基于Φ函数的等熵膨胀过程数学模型  

Mathematical model of isentropic expansion process based on Φ function

作　　者：郑海飞[1] 唐豪[1] 

机构地区：[1]南京航空航天大学能源与动力学院,南京210016

出　　处：《航空动力学报》2012年第9期2035-2040,共6页Journal of Aerospace Power

基　　金：国家自然科学基金(NSFC51076064);江苏省"六大人才高峰"第五批高层次人才项目(2008136)

摘　　要：为了解决航空发动机总体性能计算中,主要的等熵膨胀过程数学模型中存在理想状态值的计算,使计算结果与实际值相比产生一定误差的问题.从过程效率定义式入手,推导出基于Φ函数的等熵膨胀过程数学模型.与基于熵的等熵膨胀过程数学模型以及带理想状态值计算的等熵膨胀过程数学模型的计算结果进行比较与分析之后,得出结论是:①基于Φ函数的等熵膨胀过程数学模型的应用可使计算精度得到提高;②基于Φ函数的等熵膨胀过程数学模型的应用较为简便,可以提高编程效率和计算效率.Recently,the calculation of ideal value was involved in the main mathematical model of isentropic expansion process,so compared with the actual value,the results had a certain error.Deriveing the mathematical model of isentropic expansion process based on Φ function by using the definition type of process efficiency.Compared with the results from the mathematical model of isentropic expansion process based on entropy and the mathematical model of isentropic expansion process based on ideal value,concluded that：（1） accuracy can be improved when applying the mathematical model of isentropic expansion process based on Φ function;（2） application of the mathematical model of isentropic expansion process based on Φ function is simple,and can greatly improve the programming efficiency and computational efficiency.

关 键 词：航空发动机 总体性能 等熵膨胀 数学模型 过程效率 熵 理想状态 Φ函数 

分 类 号：V231.1[航空宇航科学与技术—航空宇航推进理论与工程]