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Numerical approximations for flow of viscoplastic fluids in a lid-driven cavity |
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| Authors: | Daniel Dall’Onder dos Santos Sérgio Frey Mônica F. Naccache P.R. de Souza Mendes |
| Affiliation: | 1. Laboratory of Applied and Computational Fluid Mechanics (LAMAC), Department of Mechanical Engineering, Federal University of Rio Grande do Sul (UFRGS), Rua Sarmento Leite 425, 90050-170 Porto Alegre, RS, Brazil;2. Department of Mechanical Engineering, Pontif?´cia Universidade Católica do Rio de Janeiro (PUC-Rio), Rua Marquês de São Vicente 225, 22453-900 Rio de Janeiro, RJ, Brazil;1. Toshiba Corporation, Power Systems Company, 4-1 Ukishima-cho, Kawasaki-ku, Kawasaki 210-0862, Japan;2. Osaka University, Division of Sustainable Energy and Environmental Engineering, 2-1 Yamada-oka, Suita-shi, Osaka 565-0871, Japan;3. Japan Atomic Energy Agency, Tokai-mura, Naka-gun, Ibaraki-ken 319-1195, Japan;1. Oak Ridge National Laboratory, United States;2. The University of Tennessee, United States |
| Abstract: | The effect of inertia and rheology parameters on the flow of viscoplastic fluids inside a lid-driven cavity is investigated using a stabilized finite element approximation. The viscoplastic material behavior is described by the model introduced by de Souza Mendes and Dutra [30] – herein called SMD fluid – which is essentially a regularized viscosity function that involves only rheological properties of the material. The incompressible balance equations are coupled with the non-linear SMD model and are approximated by a multi-field Galerkin least-squares method in terms of extra-stress, pressure and velocity. The results obtained confirm the stability features of the multi-field formulation and the appropriateness of the rheological stress regularization introduced by the SMD fluid. The influence of inertia and rheological parameters on the morphology of the material yield surfaces is analyzed and discussed. |
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