Verification of mathematical model of transonic axial compressor stage

The research presents the results of verification and validation of the mathematical model of the flow path transonic model NASA Stage 37 axial compressor using the data of the experiment conducted by NASA in the 1970s. The work presents the sequence of constructing a mathematical model of the flow path, as well as geometric models of the blade units. The mathematical model of the impeller blades is constructed based on the geometry of the blade airfoil obtained from the results of calculating the stress-strain state using the finite element method. When calculating the stress-strain state of the blade, the effect of gas-dynamic loads and centrifugal forces is considered. For gas-dynamic calculations, a study is conducted on grid independence with a description of the calculation method for the first near-wall layer and a justification for the choice of the turbulence model. A numerical study of the viscous gas flow in the flow path of the model stage is carried out considering the distribution of flow parameters and the position of the measurement control points according to the NASA report. As a result of numerical studies, gas-dynamic characteristics of the stage are constructed, and the distribution of flow parameters in the calculated sections along the height of the flow part is investigated. The obtained gas-dynamic characteristics based on the developed mathematical model quantitatively and qualitatively correspond to the results of NASA gas-dynamic tests. The obtained model can be used for further optimization or other calculations using the finite element method.