MULTI-FIELD STABILIZED FINITE ELEMENT APPROXIMATIONS FOR OLDROYD-B FLUID FLOWS

Authors

  • D. D. dos Santos Universidade Federal do Rio Grande do Sul
  • S. Frey Universidade Federal do Rio Grande do Sul
  • M. F. Naccache Pontifícia Universidade Católica do Rio de Janeiro
  • P. R. de Souza Mendes Pontifícia Universidade Católica do Rio de Janeiro

DOI:

https://doi.org/10.5380/reterm.v12i1.62031

Keywords:

Oldroyd-B model, Galerkin Least-Squares method, flow over a slot, viscoelastic inertial flows

Abstract

This work concerns with numerical simulations of creeping and inertial flows of viscoelastic fluids. The mechanical model consists of mass and momentum balance equations, coupled with the Oldroyd-B fluid. The model is approximated by a multi-field Galerkin least-squares (GLS) methodology in terms of extra-stress, velocity and pressure. The GLS method, introduced by Hughes et al. (1986) in the context of the Stokes problem for Newtonian fluid
flows, allows the use of combinations of equal-order finite element interpolations and remains stable even for elastic- and inertiadominated fluid flows. Some steady simulations of Oldroyd-B fluids, flowing over a slot, are herein carried out. The influence of inertia and fluid viscoelasticity is taken into account ranging the Reynolds and Weissenberg numbers for relevant values of this flow. The results are in accordance to the viscoelastic literature and reassure the fine stability features of the GLS formulation.

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Published

2013-06-30

How to Cite

dos Santos, D. D., Frey, S., Naccache, M. F., & Mendes, P. R. de S. (2013). MULTI-FIELD STABILIZED FINITE ELEMENT APPROXIMATIONS FOR OLDROYD-B FLUID FLOWS. Revista De Engenharia Térmica, 12(1), 61–66. https://doi.org/10.5380/reterm.v12i1.62031

Issue

Vol. 12 No. 1 (2013)

Section

Ciência/Science

License

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