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

• Type: Article in International Conference Proceedings Book
• Date: 2007

Authors

Alexandre M. Afonso (Author) FEUP; Manuel A. Alves (Author) FEUP; Fernando T. Pinho (Author) FEUP; Paulo J. Oliveira (Author) Other

Conference proceedings International

Title: Métodos Numéricos e Computacionais em Engenharia

Pages: 1-19

CMNE/CILAMCE 2007

Porto, 13 a 15 de Junho de 2007

Scientific classification

FOS: Engineering and technology

Other information

Abstract (EN): A finite-volume method is applied to the numerical simulation of creeping flows of viscoelastic fluids through a 4:1 square-square three dimensional abrupt contraction. The calculation of the polymer stress contribution is carried out with the log-conformation methodology [1]. The log-conformation scheme allowed converged solutions at higher Deborah numbers for the Oldroyd-B fluid than the standard method when imposing steady flow conditions, but not for the UCM model. This does not mean that the log-conformation technique is less effective for the UCM fluid, but suggests that this flow is most probably time-dependent above a critical Deborah number. In any case, this work confirms the advantages of the log-conformation approach vis-a-vis the standard procedure.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19