Modelling and Simulation in Materials Science and Engineering · 2011 · 16 citations · 20 references
EngineeringManufacturing EngineeringMechanical EngineeringFinite Element AnalysisFinite Element MethodsFluid DynamicsFinite Element FormulationInjection MoldingMelt RheologyRheological ModelingSolid Mechanics ApplicationsViscoelastic PropertiesFinite Difference SimulationMelt Flow BehaviorMicro-injection MoldingNumerical Flow SimulationRheological BehaviorRheological PropertiesSlip Boundary ConditionsViscoelastic Rheology
Unsteady viscoelastic flows were studied using the finite element method in this work. The Phan-Thien–Tanner (PTT) model was used to represent the rheological behavior of viscoelastic fluids. To effectively describe the microscale effects, the slip boundary condition and surface tension were added to the mathematical model for melt flow in micro-injection molding. The new variational equation of pressure, including the viscoelastic parameters and slip boundary condition, was generalized using integration by parts. A computer code based on the finite element method and finite difference method was developed to solve the melt flow problem. Numerical simulation revealed that the melt viscoelasticity plays an important role in the prediction of melt pressure, temperature at the gate and the succeeding melt front advancement in the cavity. Using the viscoelastic model one can also control the rapid increase in simulated pressure, temperature, and reduce the filling difference among different cavities. The short shot experiments of micro-motor shaft showed that the predicted melt front from the viscoelastic model is in fair agreement with the corresponding experimental results.
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