SUMMARYNumerical solutions of viscoelastic flows are demonstrated for a time marching, semi-implicit TaylorGalerkin/pressure-correction algorithm. Steady solutions are sought for free boundary problems involving combinations of die-swell and stick-slip conditions. Flows with and without drag flow are investigated comparatively, so that the influence of the additional component of the drag flow may be analysed effectively. The influence of die-swell is considered that has application to various industrial processes, such as wire coating. Solutions for two-dimensional axisymmetric flows with an Oldroyd-B model are presented that compare favourably with the literature. The study advances our prior fixed domain formulation with this algorithm, into the realm of free-surface viscoelastic flows. The work involves streamline-upwind/Petrov -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.
A semi-implicit Taylor Galerkin/pressure-correction finite element scheme (STGFEM) is developed for problems that manifest free surfaces associated with the incompressible creeping flow of Newtonian fluids. Such problems include stick-slip and die-swell flows, both with and without a superimposed drag flow, and for plane, axisymmetric and annular systems. The numerical solutions are compared with available analytical and numerical solutions, both in the neighbourhood of singularities and elsewhere. Close correspondence in accuracy is extracted to the literature for both stick-slip and die-swell flows. Stick-slip flow is used as a precursor study to the more complex free surface calculations involved for die-swell in extrudate flow. Two different free surface techniques are reported and results are analysed with mesh refinement and varying structure.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.