Design of centrifugal radial fans using regression analysis methods

Abstract

With the development of scientific and technological progress in agriculture, the use of operational and mathematical modelling for effective solution of problems and resource conservation in the field of agricultural engineering is relevant. Therefore, the purpose of the study was to determine the optimal parameters of the centrifugal radial fan of a pneumatic precision seed drill by constructing a new mathematical model of the process of its operation. This was achieved by applying mathematical modelling methods when planning multi-factor experiments. As a result, a complex of automated experiments has been defined, which leads to a significant increase in the productivity of scientific work. A statistical representation of the experiment is established, which allows moving to a multi-factor active experiment, in which it is possible to separate the influence of factors from the noise background and make a transition to statistical methods for analysing the results. This allowed predicting the optimal characteristics of the centrifugal radial fan of the precision seed drill. In the course of this study, a new regression equation was compiled in the form of a first-degree polynomial, which determines the influence of each of the factors on the magnitude and value of the response. The coefficients of the polynomial are determined, the significance of the coefficients is estimated, and the adequacy of the proposed model is checked. After obtaining the regression equation, it became possible to graphically construct the dependence of the response function on impact factors. A fractional factor experiment was also performed, which determined the values of the parameters of the object’s state for all possible combinations of levels of variation of the factors Xi. Based on the established functional relationship between the output parameter of the fan, a regression equation of the following form is obtained: Pv=Pv(n, ß1, ß2, z). This predicted the receipt of the total pressure Pv (Pa), when setting different values of independent quantities n, ß1, ß2 and z. The application of the obtained analytical dependencies significantly simplified the determination of optimal design parameters of pneumatic systems for the development and construction of modern technical seed drills