When choosing the angular speed of rotation of the shaft, the angle of inclination of the blades, the content of millet in the mixture at a variation level not exceeding 1.85 %, the maximum energy intensity of the mixing process is achieved.