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A numerical investigation of inertia flows of Bingham-Papanastasiou fluids by an extra stress-pressure-velocity galerkin least-squares method

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A numerical investigation of inertia flows of Bingham-Papanastasiou fluids by an extra stress-pressure-velocity galerkin least-squares method

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Título A numerical investigation of inertia flows of Bingham-Papanastasiou fluids by an extra stress-pressure-velocity galerkin least-squares method
Autor Soto, Hilda Pari
Martins-Costa, Maria Laura
Fonseca, Cleiton Elsner da
Frey, Sérgio Luiz
Abstract This article is concerned with finite element approximations for yield stress fluid flows through a sudden planar expansion. The mechanical model is composed by mass and momentum balance equations, coupled with the Bingham viscoplastic model regularized by Papanastasiou (1987) equation. A multi-field Galerkin least-squares method in terms of stress, velocity and pressure is employed to approximate the flows. This method is built to circumvent compatibility conditions involving pressure-velocity and stress-velocity finite element subspaces. In addition, thanks to an appropriate design of its stability parameters, it is able to remain stable and accurate in high Bingham and Reynolds flows. Numerical simulations concerning the flow of a regularized Bingham fluid through a one-to-four sudden planar expansion are performed. For creeping flows, yield stress effects on the fluid dynamics of viscoplastic materials are investigated through the ranging of Bingham number from 0.2 to 100. In the sequence, inertia effects are accounted for ranging the Reynolds number from 0 to 50. The numerical results are able to characterize accurately the morphology of yield surfaces in high Bingham flows subjected to inertia.
Contido em Journal of the Brazilian Society of Mechanical Sciences and Engineering. Rio de Janeiro, RJ. Vol. 32, no. 5 - special issue (Dec. 2010), p. 450-460
Assunto Elementos finitos
Mecanica dos fluidos
Simulação numérica
[en] Bingham model
[en] Inertia effects
[en] Multi-field Galerkin least-squares method
[en] Papanastasiou regularization
[en] Viscoplasticity
Origem Nacional
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/75845
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