Mesoscopic Rhelogical Model for Polymeric Media Flows

2nd International Conference on Rheology and Modeling of Materials

Koshelev, K.^1 ; Kuznetcov, A.^1 ; Merzlikina, D.^1 ; Pyshnograi, G.^1 ; Pyshnograi, I.^1 ; Tolstykh, M.Y.^1

Department of Mathematical Analysis and Applyed Mathematics, Altai State Pedagogical University, Barnaul, Russia Institute for Water and Environmental Problems, Barnaul, Russia Department of Mathematics, Altai State Technical University, Barnaul, Russia^1

关键词: Control volume methods;    Hydrodynamic properties;    Mathematical descriptions;    Non-linear viscoelastic fluid;    Numerical implementation;    Parallel com- puting;    Plane-parallel channel;    Three-dimensional flow;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/790/1/012014/pdf
DOI  :  10.1088/1742-6596/790/1/012014

来源: IOP

【 摘 要 】

The paper compares hydrodynamic properties of three-dimensional flows of polymer melts. A modified Vinogradov and Pokrovskii rheological model is used for the mathematical description of nonlinear viscoelastic fluid flows in a planeparallel channel with a sudden convergence. Discrete analogs for partial differential equations were obtained via the control volume method separating physical processes. The numerical implementation is carried out using the GPU-based parallel computing technology. Velocity and pressure fields have been calculated for two samples of polyethylene melts and the circulating flow at the entrance of the slit channel is noticeable. It is shown that the size of the vortex zone depends significantly on melt rheology.