Numerical simulation of three-dimensional viscoelastic planar contraction flow using the software OpenFOAM |
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| Affiliation: | 1. School of Engineering, University of Liverpool, Brownlow Street, Liverpool L69 3GH, UK;2. The Procter & Gamble Co., TSDC 2N-09B, 5280 Vine Street, Cincinnati, OH 45217, USA;3. James Weir Fluids Laboratory, Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, UK;4. Centro de Estudos de Fenómenos de Transporte, Departamento de Engenharia Química, Faculdade de Engenharia da Universidade do Porto, Porto 4200-465, Portugal;1. Department of Mechanical Engineering, University of Washington, WA 98195, USA;2. Micro/Bio/Nanofluidics Unit, Okinawa Institute of Science and Technology, Okinawa, Japan 904-0495;1. Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom;2. Departamento de Matemática e Computação, Faculdade de Ciências e Tecnologia, Universidade Estadual Paulista “Júlio de Mesquita Filho” 19060-900 Presidente Prudente, Sao Paulo, Brazil |
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| Abstract: | In this study, we have used a highly accurate and novel approach to solve numerically for true three-dimensional (3D) viscoelastic flows into sudden contractions. Motivation for this development has been for the advancement of 3D viscoelastic flows in complex geometries, where this new methodology is available as a general solver, written for the open source code OpenFOAM (Weller et al., 1998). The proposed approach is able to include the multiple relaxation times of differential constitutive equations, and has been performed using the Finite Volume Method (FVM), based on a Discrete Elastic Viscous Split Stress (DEVSS) technique (Fortin et al., 1997). In this work, both the Giesekus and Phan-Thien–Tanner (PTT) shear-thinning models were implemented to reproduce flow through a planar 4:1 contraction, where numerical convergence was achieved for a Weissenberg number (We) of 2.9. Direct comparison with experimental data and literature involving 2D and 3D numerical simulations shows this method to be both stable and effective. |
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