转子泵流量脉动系数的通用模型研究Study on General Model of Flow Ripple Coefficient for Rotor Pump
李玉龙,刘萍,陈莹,范钧,李秀荣
Li Yulong,Liu Ping,Chen Ying,Fan Jun,Li Xiurong
摘要(Abstract):
为考察转子泵流量品质和建立流量脉动系数通用模型。基于凸转子共轭原理,依序由扫过面积法求解瞬时流量,由脉动因数的定义,建立流量脉动系数关于脉动因数的通用模型;再由转子型线统一的参数化坐标方程,建立脉动因数所需的瞬心半径及其法向角公式;由实例运算的分析结果,最终建立流量脉动系数关于转子形状系数的最简洁模型。结果表明:叶数和型线类型直接决定形状系数取值;最大脉动因数发生在共轭型线段的起点上,最小脉动因数≡2发生在位于节圆的终点上;同形状系数、不同叶数、不同型线类型的最大脉动因数相同,容积利用系数变化不大;形状系数为影响脉动系数的直接要素,形状系数越小,脉动系数越小。所述结论能为转子泵最优化设计提供理论基础。
To investigate flow quality of rotor pump and establish general model of flow ripple coefficient,based on conjugate principle of a convex rotor pair,firstly from instantaneous flow rate solved by sweeping area method and definition of ripple factor,the general model of flow ripple coefficient changing with ripple factor was derived;then from unified parametric coordinate equation of all rotor profile types,its instantaneous center radius and normal angle formula at conjugate point were derived for solving aforesaid ripple factor;finally from analysis results of an example operation,the general concise model of flow ripple coefficient only about shape coefficient was derived.All results show that rotor shape factor was determined directly by blade number and profile type;the maximum ripple factor was generated at the beginning point of conjugate profile segment,and the minimum ripple factor≡2 occurred at the endpoint of pitch circle;despite the difference in blade number and profile type,as long as the shape factors were same,the maximum ripple factor had to be same,and volume utilization coefficient did not change much,neither;shape factor could be attributed to direct factor affecting flow ripple coefficient,the smaller the shape factor was,the smaller flow ripple coefficient was.These conclusions provide an additional theoretical basis for future optimal design of rotor pump.
关键词(KeyWords):
转子泵;流量脉动系数;通用模型;脉动因数;形状系数;扫过面积法
rotor pump;flow ripple coefficient;general model;ripple factors;shape factor;sweep area method
基金项目(Foundation): 宿迁市科技计划项目(K201924);; 宿迁市“千名领军人才集聚计划”项目;; 宿迁学院高层次人才引进项目(201805)
作者(Author):
李玉龙,刘萍,陈莹,范钧,李秀荣
Li Yulong,Liu Ping,Chen Ying,Fan Jun,Li Xiurong
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