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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

S. Parvar (Autor) Outra; C. B. da Silva (Autor) Outra; F. T. Pinho (Autor) FEUP

Revista

Título: Journal of Engineering Mathematics

Vol. 132

Página Inicial: 14

ISSN: 0022-0833

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 0 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 24