A level set based immersed boundary method for simulation of non-isothermal viscoelastic melt filling process

doi:10.1016/j.cjche.2020.09.057

中国化学工程学报 ›› 2021, Vol. 32 ›› Issue (4): 119-133.DOI: 10.1016/j.cjche.2020.09.057

• Fluid Dynamics and Transport Phenomena • 上一篇下一篇

A level set based immersed boundary method for simulation of non-isothermal viscoelastic melt filling process

Qiang Li, Fangcao Qu

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China

收稿日期:2020-02-13 修回日期:2020-08-27 出版日期:2021-04-28 发布日期:2021-06-19
通讯作者: Qiang Li
基金资助:
This work is supported by the National Natural Science Foundation of China (11701153), the Foundation of the Developing Center of INCTMat at Federal University of Parana, Brazil (465591/2014-0), and the Research Fund for the Doctoral Program of Henan Polytechnic University (B2013-057).

A level set based immersed boundary method for simulation of non-isothermal viscoelastic melt filling process

Qiang Li, Fangcao Qu

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China

Received:2020-02-13 Revised:2020-08-27 Online:2021-04-28 Published:2021-06-19
Contact: Qiang Li
Supported by:
This work is supported by the National Natural Science Foundation of China (11701153), the Foundation of the Developing Center of INCTMat at Federal University of Parana, Brazil (465591/2014-0), and the Research Fund for the Doctoral Program of Henan Polytechnic University (B2013-057).

摘要/Abstract

摘要： In this work, the polymer melt filling process is simulated by using a coupled finite volume and level-set based immersed boundary (LS-IB) method. Firstly, based on a shape level set (LS) function to represent the mold boundary, a LS-IB method is developed to model the complex mold walls. Then the nonisothermal melt filling process is simulated based on non-Newtonian viscoelastic equations with different Reynolds numbers in a circular cavity with a solid core, and the effects of Reynolds number on the flow patterns of polymer melt are presented and compared with each other. And then for a true polymer melt with a small Reynolds number that varies with melt viscosity, the moving interface, the temperature distributions and the molecular deformation are shown and analyzed in detail. At last, as a commonly used application case, a socket cavity with seven inserts is investigated. The corresponding physical quantities, such as the melt velocity, molecular deformation, normal stresses, first normal stress difference, temperature distributions and frozen layer are analyzed and discussed. The results could provide some predictions and guidance for the polymer processing industry.

关键词: LS-IB method, Non-isothermal filling, Non-Newtonian fluids, Multiscale, Numerical simulation

Abstract: In this work, the polymer melt filling process is simulated by using a coupled finite volume and level-set based immersed boundary (LS-IB) method. Firstly, based on a shape level set (LS) function to represent the mold boundary, a LS-IB method is developed to model the complex mold walls. Then the nonisothermal melt filling process is simulated based on non-Newtonian viscoelastic equations with different Reynolds numbers in a circular cavity with a solid core, and the effects of Reynolds number on the flow patterns of polymer melt are presented and compared with each other. And then for a true polymer melt with a small Reynolds number that varies with melt viscosity, the moving interface, the temperature distributions and the molecular deformation are shown and analyzed in detail. At last, as a commonly used application case, a socket cavity with seven inserts is investigated. The corresponding physical quantities, such as the melt velocity, molecular deformation, normal stresses, first normal stress difference, temperature distributions and frozen layer are analyzed and discussed. The results could provide some predictions and guidance for the polymer processing industry.

Key words: LS-IB method, Non-isothermal filling, Non-Newtonian fluids, Multiscale, Numerical simulation

Qiang Li, Fangcao Qu. A level set based immersed boundary method for simulation of non-isothermal viscoelastic melt filling process[J]. 中国化学工程学报, 2021, 32(4): 119-133.

Qiang Li, Fangcao Qu. A level set based immersed boundary method for simulation of non-isothermal viscoelastic melt filling process[J]. Chinese Journal of Chemical Engineering, 2021, 32(4): 119-133.

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A level set based immersed boundary method for simulation of non-isothermal viscoelastic melt filling process

A level set based immersed boundary method for simulation of non-isothermal viscoelastic melt filling process

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