Analytical model of mixing loose vegetable components

The purpose of the study is the analytical modeling of the functioning of the patented mixer of loose vegetable components and the optimization of its parameters. To achieve this goal, it is necessary to analytically substantiate the variability and energy intensity of the process of mixing bulk plant components depending on factor indicators. An analytical model for mixing loose herbal ingredients has been developed for the patented paddle mixer design. The factors chosen were: the angular velocity of the mixer shaft; blade angle; millet content in the mixture. The optimization criteria were: the variability of the mixture and the energy intensity of the process of mixing loose components. For analytical modeling, the Maple computer package was used. Analytical modeling of the regularities of functioning of the modified mixer of loose plant components and optimization of its parameters were implemented in several steps: analytical monitoring of a group of indicators of the mixing process was performed, including systematization and statistical processing of experimental data; analytical representation of the variability and energy intensity of the process of mixing loose plant components; optimization of the process of mixing loose plant components according to the values of the result indicators of variability and energy intensity. Regression equations for the variability and energy intensity of the process of mixing loose plant components are obtained. Thus, among the factorial indicators, the greatest influence on the variability is exerted by the angle of inclination of the blades, which has the greatest value in absolute value, then the content of millet in the mixture, and then the angular velocity of rotation of the mixer shaft. However, in terms of the effect on energy intensity, the greatest impact was noted for the angular velocity of rotation of the shaft, assessed by the absolute value of the correlation coefficient. The second place in terms of influence is occupied by the angle of inclination of the blades, the third place refers to the content of millet in the mixture.