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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

Tome, Murilo F. [1] ; Silva, Renato A. P. [1] ; Oishi, Cassio A. [1] ; McKee, Sean [2]
Total Authors: 4
[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Dept Matemat Aplicada & Estat, Sao Carlos, SP - Brazil
[2] Univ Strathclyde, Dept Math, Glasgow, Lanark - Scotland
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN COMPUTATIONAL PHYSICS; v. 6, n. 2, p. 367-395, AUG 2009.
Web of Science Citations: 11

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)

FAPESP's process: 04/16064-9 - Mechanics of non-stationary fluids: applications in aeronautics and rheology
Grantee:José Alberto Cuminato
Support type: Research Projects - Thematic Grants