## Application of the boundary integral method to the nonisothermal flow of a polymeric fluid advancing in a thin cavity of arbitrary shape |

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### Contents

FORMULATION OF THE FILLING PROBLEM | 5 |

BIM FORUMULATION AS POISSON EQUATION SOLVER | 23 |

SIMULATION OF THE FILLING PROCESS | 30 |

4 other sections not shown

### Common terms and phrases

AIAA analytic solution BIM formulation boundary condition Boundary Element Method Boundary Integral Equation Boundary Integral Method boundary layer thickness calculated cavity filling simulation center-gate disk computational conduction term constant continuity equation convective Cornell University Cruse derivative dissipation term domain integral end-gate disk end-gate strip evaluated FEM/FDM filling process Finite Element Method forcing function governing equation injection molding input data integral energy equation Integral Equation Method internal elements isothermal Newtonian iteration scheme J. A. Liggett Laplace equation matrix coefficients Mech melt front advancement Melt front position mold cavity molding process momentum equation Non-Newtonian Fluid nonisothermal effect nonisothermal power-law fluid original energy equation Poisson equation Potential Flow pressure equation pressure field pressure gradient Schematic diagram second order shear thinning shown in Fig solved step in center-gate temperature profile thermal boundary layer Three-Dimensional Transonic upwind velocity field vertex node volume flow rate Water Resources Res