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基于相位场模型的稀疏液固两相流场特性分析方法

         

摘要

Aiming at the difficulty of solving sparse liquid-solid two phase flow parameters of the structured surface in the mold of precision machining process, a method based on phase field model was put forward to analyze the characteristics of sparse liquid-solid two-phase flow. The velocity field and the pressure of the phase field model were controlled by the Navier-Stokes equation, while two-phase flow interface kinetics equation was controlled by the Cahn-Hilliard equation, thereby the dynamic model of soft abrasive two-phase flow pattern analysis system was established. Conventional second-order central schemes were used to close to the viscous terms and the surface tension terms. Meanwhile, a five-order WENO scheme was used to approximately discrete the incompressible two-phase flow, and TVD Runge-Kutta method was used to improve the time discrete precision in the process. Two rectangular flow channels with different dimensions were used as specific objects to simulate sparse liquid-solid two-phase flow, and variations of flow velocity field and pressure field were studied. The results indicate that the numerical simulation coincides with the theory, and coincides with foreign simulation results,thus it verifies the validity of the method,and provides a reliable theoretical basis for the research of soft abrasive flow machining.%针对在模具结构化表面精密加工过程中稀疏液固两相流场特性参数难以求解的问题,提出了一种基于相位场模型的稀疏液固两相流场特性分析方法.相位场模型中速度场和压力通过Navier-Stokes方程控制,两相流的分界面动力学方程由Cahn-Hilliard方程控制,从而建立了面向软性磨粒两相流流型分析的动力学模型;采用传统的二阶中心差分格式逼近粘性项和表面张力项,同时采用五阶WENO格式近似的对不可压缩两相流进行了空间离散化重构,并采用TVD Runge-Kutta方法提高了求解过程中时间的离散精度;以加工常用的长方形直流道为具体仿真实验对象,研究了稀疏液固两相流流经不同尺寸流道过程中的速度场与压力场变化.研究结果表明,两相流数值仿真结果与理论分析相符,且与国外仿真结果相吻合,从而验证了该方法的有效性,为软性磨粒流精密加工方面的研究提供了可靠的理论依据.

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