Study of steady pipe and channel flows of a single-mode Phan-Thien-Tanner fluid

• 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. 101 No. 1-3

Pages: 55-76

ISSN: 0377-0257

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 61 Citations

ISI Web of Science

Scopus - 80 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-000-SXS

DOI: 10.1016/s0377-0257(01)00159-8

Abstract (EN): Analytical solutions are derived for the steady state channel and pipe flows of viscoelastic fluids obeying the complete single-mode Phan-Thien-Tanner (PTT) constitutive equation with a linear stress coefficient in the absence of a solvent viscosity contribution. The results include the profiles of all relevant stresses, the axial velocity and the viscosity across the gap. The three material functions of the single-mode PTT model in steady Couette flow are also given and it is shown that the conditions of the maximum point in the shear stress versus shear rate curve are related to the conditions for existence of steady state solutions in the channel and pipe flows. The range of model parameters for which a classical steady solution exists is established.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22