Numerical Predictions of Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom Model

Abstract

In this study prediction of the steady-state flow of branched polymer melts in pipe geometry with finite volume method is presented. The fluid is modelled using a modification of the Pom-Pom model known as the single eXtended Pom-Pom (XPP) where viscoelastic fluid, is typically a commercial low-density polyethylene. In finite volume method, the operator-integration is used to discretize the governing equations in space or control volume. An iterative solution algorithm that decouples the computation of momentum from that of stress is used to solve the discrete equations. Numerical results are presented; include the profiles of all relevant stresses, the axial velocity, stretch and the viscosity across the gap, demonstrating the performance of the model predictions. The influence of the model parameters on the solution and flow behaviour is described and, in particular, the dependence of velocity and stresses distribution as a function of Weissenberg number is analyzed. Finally, for rectitude and accuracy, the verification of this model is performed with the Gieskus model that shows good conformity between the results.

Three-dimensional transient complex free surface flows: Numerical simulation of XPP fluid

“…Using a finite element method, the authors investigated the polymer flow in a contraction geometry, and compared the numerical predictions with experimental results. Dressler and Edwards [24] analysed the flow of a Pom-Pom fluid in a tube while Khorsand et al [25] developed a finite volume method to investigate the single-equation XPP fluid flow in a pipe. More recently, Tenchev et al [26] investigated the 3-D flow of a XPP fluid past a cylinder and in a contraction geometry using the finite element method.…”

Estudos de métodos numéricos para a simulação de escoamentos viscoelásticos com superfície livre

“…Usando um método de elementos finitos, os autores estudaram o fluxo do polímero em uma contração, além de uma comparação dos resultados numéricos com resultados experimentais. Dressler and Edwards (2006) analisaram o modelo Pom-Pom em um tubo, enquanto Khorsand et al (2011) introduziram um método de volumes finitos para investigar a equação do modelo SXPP em um tubo. Mais recentemente, Tenchev et al (2011) mostrou alguns resultados em três dimensões de um escoamento ao redor de um cilindro e em uma contração.…”