内摆线齿轮泵齿廓在流场中的几何特性分析  

Analysis of Geometrical Characteristics of Tooth Profile of Hypocycloid Gear Pump in Flow Field

作　　者：黄龙龙 王艳华 刘勇 徐劲松 谢志敏 HUANG Longlong;WANG Yanhua;LIU Yong;XU Jinsong;XIE Zhimin(School of Energy and Power Engineering,North Central University,Taiyuan Shanxi 030051,China;China Weapon Industry Inner Mongolia First Machinery Manufacturing(Group)Co.,Ltd.,Baotou Inner Mongolia 014030,China)

机构地区：[1]中北大学能源动力工程学院,山西太原030051 [2]中国兵器工业内蒙古第一机械制造(集团)有限公司,内蒙古包头014030

出　　处：《机床与液压》2020年第7期143-148,165,共7页Machine Tool & Hydraulics

摘　　要：目前内摆线齿轮泵摆线轮齿廓参数的设计与优化大多采用二维几何理论,未能考虑其在流场中的几何特性。为此,采用COMSOL软件平台建立了绕流模型,经与前人的实验数据进行验证后,将该模型应用于内摆线柱体绕流特性的二维数值模拟;分析了齿廓周围的涡流分布规律以及压力系数、升力系数和阻力系数变化规律;进一步分析了齿廓参数对内摆线柱体绕流的流动稳定性的影响。结果表明:由于边界层分离随着齿宽的增大而逐步延迟,从而延缓涡的脱落;齿顶宽随着创成系数和弧径系数的增大而减小,造成抵抗逆压力梯度所消耗的能量增大,使得阻力系数减小。由于涡的脱落波动性,升力系数呈现周期性变化;创成系数为1.3、弧径系数为0.55时,齿顶和齿间凹槽对涡脱落有综合延缓作用,降低尾流旋涡的能量,使得卡门涡街脱落频率和剪切层不稳定频率最低,绕流流动稳定性最好。所求得的齿廓参数的最优值为内摆线齿廓的设计与优化提供了依据,该分析方法也可作为同类型产品设计的参考。At present,the design and optimization of profile parameters of hypocycloid gear pump mostly use the two-dimensional geometic theory.Its geometric properties in the flow field are not considered.Therefore,the flow around model was established by using COMSOL software platform.After verification with previous experimental data,the model was applied to the two-dimensional numerical simulation of the flow characteristics of the hypocycloid cylinder.The distribution of eddy around the tooth profile and the variation law of pressure coefficient,lift coefficient and drag coefficient were analyzed.The influence of tooth profile parameters on the flow stability was further analyzed.The results show that as the boundary layer separation is gradually delayed with the increase of tooth width,the vortex shedding is delayed.With the increase of generating coefficient and arc diameter coefficient,the tooth top width is decreased,resulting in the increase of energy consumed to resist the inverse pressure gradient and the decrease of drag coefficient.Because of the fluctuation of vortex shedding,the lift coefficient changes periodically.When the generating coefficient is 1.3 and the arc radius coefficient is 0.55,the tooth top and the groove between the teeth play a synthetical role in delaying the shedding of vortexes,which can reduce the wake vortex energy,and makes the Karman vortex shedding frequency and shear layer instability frequency the lowest and the flow stability of flow around the best.The optimal value of tooth profile parameters obtained provides a basis for the design and optimization of hypocycloid tooth profile,and the analysis method can also be used as a reference for the design of products of the same type.

关 键 词：内摆线 绕流 齿廓参数 卡门涡街 剪切层不稳定 

分 类 号：TH326[机械工程—机械制造及自动化]