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Rotating stall is a complex nonlinear dynamic phenomenon which is always characterized by catastrophe and hysteresis in high aerodynamic-loading compressor. Exploring the key contributing factors and characteristic rules of hysteresis is very important for compressor design and flow instability control. In this paper, a novel model method is proposed to analyze the hysteresis behaviors to extend the understanding of compressor rotating stall. The equilibrium states of compressor system under different conditions are first described based on Moore-Greitzer model. Then, through assessing the stability of the equilibrium points by Liapunov's theorem, the ratio of shutoff head to compressor characteristic semi-height is found to affect the stall hysteresis: the size of hysteresis loop will gradually decrease, even disappear with the increase of the ratio. Combing the effects of both the ratio and throttle coefficient, the hysteresis behaviors of compressor stall under multi-parameters can be found to be consistent with the topological properties of cusp catastrophic model by Thom’s catastrophe theory. Finally, according to topological invariant rules, from the perspective of potential function, the equilibrium surface equation of compressor system is developed by standard cusp catastrophic model to describe the various hysteresis behaviors of compressor rotating stall along different control routes. 相似文献
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用有限体积法数值模拟了任意回转流面跨音速压气机叶栅中的粘性流动,四步龙格-库塔法用于N-S方程的时间推进。给出了一种抑制叶栅计算中“数值失速”的方法,并采用隐式残差光顺技术加速收敛。用所发展的方法计算了三种叶栅在宽广来流Ma数条件下的流动,计算结果与实验结果吻合良好,流场激波具有较高的分辨率。 相似文献
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《中国航空学报》2023,36(2):1-16
In this study, the influence of inter-stage bleeding on the compressor performance and inter-stage flow field of a multistage axial compressor is investigated by both experimental and numerical methods. The experiment is conducted on a four-stage low-speed axial compressor, and a specific computational model is built to simulate the experiment environment accurately. To illuminate the fluid mechanisms of bleeding effect in detail, both the experiment and the simulation are carried out twice, i.e., in the first time, the mass flow rate upstream the bleed location is constant under different bleed rate conditions; while in the second time, the mass flow rate downstream the bleed location is constant under different bleed rate conditions. The results demonstrate that inter-stage bleeding has little influence on upstream compressor characteristics, and affects the upstream flow field only in the rear half of the stator. The bleed effect on the downstream flow field is embodied in the variation of an incoming flow profile, an increase as the compressor inlet flow coefficient decreases. Therefore, such an effect is only significant on compressor characteristics at small flow coefficient conditions. In multistage compressors, the variation of compressor characteristics and flow field caused by inter-stage bleeding is the comprehensive result of the bleeding and the variation of the upstream working condition. In addition, the comparison between numerical and experimental results shows that the flow moves towards top half of span through the downstream rotor passage in the numerical simulation, whereas the trend of flow field variation with different bleed rates at the outlet of the downstream rotor and stator is the same with that at the inlet of the downstream rotor in the experiment, which means that the numerical method has overestimated the radial mixing intensity of the flow. 相似文献