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The injection molding of thermoplastics part I: Theoretical model
Author(s) -
Kamal M. R.,
Kenig S.
Publication year - 1972
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760120408
Subject(s) - materials science , molding (decorative) , mechanics , yield (engineering) , flow (mathematics) , viscosity , latent heat , coupling (piping) , newtonian fluid , composite material , thermal , melt flow index , thermodynamics , polymer , copolymer , physics
A mathematical model is proposed for the quantitative treatment of the injection molding of thermoplastics as it relates to the behavior of polymer in the cavity. The model is based on setting up the equations of continuity, motion, and energy for the system during each of the stages of the injection molding cycle (filling, packing and cooling) and the coupling of these equations with practical boundary conditions. The treatment takes into consideration the non‐Newtonian behavior of the melt, the effect of temperature on density and viscosity, the latent heat of solidification, and the differences in thermal properties between the solid and the melt. In employing the model, it is necessary to know the pressure‐time variation at the cavity entrance. Numerical solutions have been obtained for the case of spreading radial flow in a semi‐circular cavity. The numerical results yield significant data on the progression of the melt front, the flow rate, and the velocity profiles at different times and positions in the cavity. They also yield temperature and pressure profiles throughout the packing and cooling stages.