Sparse liquid-solid two-phase flow characteristics analysis method based on phase field model

JI Shi-ming， ZHANG Wei， TAN Da-peng
（School of Mechanical Engineering， Zhejiang University of Technology， Hangzhou 310014， China）

Abstract： 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.
Key words： structured surface of the mold； phase field model； sparse liquid-solid two-phase flow characteristics； numerical simulation