NEW FORMULATION FOR STRESS CALCULATION: APPLICATION TO VISCOELASTIC FLOW IN A T-JUNCTION

• Type: Article in International Scientific Journal
• Date: 2009

Authors

Matos, HM (Author) Other; Alves, MA (Author) FEUP; Oliveira, PJ (Author) Other

Journal

Title: Numerical Heat Transfer, Part B: Fundamentals

Vol. 56 No. 5

Pages: 351-371

ISSN: 1040-7790

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 16 Citations

ISI Web of Science

Scopus - 18 Citations

INSPEC

COMPENDEX

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-003-RGT

DOI: 10.1080/10407790903507972

Abstract (EN): In this study, a new formulation is proposed for the calculation of stress components at control-volume faces, within the context of cell-centered finite-volume methods which have the stress tensor as one of the main dependent variables. Test case results from calculations with viscoelastic fluids flowing through a T-junction demonstrate the merits of the method. Previous formulations for stress interpolation yielded results that would depend on the time-step value employed, even when calculating steady-state problems. We have removed this inconsistency by devising an improved method that gives results independent of the time step and that in addition is more robust, with a wider range of allowable Deborah numbers. A FENE-CR constitutive model is used to replicate the known viscoelastic nature of blood, and results are given for varying fluid elasticities, at values of Reynolds number and extraction ratio typical of hemodynamic applications.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21