Simulation of three-dimensional polymer mould filling processes using a pseudo-concentration method

G.A.A.V. Haagh, F.N. Vosse, van de

Research output: Contribution to journalArticleAcademicpeer-review

56 Citations (Scopus)

Abstract

Mould filling processes, in which a material flow front advances through a mould, are typical examplesof moving boundary problems. The moving boundary is accompanied by a moving contact line at themould walls causing, from a macroscopic modelling viewpoint, a stress singularity. In order to be able tosimulate such processes, the moving boundary and moving contact line problem must be overcome. Anumerical model for both two- and three-dimensional mould filling simulations has been developed. Itemploys a pseudo-concentration method in order to avoid elaborate three-dimensional remeshing, andhas been implemented in a finite element program. The moving contact line problem has been overcomeby employing a Robin boundary condition at the mould walls, which can be turned into a Dirichlet(no-slip)! or a Neumann (free-slip) boundary condition depending on the local pseudo-concentration.Simulation results for two-dimensional test cases demonstrate the model?s ability to deal with flowphenomena such as fountain flow and flow in bifurcations. The method is by no means limited totwo-dimensional flows, as is shown by a pilot simulation for a simple three-dimensional mould. Thereverse problem of mould filling is the displacement of a viscous fluid in a tube by a less viscous fluid,which has had considerable attention since the 1960?s. Simulation results for this problem are in goodagreement with results from the literature.
Original languageEnglish
Pages (from-to)1355-1369
JournalInternational Journal for Numerical Methods in Fluids
Volume28
Issue number9
DOIs
Publication statusPublished - 1998

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Mold Filling
Contact Line
Polymers
Three-dimensional
Moving Boundary
Viscous Fluid
Boundary conditions
Fountains
Simulation
Fluids
Stress Singularity
Moving Boundary Problem
Robin Boundary Conditions
Remeshing
Slip Boundary Condition
Slip
Dirichlet
Tube
Bifurcation
Finite Element

Cite this

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title = "Simulation of three-dimensional polymer mould filling processes using a pseudo-concentration method",
abstract = "Mould filling processes, in which a material flow front advances through a mould, are typical examplesof moving boundary problems. The moving boundary is accompanied by a moving contact line at themould walls causing, from a macroscopic modelling viewpoint, a stress singularity. In order to be able tosimulate such processes, the moving boundary and moving contact line problem must be overcome. Anumerical model for both two- and three-dimensional mould filling simulations has been developed. Itemploys a pseudo-concentration method in order to avoid elaborate three-dimensional remeshing, andhas been implemented in a finite element program. The moving contact line problem has been overcomeby employing a Robin boundary condition at the mould walls, which can be turned into a Dirichlet(no-slip)! or a Neumann (free-slip) boundary condition depending on the local pseudo-concentration.Simulation results for two-dimensional test cases demonstrate the model?s ability to deal with flowphenomena such as fountain flow and flow in bifurcations. The method is by no means limited totwo-dimensional flows, as is shown by a pilot simulation for a simple three-dimensional mould. Thereverse problem of mould filling is the displacement of a viscous fluid in a tube by a less viscous fluid,which has had considerable attention since the 1960?s. Simulation results for this problem are in goodagreement with results from the literature.",
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Simulation of three-dimensional polymer mould filling processes using a pseudo-concentration method. / Haagh, G.A.A.V.; Vosse, van de, F.N.

In: International Journal for Numerical Methods in Fluids, Vol. 28, No. 9, 1998, p. 1355-1369.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Haagh, G.A.A.V.

AU - Vosse, van de, F.N.

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AB - Mould filling processes, in which a material flow front advances through a mould, are typical examplesof moving boundary problems. The moving boundary is accompanied by a moving contact line at themould walls causing, from a macroscopic modelling viewpoint, a stress singularity. In order to be able tosimulate such processes, the moving boundary and moving contact line problem must be overcome. Anumerical model for both two- and three-dimensional mould filling simulations has been developed. Itemploys a pseudo-concentration method in order to avoid elaborate three-dimensional remeshing, andhas been implemented in a finite element program. The moving contact line problem has been overcomeby employing a Robin boundary condition at the mould walls, which can be turned into a Dirichlet(no-slip)! or a Neumann (free-slip) boundary condition depending on the local pseudo-concentration.Simulation results for two-dimensional test cases demonstrate the model?s ability to deal with flowphenomena such as fountain flow and flow in bifurcations. The method is by no means limited totwo-dimensional flows, as is shown by a pilot simulation for a simple three-dimensional mould. Thereverse problem of mould filling is the displacement of a viscous fluid in a tube by a less viscous fluid,which has had considerable attention since the 1960?s. Simulation results for this problem are in goodagreement with results from the literature.

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