Numerical simulation of non-isothermal viscoelastic fluid flows using a VMS stabilized finite element formulation
The effect of temperature in viscoelastic fluid flows is studied applying a stabilized finite element formulation based on both a standard and a log-conformation reformulation (LCR), and the Variational Multiscale (VMS) method as stabilization technique. The log-conformation reformulation turns out...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/355902 |
| Acceso en línea: | https://hdl.handle.net/2117/355902 https://dx.doi.org/10.1016/j.jnnfm.2021.104640 |
| Access Level: | acceso abierto |
| Palabra clave: | Fluid dynamics--Mathematical models Non-isothermal fluid flow Viscoelasticity Log-conformation reformulation Thermal coupling Variational sub-grid scales Dinàmica de fluids -- Càlcul numèric Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids |
| Sumario: | The effect of temperature in viscoelastic fluid flows is studied applying a stabilized finite element formulation based on both a standard and a log-conformation reformulation (LCR), and the Variational Multiscale (VMS) method as stabilization technique. The log-conformation reformulation turns out to be crucial to solve the cases with a high Weissenberg number. Regarding temperature coupling, a two-way coupling strategy is employed: on the one hand, the dependence of viscoelastic fluid parameters on temperature is established, together with the addition of a new term to the energy equation which takes into account the stress work. The formulations and the iterative algorithms are validated in the well-known flow past a cylinder benchmark. Besides, the extension 1:3 case is studied, in which several scenarios are explored varying the values of the main dimensionless numbers that characterize the problem to see how the flow pattern and temperature distribution change along the channel. |
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