Modeling and simulation of three‐dimensional extrusion swelling of viscoelastic fluids with PTT, Giesekus and FENE‐P constitutive models
Modeling and simulation of three‐dimensional extrusion swelling of viscoelastic fluids with PTT, Giesekus and FENE‐P constitutive models
复制标题
DOI：
10.1002/fld.3760
复制
发表时间：
2013-07
影响因子：
1.8
通讯作者：
Y. Mu;Guoqun Zhao;Anbiao Chen;Xianghong Wu
中科院分区：
文献类型：
--
作者：
Y. Mu;Guoqun Zhao;Anbiao Chen;Xianghong Wu
粘弹性流体挤出溶胀机理的研究具有重要的科学和工业意义。然而，传统上对这一问题的理论和实验研究一直很困难。本文提出了一种基于罚有限元法和解耦算法的数值方法来模拟粘弹性流体从圆形口模中流出的三维挤出溶胀过程。采用Phan‐Thien坦纳模型、Giesekus模型和具有Peterlin封闭近似模型的有限可延伸非线性弹性哑铃模型等三种微分本构模型描述粘弹流体的流变响应。引入流线面法调整膨胀自由面。采用非一致流线迎风格式的离散弹粘劈裂应力算法，提高了计算稳定性。利用所提出的数值方法预测了粘弹性流体的基本流动特性，并进一步讨论了膨胀现象的机理。Copyright © 2013 John Wiley & Sons，Ltd.
The investigation of the extrusion swelling mechanism of viscoelastic fluids has both scientific and industrial interest. However, it has been traditionally difficult to afford theoretical and experimental researches to this problem. The numerical methodology based on the penalty finite element method with a decoupled algorithm is presented in the study to simulate three‐dimensional extrusion swelling of viscoelastic fluids flowing through out of a circular die. The rheological responses of viscoelastic fluids are described by using three kinds of differential constitutive models including the Phan‐Thien Tanner model, the Giesekus model, and the finite extensible nonlinear elastic dumbbell with a Peterlin closure approximation model. A streamface‐streamline method is introduced to adjust the swelling free surface. The calculation stability is improved by using the discrete elastic‐viscous split stress algorithm with the inconsistent streamline‐upwind scheme. The essential flow characteristics of viscoelastic fluids are predicted by using the proposed numerical method, and the mechanism of swelling phenomenon is further discussed.Copyright © 2013 John Wiley & Sons, Ltd.