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罗茨转子四种圆弧轮廓构造的性能对比与选型策略

Performance Comparison and Selection Strategy of Four Arc Contour Structures for Roots Rotors

  • 摘要: 目的为明确罗茨转子四种圆弧轮廓构造(A:顶轴圆心、B:节圆外中轴圆心、C:节圆内中轴圆心、D:谷轴圆心)对产品性能的量化影响及介质适配选型需求。方法该研究先基于统一轮廓构造方程,用UGNX软件量化叶截面积、质心半径等叶属性;再以Pumplinx软件对低黏度空气(1000 rpm)、高黏度水(400 rpm)开展CFD仿真;最后分析多维度性能。结果表明叶属性与理论流量特性排序为 B>C>A>D,B型转动惯量较A型降23.0%、理论排量增4.26%;低黏度下A型性价比最高、C型泄漏最大,高黏度下D型性价比最优(较A型增1.4%)、B型挤压膨胀压力波动极大。结论四种转子性能差异显著,选型需匹配介质黏度:低黏度优选B、C型,高黏度优选A、D型并辅以小径向尺寸与低转速。

     

    Abstract: This study aims to clarify the quantitative effects of four arc contour configurations of Roots rotors (Configuration A: center of the top shaft; Configuration B: center of the outer central shaft on the pitch circle; Configuration C: center of the inner central shaft on the pitch circle; Configuration D: center of the root shaft) on product performance and the medium adaptation and selection requirements. First, based on a unified contour construction equation, UGNX software was used to quantify rotor blade attributes such as blade cross-sectional area and centroid radius. Then, Pumplinx software was employed to conduct CFD (computational fluid dynamics) simulations for low-viscosity air (at 1000 rpm) and high-viscosity water (at 400 rpm). Finally, multi-dimensional performance was analyzed. The results show that the order of blade attributes and theoretical flow characteristics is B > C > A > D. Compared with Configuration A, the moment of inertia of Configuration B decreases by 23.0% and the theoretical displacement increases by 4.26%. Under low-viscosity conditions, Configuration A has the highest cost-performance ratio, while Configuration C has the largest leakage. Under high-viscosity conditions, Configuration D achieves the optimal cost-performance ratio (1.4% higher than that of Configuration A), and Configuration B exhibits extremely significant pressure fluctuations caused by extrusion and expansion. The four rotor configurations show significant differences in performance, and their selection must match the medium viscosity: Configurations B and C are preferred for low-viscosity media, while Configurations A and D are preferred for high-viscosity media, supplemented by small radial dimensions and low rotational speeds.

     

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