Numerical Solution of the Upper-Convected Maxwell Model for Three-Dimensional Free Surface Flows

Autor(es)

Tome, Murilo F. ^[1] ; Silva, Renato A. P. ^[1] ; Oishi, Cassio A. ^[1] ; McKee, Sean ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Dept Matemat Aplicada & Estat, Sao Carlos, SP - Brazil

^[2] Univ Strathclyde, Dept Math, Glasgow, Lanark - Scotland

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN COMPUTATIONAL PHYSICS; v. 6, n. 2, p. 367-395, AUG 2009.
• Citações Web of Science: 11

Resumo

This work presents a finite difference technique for simulating three-dimensional free surface flows governed by the Upper-Convected Maxwell (UCM) constitutive equation. A Marker-and-Cell approach is employed to represent the fluid free surface and formulations for calculating the non-Newtonian stress tensor on solid boundaries are developed. The complete free surface stress conditions are employed. The momentum equation is solved by an implicit technique while the UCM constitutive equation is integrated by the explicit Euler method. The resulting equations are solved by the finite difference method on a 3D-staggered grid. By using an exact solution for fully developed flow inside a pipe, validation and convergence results are provided. Numerical results include the simulation of the transient extrudate swell and the comparison between jet buckling of UCM and Newtonian fluids. (AU)

• Processo FAPESP: 03/12612-9 - Analise e implementacao de metodos implicitos e metodos de projecao de alta ordem no sistema freeflow.
• Beneficiário: Cassio Machiaveli Oishi
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 04/16064-9 - Mecânica dos fluídos não estacionária: aplicações em aeronáutica e em reologia
• Beneficiário: José Alberto Cuminato
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 04/10988-4 - Solucao numerica do modelo de maxwell para escoamentos tridimensionais com superficies livres.
• Beneficiário: Renato Aparecido Pimentel da Silva
• Modalidade de apoio: Bolsas no Brasil - Mestrado