The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods

• Type: Article in International Scientific Journal
• Date: 2001

Authors

Alves, MA (Author) FEUP; Pinho, FT (Author) FEUP; Oliveira, PJ (Author) Other

Journal

Title: Journal of Non-Newtonian Fluid Mechanics

Vol. 97 No. 2

Pages: 207-232

ISSN: 0377-0257

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 102 Citations

ISI Web of Science

Scopus - 130 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

CORDIS: Technological sciences > Engineering > Mechanical engineering > Vehicle engineering

Other information

Authenticus ID: P-000-WBX

DOI: 10.1016/s0377-0257(00)00198-1

Abstract (EN): Accurate solutions are obtained with the numerical method of Oliveira et al. [J. Non-Newtonian Fluid Mech. 79 (1998) 1] for the inertialess plane flow around a confined cylinder. This numerical procedure is based on the finite-volume method in non-orthogonal block-structured meshes with a collocated arrangement of the dependent variables, and makes use of a special interpolation practice to avoid stress-velocity decoupling. Two high-resolution schemes (MINMOD and SMART) are implemented to represent the convective terms in the constitutive equations for the upper convected Maxwell and Oldroyd-B fluids, and the resulting predictions of the drag coefficient on the cylinder are shown to be as accurate as existing finite-element method predictions based on the supposedly very accurate h-p refinement technique. Numerical uncertainties are quantified with help of Richardson' s extrapolation technique and the orders of convergence of the differencing schemes are established and shown to be second-order accurate. Calculations performed with a wake-refined mesh predicted the variation of the maximum longitudinal normal stress in the wake as De(3) and De(5) depending on Deborah number.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 26