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变螺距螺杆真空泵内部工作过程建模与热力分布规律

Modeling of the Internal Working Process of Variable Pitch Screw Vacuum Pump and the Law of Thermal Distribution within the Pump

  • 摘要: 掌握螺杆真空泵内部工作过程是设计高性能螺杆转子的基础,本文对变螺距螺杆真空泵工作过程进行了建模分析。首先,基于简化泄漏通道几何结构模型,构建了螺杆真空泵泊肃叶流、库爱特流两种流动方式下粘滞流、过渡流、分子流三种流态的基于时间的内部泄漏通道级间泄漏模型;然后,基于气体运输条件假设,构建了内部吸气阶段、压缩阶段、反冲阶段及排气阶段气体运输模型;最后基于内部泄漏通道级间泄漏模型和气体运输模型,揭示了内部质量、压力和温度分布情况以及泄漏流速分布规律。分析结果表明:(1)随着入口压力减小,内部质量减小,压力减小,温度升高,泄漏质量占总质量比例升高;(2)随着间隙减小,内部质量减小,排气温度减小,泄漏质量占总质量比例减小;(3)吸气和压缩阶段,主要泄漏通道为齿尖啮合间隙(凹面间隙),排气阶段,主要泄漏通道为齿顶间隙。研究结果对螺杆转子设计以及螺杆真空泵性能优化具有指导意义。

     

    Abstract: Understanding the internal working process of screw vacuum pumps is the foundation for designing high-performance screw rotors. In this paper, a modeling analysis of the working process of variable pitch screw vacuum pumps is carried out. Firstly, based on the geometric structure model of the simplified leakage channel, a time-based inter-stage leakage model of the internal leakage channel for the screw vacuum pump is constructed under two flow modes, namely Poiseuille flow and Couette flow, and three flow states, namely viscous flow, transitional flow, and molecular flow. Then, based on the assumptions of gas transportation conditions, a gas transportation model for the internal suction stage, compression stage, recoil stage, and exhaust stage is constructed. Finally, based on the inter-stage leakage model of the internal leakage channel and the gas transportation model, the internal mass, pressure, and temperature distributions, as well as the distribution law of leakage flow velocity, are revealed. The analysis results show that: (1) as the inlet pressure decreases, the internal mass decreases, the pressure decreases, the temperature increases, and the proportion of leakage mass in the total mass increases; (2) as the clearance decreases, the internal mass decreases, the exhaust gas temperature decreases, and the proportion of leakage mass in the total mass decreases; (3) during the suction and compression stages, the main leakage channel is the tip meshing clearance (concave clearance), and during the exhaust stage, the main leakage channel is the tip clearance. The research results have guiding significance for the design of screw rotors and the performance optimization of screw vacuum pumps.

     

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