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In this work, the finite volume method is used to numerically solve the fluid governing equations of the filling phase of thermoplastic injection in a narrow gap with free surfaces, subject to heat transfer, using a semi‐Lagrangian formulation in an unstructured mesh. The modified‐Cross model with Arrhenius temperature dependence is employed to describe the viscosity of the melt. The pressure field is obtained using the control volume finite element method. The three‐dimensional temperature field is solved by a semi‐Lagrangian scheme based on the finite volume method. A simpler two‐dimensional model for temperature field is also deduced and presented.
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Estacio-Hiroms et al. (2006) studied this question.
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