A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

M. F. Tomé (Autor) Outra; J. Bertoco (Autor) Outra; C. M. Oishi (Autor) Outra; M. S. B. Araújo (Autor) Outra; D. Cruz (Autor) Outra; F. T. Pinho (Autor) FEUP; M. Vynnycky (Autor) Outra

Revista

Título: Journal of Computational Physics

Vol. 311

Páginas: 114-141

ISSN: 0021-9991

Editora: Elsevier

Indexação

ISI Web of Knowledge - 9 Citações

ISI Web of Science

Scopus - 17 Citações

INSPEC

Outras Informações

ID Authenticus: P-00K-4T2

DOI: 10.1016/j.jcp.2016.01.032

Abstract (EN): This work is concerned with the numerical solution of the K-BKZ integral constitutive equation for two-dimensional time-dependent free surface flows. The numerical method proposed herein is a finite difference technique for simulating flows possessing moving surfaces that can interact with solid walls. The main characteristics of the methodology employed are: the momentum and mass conservation equations are solved by an implicit method; the pressure boundary condition on the free surface is implicitly coupled with the Poisson equation for obtaining the pressure field from mass conservation; a novel scheme for defining the past times t' is employed; the Finger tensor is calculated by the deformation fields method and is advanced in time by a second-order Runge-Kutta method. This new technique is verified by solving shear and uniaxial elongational flows. Furthermore, an analytic solution for fully developed channel flow is obtained that is employed in the verification and assessment of convergence with mesh refinement of the numerical solution. For free surface flows, the assessment of convergence with mesh refinement relies on a jet impinging on a rigid surface and a comparison of the simulation of a extrudate swell problem studied by Mitsoulis (2010) [44] was performed. Finally, the new code is used to investigate in detail the jet buckling phenomenon of K-BKZ fluids.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 28