Application of the log-conformation tensor to three-dimensional time-dependent free surface flows

• Type: Article in International Scientific Journal
• Date: 2012

Authors

M. F. Tomé (Author) Other; A. Castelo (Author) Other; A. M. Afonso (Author) FEUP; M. A. Alves (Author) FEUP; F. T. Pinho (Author) FEUP

Journal

Title: Journal of Non-Newtonian Fluid Mechanics

Vol. 175

Pages: 44-54

ISSN: 0377-0257

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 16 Citations

ISI Web of Science

Scopus - 22 Citations

INSPEC

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-002-ABB

DOI: 10.1016/j.jnnfm.2012.03.009

Abstract (EN): The numerical simulation of flows of highly elastic fluids has been the subject of intense research over the past decades with important industrial applications. Therefore, many efforts have been made to improve the convergence capabilities of the numerical methods employed to simulate viscoelastic fluid flows. An important contribution for the solution of the High-Weissenberg Number Problem has been presented by Fattal and Kupferman [J. Non-Newton. Fluid. Mech. 123 (2004) 281-285] who developed the matrix-logarithm of the conformation tensor technique, henceforth called log-conformation tensor. Its advantage is a better approximation of the large growth of the stress tensor that occur in some regions of the flow and it is doubly beneficial in that it ensures physically correct stress fields, allowing converged computations at high Weissenberg number flows. In this work we investigate the application of the log-conformation tensor to three-dimensional unsteady free surface flows. The log-conformation tensor formulation was applied to solve the Upper-Convected Maxwell (UCM) constitutive equation while the momentum equation was solved using a finite difference Marker-and-Cell type method. The resulting developed code is validated by comparing the log-conformation results with the analytic solution for fully developed pipe flows. To illustrate the stability of the log-conformation tensor approach in solving three-dimensional free surface flows, results from the simulation of the extrudate swell and jet buckling phenomena of UCM fluids at high Weissenberg numbers are presented.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11