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In order to prolong the service life of multistage axial compressors, it is increasingly important to study the influence of blade surface roughness on the compressor performance. In this paper, a five-stage axial compressor of a real aero-engine was selected as the research object, and an equivalent gravel roughness model was used to model the roughness based on measured blade surface roughness data. Furthermore, the impact of blade surface roughness on the performance at design rotational speed was studied by full three-dimensional numerical simulation, and the mechanism of performance variation caused by the roughness was discussed combined with quantitative and flow field analyses. The results show that, when the blade surface roughness of all blades increases, the peak total efficiency decreases by approximately 0.4%, the blocking mass-flow decreases by approximately 0.3%, and the stable working range changes little. When the surface roughness of all rotor blades increases, the performance decline is close to that of all rotor and stator blades, and the variation in stator blade roughness has little effect on the compressor performance. Regarding the variation in roughness, the performance of the latter stage is more sensitive than that of the previous stage, and the decline in the performance of the fifth stage contributes the most to the total performance degradation of the compressor. Once the surface roughness of the fifth-stage rotor blade increases, the flow in the middle of the rotor blade deteriorates and the stage performance decreases obviously, which is the main reason for the decline in the overall performance.

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With the development of scientific and technological technology, modern information technology has been popularized and applied in the field of teaching, which has promoted the progress of educational undertakings. In the process of the application of information technology, the teaching concept in traditional teaching has been changed and the teaching method has been innovated. In the teaching of mathematics in colleges and universities, the teaching content involved is relatively difficult for students to learn, and it is also difficult to master teaching knowledge. Based on the analysis of the application of modern information technology in high efficiency mathematics teaching, this paper makes the following discussion on how to integrate modern educational information technology with mathematics teaching in colleges and universities.