Numerical simulation for 3D flow in injection molding
  Revised:December 19, 2003
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DOI:10.7511/jslx20056154
KeyWord:three-dimensional flow,Galerkin method,iteration,injection molding
CAO Wei  WANG Rui  SHEN Chang-yu~*
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Abstract:
      The governing equations are established for the viscous,incompressible,non-Newtonian fluid under non-isothermal conditions.In order to avoid the simultaneous determination of the coupled velocity and pressure,this paper deduces a Poisson-like equation about pressure by modifying the variational formulation and solves the components independently at any given time step.The iterative procedure is employed both for velocity-pressure and velocity-viscosity solutions of the coupled equations.Traditional Galerkin method may brings oscillations of temperature solution when directly applied to energy equation.A mixed implicit and up-wind approach is proposed to discrete the energy equation.The over relax iteration is employed to get the solution of the discreted algebraic liner equations.The proposed 3D technique is validated with analytic solutions of isothermal flow in pipe and also agreeable with the experimental results of flange filling.It can successfully predict the flow features in injection molding.The approach used in this paper can reduce memory needs in simulation,enhance the stability of numerical scheme compared with conventional Galerkin method.