Numerical Simulation of Three-Dimensional Free Surface Flows Using the K-BKZ-PSM Integral Constitutive Equation

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Bertoco, J (Autor) Outra; Castelo, A (Autor) Outra; Ferras, LL (Autor) FEUP; Fernandes, C (Autor) FEUP

Revista

Título: Polymers

Vol. 15

Página Final: 3705

Editora: MDPI

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-00Z-20R

DOI: 10.3390/polym15183705

Abstract (EN): This work introduces a novel numerical method designed to address three-dimensional unsteady free surface flows incorporating integral viscoelastic constitutive equations, specifically the K-BKZ-PSM (Kaye-Bernstein, Kearsley, Zapas-Papanastasiou, Scriven, Macosko) model. The new proposed methodology employs a second-order finite difference approach along with the deformation fields method to solve the integral constitutive equation and the marker particle method (known as marker-and-cell) to accurately capture the evolution of the fluid's free surface. The newly developed numerical method has proven its effectiveness in handling complex fluid flow scenarios, including confined flows and extrudate swell simulations of Boger fluids. Furthermore, a new semi-analytical solution for velocity and stress fields is derived, considering fully developed flows of a K-BKZ-PSM fluid in a pipe.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19