Elementos finitos mixtos estabilizados para flujos confinados de Bingham y de Herschel-Bulkley. Parte I: Formulación
Visualitza/Obre
10.1016/j.rimni.2015.02.004
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/87613
Càtedra / Departament / Institut
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
Tipus de documentArticle
Data publicació2016-04
EditorUniversitat Politècnica de Catalunya. CIMNE
Condicions d'accésAccés obert
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Abstract
This work presents a methodology for the solution of the Navier-Stokes equations for Bingham and Herschel-Bulkley viscoplastic fluids using stabilized mixed velocity/pressure finite elements. The theoretical formulation is developed and implemented in a computer code.; Viscoplastic fluids are characterized by a minimum shear stress called yield stress. Above this yield stress, the fluid is able to flow. Below this yield stress, the fluid behaves as a quasi-rigid body, with zero strain-rate.; First, the Navier-Stokes equations for incompressible fluid are presented. A review of the viscoplastic rheological models is included, with a detailed description of these models. The regularized viscoplastic models due to Papanastasiou are described. Double viscosity regularized models are proposed as an alternative to the models commonly used.; The discrete model is developed, and the Algebraic SubGrid Scale (ASGS) stabilization method, the Orthogonal Subgrid Scale (OSS) method and the split orthogonal subscales method are introduced.; The methodology proposed in this work provides a computational tool to study confined viscoplastic flows, common in industry.
CitacióMoreno, E., Cervera, M. Elementos finitos mixtos estabilizados para flujos confinados de Bingham y de Herschel-Bulkley. Parte I: Formulación. "Revista internacional de métodos numéricos para cálculo y diseño en ingeniería", Abril 2016, vol. 32, núm. 2, p. 100-109.
ISSN0213-1315
1886-158X
1886-158X
Versió de l'editorhttp://www.sciencedirect.com/science/article/pii/S021313151500022X
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