CIESC Journal ›› 2020, Vol. 71 ›› Issue (8): 3545-3555.DOI: 10.11949/0438-1157.20200040

• Fluid dynamics and transport phenomena • Previous Articles     Next Articles

Numerical simulation of distributive mixing under a pair of triangular cams

Baiping XU1,2(),Biao LIU1,2,Yao LIU2,3,Shouzai TAN2,Yaoxue DU1,Chuntai LIU3   

  1. 1.School of Intelligent Manufacturing, Wuyi University, Jiangmen 529020, Guangdong, China
    2.Advanced Research Center for Polymer Processing Engineering of Guangdong Province, Guangdong Industry Polytechnic, Guangzhou 510300, Guangdong, China
    3.National Engineering Research Center on Advanced Polymer Process Technology, Zhengzhou University, Zhengzhou 450002, Henan, China
  • Received:2020-01-10 Revised:2020-05-20 Online:2020-08-05 Published:2020-08-05
  • Contact: Baiping XU

不同错列角三角形转子作用下的分布混合数值模拟

徐百平1,2(),刘彪1,2,刘尧2,3,谭寿再2,杜遥雪1,刘春太3   

  1. 1.五邑大学智能制造学部,广东 江门 529020
    2.广东轻工职业技术学院广东省高分子材料先进加工工程技术研究中心,广东 广州 510300
    3.郑州大学橡塑模具国家工程研究中心,河南 郑州 450002
  • 通讯作者: 徐百平
  • 作者简介:徐百平(1969—),男,博士,教授,xubaiping2003@163.com
  • 基金资助:
    国家自然科学基金项目(11972023)

Abstract:

The mixing process of a highly viscous Newtonian fluid in a cavity stirred by a pair of triangular cams with different staggered angles was investigated numerically. Owing to the symmetry and period of the moving cams, only one-third of the period was calculated by a transient finite element method (FEM) combined with the mesh superposition technique (MST). A fourth-order Runge-Kutta scheme was developed to execute particle tracking based on periodic velocity fields. Mixing was characterized in terms of Poincaré sections, a Lagragian coherent structure (LCS), and a variance index of mixing. The results showed that mixing and energy consumption were insensitive to the different staggered angles. All cases approached the same asymptotical value of the variance index of mixing and shared a similar mixing mechanism where partially chaotic mixing was embedded with regular laminar Komogorov-Arnold-Moser (KAM) islands.

Key words: computational fluid dynamics, laminar mixing, Lagragian coherent structure, chaos, triangular cams

摘要:

以高黏度牛顿流体为研究对象,采用数值模拟方法研究了不同错列角的三角形转子搅拌作用下的腔内的混合过程。根据运动转子的对称性和周期性,用瞬态有限元法(FEM)结合网格叠加技术(MST)计算了三分之一的周期。提出了一种基于周期速度场的四阶Runge-Kutta算法。采用Poincaré截面、拉格朗日相干结构和混合方差指数等对混合进行表征。结果表明,不同错列角对混合和能耗的影响不明显,所有的混合情况都接近于相同的混合方差指数的渐近值,并具有相似的混合机制,属于部分混沌混合,贴近转子各边嵌入了规则的层流KAM(Komogorov-Arnold-Moser)岛。

关键词: 计算流体力学, 层流混合, 拉格朗日相干结构, 混沌, 三角形转子

CLC Number: