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Verification and validation of openInjMoldSim, an open-source solver to model the filling stage of thermoplastic injection molding

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Resumo:In the present study, the simulation of the three-dimensional (3D) non-isothermal, non-Newtonian fluid flow of polymer melts is investigated. In particular, the filling stage of thermoplastic injection molding is numerically studied with a solver implemented in the open-source computational library <inline-formula> <math display="inline"> <semantics> <mrow> <mi>O</mi> <mi>p</mi> <mi>e</mi> <mi>n</mi> <mi>F</mi> <mi>O</mi> <mi>A</mi> <msup> <mi>M</mi> <mi>®</mi> </msup> </mrow> </semantics> </math> </inline-formula>. The numerical method is based on a compressible two-phase flow model, developed following a cell-centered unstructured finite volume discretization scheme, combined with a volume-of-fluid (VOF) technique for the interface capturing. Additionally, the Cross-WLF (Williams–Landel–Ferry) model is used to characterize the rheological behavior of the polymer melts, and the modified Tait equation is used as the equation of state. To verify the numerical implementation, the code predictions are first compared with analytical solutions, for a Newtonian fluid flowing through a cylindrical channel. Subsequently, the melt filling process of a non-Newtonian fluid (Cross-WLF) in a rectangular cavity with a cylindrical insert and in a tensile test specimen are studied. The predicted melt flow front interface and fields (pressure, velocity, and temperature) contours are found to be in good agreement with the reference solutions, obtained with the proprietary software <inline-formula> <math display="inline"> <semantics> <mrow> <mi>M</mi> <mi>o</mi> <mi>l</mi> <mi>d</mi> <mi>e</mi> <mi>x</mi> <mn>3</mn> <msup> <mi>D</mi> <mi>®</mi> </msup> </mrow> </semantics> </math> </inline-formula>. Additionally, the computational effort, measured by the elapsed wall-time of the simulations, is analyzed for both the open-source and proprietary software, and both are found to be similar for the same level of accuracy, when the parallelization capabilities of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>O</mi> <mi>p</mi> <mi>e</mi> <mi>n</mi> <mi>F</mi> <mi>O</mi> <mi>A</mi> <msup> <mi>M</mi> <mi>®</mi> </msup> </mrow> </semantics> </math> </inline-formula> are employed.
Autores principais:Pedro, João
Outros Autores:Ramôa, Bruno; Nóbrega, J. M.; Fernandes, C.
Assunto:injection molding filling stage Cross-WLF model Tait model finite volume method openInjMoldSim OpenFOAM® OpenFOAM (R)
Ano:2020
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
Descrição
Resumo:In the present study, the simulation of the three-dimensional (3D) non-isothermal, non-Newtonian fluid flow of polymer melts is investigated. In particular, the filling stage of thermoplastic injection molding is numerically studied with a solver implemented in the open-source computational library <inline-formula> <math display="inline"> <semantics> <mrow> <mi>O</mi> <mi>p</mi> <mi>e</mi> <mi>n</mi> <mi>F</mi> <mi>O</mi> <mi>A</mi> <msup> <mi>M</mi> <mi>®</mi> </msup> </mrow> </semantics> </math> </inline-formula>. The numerical method is based on a compressible two-phase flow model, developed following a cell-centered unstructured finite volume discretization scheme, combined with a volume-of-fluid (VOF) technique for the interface capturing. Additionally, the Cross-WLF (Williams–Landel–Ferry) model is used to characterize the rheological behavior of the polymer melts, and the modified Tait equation is used as the equation of state. To verify the numerical implementation, the code predictions are first compared with analytical solutions, for a Newtonian fluid flowing through a cylindrical channel. Subsequently, the melt filling process of a non-Newtonian fluid (Cross-WLF) in a rectangular cavity with a cylindrical insert and in a tensile test specimen are studied. The predicted melt flow front interface and fields (pressure, velocity, and temperature) contours are found to be in good agreement with the reference solutions, obtained with the proprietary software <inline-formula> <math display="inline"> <semantics> <mrow> <mi>M</mi> <mi>o</mi> <mi>l</mi> <mi>d</mi> <mi>e</mi> <mi>x</mi> <mn>3</mn> <msup> <mi>D</mi> <mi>®</mi> </msup> </mrow> </semantics> </math> </inline-formula>. Additionally, the computational effort, measured by the elapsed wall-time of the simulations, is analyzed for both the open-source and proprietary software, and both are found to be similar for the same level of accuracy, when the parallelization capabilities of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>O</mi> <mi>p</mi> <mi>e</mi> <mi>n</mi> <mi>F</mi> <mi>O</mi> <mi>A</mi> <msup> <mi>M</mi> <mi>®</mi> </msup> </mrow> </semantics> </math> </inline-formula> are employed.