Viscoelastic Simulations of Stick-Slip and Die-Swell Flows

Summary : Numerical solution of viscoelastic flows are demonstrated for a time merching, semi-implicit Taylor-Galerkin/pressure-correction algorithm. Steady solution are sought for free boundary problem involing combinations of die-swell and stick-slip conditions. Flows with and without drag flow may be analysed effectively. The influence of die-swell is considered that has application to various industrial processes, such as wire coating. Solution for two-dimensional axisymmetric flows with an Oldroyd-B model are presented that compare favourably with the literature. The study advances our pior fixed domain formulation with this algorithm, into the realm of free -surface viscoelastic flows. The work involves streamline-upwind/Petrol-Galerkin weighting and velocity gradient recovery techniques that are applied upon the constitutive equation. Free surface solution reprojection and a new pressure-drop/mass balance scheme are proposed.