The contraction point for phan-thien/tanner model of tube-tooling wire-coating flow

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作者
Ngamaramvaranggul, V. [1 ]
Thenissara, S. [2 ]
机构
[1] Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
[2] Department of Mathematics, Faculty of Science and Liberal Arts, Rajamangala University of Technology Isan, Nakornratchasima 30000, Thailand
关键词
Coatings - Forecasting - Relaxation time - Isotherms - Mesh generation - Viscous flow - Extrusion - Tensile strength - Wire - Polymer melts - Navier Stokes equations - Computational fluid dynamics - Constitutive equations - Dies - Surface tension - Galerkin methods;
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摘要
The simulation of extrusion process is studied widely in order to both increase products and improve quality, with broad application in wire coating. The annular tube-tooling extrusion was set up by a model that is termed as Navier-Stokes equation in addition to a rheological model of differential form based on single- mode exponential Phan-Thien/Tanner constitutive equation in a two- dimensional cylindrical coordinate system for predicting the contraction point of the polymer melt beyond the die. Numerical solutions are sought through semi-implicit Taylor-Galerkin pressure- correction finite element scheme. The investigation was focused on incompressible creeping flow with long relaxation time in terms of Weissenberg numbers up to 200. The isothermal case was considered with surface tension effect on free surface in extrudate flow and no slip at die wall. The Stream Line Upwind Petrov-Galerkin has been proposed to stabilize solution. The structure of mesh after die exit was adjusted following prediction of both top and bottom free surfaces so as to keep the location of contraction point around one unit length which is close to experimental results. The simulation of extrusion process is studied widely in order to both increase products and improve quality, with broad application in wire coating. The annular tube-tooling extrusion was set up by a model that is termed as Navier-Stokes equation in addition to a rheological model of differential form based on single-mode exponential Phan- Thien/Tanner constitutive equation in a two-dimensional cylindrical coordinate system for predicting the contraction point of the polymer melt beyond the die. Numerical solutions are sought through semi- implicit Taylor-Galerkin pressure-correction finite element scheme. The investigation was focused on incompressible creeping flow with long relaxation time in terms of Weissenberg numbers up to 200. The isothermal case was considered with surface tension effect on free surface in extrudate flow and no slip at die wall. The Stream Line Upwind Petrov-Galerkin has been proposed to stabilize solution. The structure of mesh after die exit was adjusted following prediction of both top and bottom free surfaces so as to keep the location of contraction point around one unit length which is close to experimental results.
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页码:692 / 698
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