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Three‐dimensional simulation of planar contraction viscoelastic flow by penalty finite element method |
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| Authors: | Yue Mu Guoqun Zhao Chengrui Zhang Anbiao Chen Huiping Li |
| Affiliation: | 1. Key Laboratory of Liquid Structure and Heredity of Materials, Ministry of Education, Shandong University, Jinan, Shandong 250061, People's Republic of China;2. Engineering Research Center for Mould and Die Technologies, Shandong University, Jinan, Shandong 250061, People's Republic of China;3. School of Mechanical Engineering, Shandong University, Jinan, Shandong 250061, People's Republic of China |
| Abstract: | The planar contraction flow is a benchmark problem for the numerical investigation of viscoelastic flow. The mathematical model of three‐dimensional viscoelastic fluids flow is established and the numerical simulation of its planar contraction flow is conducted by using the penalty finite element method with a differential Phan‐Thien–Tanner constitutive model. The discrete elastic viscous split stress formulation in cooperating with the inconsistent streamline upwind scheme is employed to improve the computation stability. The distributions of velocity and stress obtained by simulation are compared with that of Quinzani's experimental results detected by laser–doppler velocimetry and flow‐induced birefringence technologies. It shows that the numerical results agree well with the experimental results. The numerical methods proposed in the study can be well used to predict complex flow patterns of viscoelastic fluids. Copyright © 2009 John Wiley & Sons, Ltd. |
| Keywords: | viscoelastic fluid planar contraction penalty finite element simulation |