Numerical study of the square-root conformation tensor formulation for confined and free-surface viscoelastic fluid flows

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Irineu L. Palhares Junior (Author) Other; Cassio M. Oish (Author) Other; Alexandre M. Afonso (Author) FEUP; Manuel A. Alves (Author) FEUP; Fernando T. Pinho (Author) FEUP

Journal

Title: Advanced Modeling and Simulation in Engineering Sciences

Vol. 3 No. 2

Pages: 1-23

Publisher: Springer Nature

Indexing

Scopus - 5 Citations

Associated Projects

Elastic-Turbulence - Purely-elastic flow instabilities and transition to elastic turbulence in microscale flows of complex fluids

Other information

Authenticus ID: P-00S-RH6

DOI: 10.1186/s40323-015-0054-4

Abstract (EN): We present a numerical study of a stabilization method for computing confined and free-surface flows of highly elastic viscoelastic fluids. In this approach, the constitutive equation based on the conformation tensor, which is used to define the viscoelastic model, is modified introducing an evolution equation for the square-root conformation tensor. Both confined and free-surface flows are considered, using two different numerical codes. A finite volume method is used for confined flows and a finite difference code developed in the context of the marker-and-cell method is used for confined and free-surface flows. The implementation of the square-root formulation was performed in both numerical schemes and discussed in terms of its ability and efficiency to compute steady and transient viscoelastic fluid flows. The numerical results show that the square-root formulation performs efficiently in the tested benchmark problems at high-Weissenberg number flows, such as the lid-driven cavity flow, the flow around a confined cylinder, the cross-slot flow and the impacting drop free surface problem.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23