旋流泵中颗粒运动方程的探讨  

Inquiry into equation of particles motion in vortex-pump

作　　者：赵万勇[1] 李易松[1] 王振[1] 张亮[1] 

机构地区：[1]兰州理工大学流体动力与控制学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2007年第6期47-49,共3页Journal of Lanzhou University of Technology

摘　　要：实验发现旋流泵叶轮在无叶腔的位置对泵特性影响较大,为了确定旋流泵中叶轮的最佳安放位置,分析颗粒在泵中的运动轨迹是必要的.将两相流运动受力分析的知识运用到常见的颗粒在旋流泵受力分析中,并将旋流泵中具体颗粒的大小、密度等数据代入到各个受力的表达式中进行量级比较,在忽略小量的前提下推导出颗粒的运动方程.提出对颗粒通过位移与时间的关系将其时间差分转换为空间差分和流体采用耦合求解的数值方法,从而为最终数值求解大颗粒在旋流泵中的运动轨迹建立合适的数学模型.It was found by the experiment that the axial position of the vortex pump impeller in the vaneless pump chamber would have great effect on the pump ＇s performance. In order to determine the optimal axial position of the impeller in vortex pump, It was necessary to analyze the particles＇ track in the pump in order to bring the knowledge of two-phase flow into the kinetic analysis of particles in vortex pump. The size and density of particles in the vortex pump would then be substituted into the force expression derived from aforesaid analysis. The particles＇ motion equation was finally established after discarding the terms with high-order small magnitudes. The time difference terms in the equation were transformed into space difference according to the relation of the displacement to the time. By doing so, a numeric solution was presented with coupled fluid flow and an appropriate mathematical model for the motion track of the large particles in the pump was set up for final numeric solution.

关 键 词：旋流泵 固液两相流 流体动力学 数学模型 

分 类 号：TH311[机械工程—机械制造及自动化]