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由于从飞机发动机中引出气流的不稳定流动,对飞机空调系统的精确调节有很大影响.根据气体流动的基本定理,一种适用于小管径、多变量输入输出的可压缩气体管内流动的动态数学模型已在本文推导出,并采用频域和时域方法对数学模型进行了分析.研究结果表明:当气体的入口压力波频率上升到一定值时,出口压力将急剧上升.流量的变化对出口压力影响最大.入口温度的变化对出口压力和流量有影响,但入口压力和流量的扰动对出口温度没有影响.管路中温度的阶跃响应是延时一定时间后急剧上升,调整时间很短.
Due to the unsteady flow of air from the aircraft engine, the precise adjustment of the aircraft air conditioning system has a significant impact. According to the basic theorem of gas flow, a dynamic mathematical model of compressible gas flow in tube with small diameter and multivariable input and output has been derived in this paper, and the mathematical model has been analyzed by using frequency and time domain methods. The results show that when the frequency of gas inlet pressure wave rises to a certain value, the outlet pressure will increase sharply. Changes in the flow of the greatest impact on the export pressure. Changes in inlet temperature have an effect on outlet pressure and flow, but inlet pressure and flow disturbances have no effect on outlet temperature. The step response of the temperature in the pipeline is a sharp rise after a certain time delay, and the adjustment time is very short.