Modeling of the three-dimensional flow of polymer melt in a convergent channel of rectangular cross-section

Abstract

The modified rheological Vinogradov-Pokrovskii model is applied to solve the problem of the mathematical modeling of three-dimensional flow of a nonlinear viscoelastic fluid in a plane-parallel channel with an abrupt constriction. The discrete counterparts of the governing equations are obtained using the control volume method with the splitting in physical processes, while the numerical realization employs graphical processing units on the basis of the CUDA technology of parallel computations. The velocity and stress fields are calculated for two polyethylene specimens and the presence of circulation flow in the vicinity of the slot channel entry is noticed. The vortex dimensions considerably depend on the rheological parameters of the melt.