The steady laminar planar mixing layer flow of viscoelastic FENE-P fluids

• Type: Article in International Scientific Journal
• Date: 2022

Authors

S. Parvar (Author) Other; C. B. da Silva (Author) Other; F. T. Pinho (Author) FEUP

Journal

Title: Journal of Engineering Mathematics

Vol. 132

Initial page: 14

ISSN: 0022-0833

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 0 Citations

Other information

Authenticus ID: P-00V-XJY

DOI: 10.1007/s10665-021-10191-7

Abstract (EN): An approximate self-similar solution is proposed for the steady laminar mixing layer flow of viscoelastic fluids, described by the FENE-P constitutive equation. The solution is obtained by performing an order of magnitude analysis and ensuing simplifications of the governing equations following the procedures used in the corresponding planar boundary layer flow solution (Parvar S, Silva CB, Pinho FT, Phys Fluids 33(2):023103, 2021). The effects of Weissenberg number, maximum polymer extensibility and viscosity ratio on mixing layer, displacement, and momentum thicknesses as well as on velocity, stress, and conformation tensor profiles are investigated in detail. At low elasticity levels, the mixing layer exhibits a self-similar behavior, with the kinematic quantities collapsing on the corresponding Newtonian flow curves and the polymer characteristics exhibiting a unique behavior if adequately normalized. However, with increasing levels of elasticity not only the profiles deviate from the low elasticity levels asymptote, but they cease to collapse onto single curves, showing a dependence on local values of the relevant dimensionless numbers, i.e., the approximate similar solution becomes local. Our solution matches the corresponding Newtonian solution and compares well with the significantly costlier numerical simulations using the RheoFoam toolbox of OpenFoam open-source code.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24