Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions

• Type: Article in International Scientific Journal
• Date: 2003

Authors

Manuel Moreira Alves (Author) FEUP; P. J. Oliveira (Author) Other; Fernando Tavares de Pinho (Author) FEUP

Journal

Title: Journal of Non-Newtonian Fluid Mechanics

Vol. 110 No. 1

Pages: 45-75

ISSN: 0377-0257

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 147 Citations

ISI Web of Science

Scopus - 172 Citations

COMPENDEX

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-000-HQW

DOI: 10.1016/s0377-0257(02)00191-x

Abstract (EN): The paper presents very accurate numerical results for the vortex size, the vortex intensity and the Couette correction, in planar contraction flows of Oldroyd-B and PTT fluids (epsilon = 0.25) with both the linear and the exponential stress function, and with a solvent viscosity ratio equal to 1/9. The accuracy of these results is quantified, being generally below 1% (0.3% for most results), and the finest mesh employed had over I million degrees of freedom. Such degree of mesh fineness is shown to be required for accurate results with the Oldroyd-B fluid, especially at high Deborah numbers, but the shear-thinning PTT fluid in general does not require the finest meshes. In terms of level of elasticity, steady results for the PTT fluid could be obtained for values of the Deborah number in excess of 100 (linear PTT) and 10,000 (exponential PTT).

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 31