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首页> 外文期刊>Journal of Non-Newtonian Fluid Mechanics >Modeling and simulation of the viscoelastic fluid mold filling process by level set method
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Modeling and simulation of the viscoelastic fluid mold filling process by level set method

机译：水平设定方法粘弹性液体模具灌装工艺的建模与仿真

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摘要

A model for unifying a viscoelastic fluid and a Newtonian fluid is established, in which the governing equations for the viscoelastic fluid and the Newtonian fluid are successfully united into a system of generalized Navier-Stokes equations. A level set method is set up to solve the model for capturing the moving interface in the mold filling process. The physical governing equations are solved by the finite volume method on a non-staggered grid and the interpolation technique on the collocated grid is used for the pressure-velocity and the stress-velocity decoupling problems. The level set and its reinitialization equation are solved by the finite difference method, in which the spatial derivatives are discretized by the 5th-order Weighted Essentially Non-Oscillatory (WENO) scheme, and the temporal derivatives are discretized by the 3rd-order Total Variation Diminishing Runge-Kutta (TVD-R-K) scheme. The validity of the method is verified by some benchmark problems. Then a simulation of viscoelastic fluid mold filling process is pursued with the method. The moving interface and all the information of the physical quantities during the injection process are captured. The die swelling phenomenon is found in the simulation. The influences of elasticity and viscosity on the physical quantities such as stresses etc. in the mold filling process are analyzed. Numerical results show that elastic characteristics such as the stretch and die swelling etc. reinforce accordingly as Weissenberg number increases. Pressures increase continuously in the mold filling process and the pressure maintains the maximum value at the inlet. Injection velocity is proportional to injection pressure. A higher viscosity leads to a higher pressure distribution, that is, the pressure decreases as Reynolds number increases.
机译：建立了一种统一粘弹性液和牛顿流体的模型，其中粘弹性流体和牛顿流体的控制方程成功地联合到广义Navier-Stokes方程系统中。设置了一个级别的设置方法，以解决模型，以捕获模具灌装过程中的移动界面。物理控制方程通过在非交错电网上的有限体积法解决，并且配合网格上的插值技术用于压力 - 速度和应力 - 速度去耦问题。通过有限差分法解决了水平集及其重新升化方程，其中空间衍生物由基本上非振荡（Weno）方案的第五阶加权离散化，并且时间衍生物被3rd阶总变化离散化减少跑步 - kutta（TVD-RK）方案。通过一些基准问题验证该方法的有效性。然后用该方法追求粘弹性流体模具灌装过程的模拟。捕获在注射过程期间物理量的移动接口和所有信息。模拟中发现了模具膨胀现象。分析了弹性和粘度对模具填充过程中的物理量的影响。数值结果表明，随着Weissenberg的数量增加，弹性特性等诸如拉伸和模杆等。在模具灌装过程中连续增加压力，压力保持入口处的最大值。注射速度与注射压力成比例。更高的粘度导致更高的压力分布，即，随着雷诺数的增加，压力降低。

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  • 作者

    Yang B.; Ouyang J.; Li Q.; Zhao Z.; Liu C.;

  • 作者单位

    School of Science Northwestern Polytechnical University Xi'an 710129 Shaanxi China;

    School of Science Northwestern Polytechnical University Xi'an 710129 Shaanxi China;

    School of Science Northwestern Polytechnical University Xi'an 710129 Shaanxi China;

    School of Science Northwestern Polytechnical University Xi'an 710129 Shaanxi China;

    National Engineering Research Center for Advanced Polymer Processing Technology Zhengzhou University Zhengzhou 450002 Henan China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 流体力学;
  • 关键词

    Gas-liquid flow; Level set; Mold filling; Polymer; Viscoelastic fluid;

    机译：气液流动;水平设定;模具填充;聚合物;粘弹性液体;

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