Simulation of polymeric flows in the injection moulding process. (English) Zbl 0591.76003
The present paper is based on previous considerations of C. A. Hieber and the author [J. Non-Newtonian Fluid Mech. 7, 1-32, (1980; Zbl 0424.76005)]. The following two problems are solved in a numerical way: 1) the filling of a cooled thin cavity of arbitrary plan form; 2) the viscoelastic flow near a juncture, i.e. the region where any sudden change of the cross-section of an internal flow occurs. In the first problem, the fluid is described by a power-law model with exponential temperature dependence. Under the Hele-Shaw approximation of the flow considered, the finite-element treatment of the pressure is replaced by a boundary-integral formulation, and an energy-integral approach is used for the transient temperature. In the second problem, the constitutive Leonov model is applied to the region of large strain rates. The main features of the numerical approach are integration along a streamline to determine the elastic deformations and finite-element treatment of the pressure and other field distributions. The examples solved numerically for nominal Deborah numbers of order 100 (Weissenberg numbers about 10) show no instabilities. It is claimed that the results obtained correlate very well with experimental birefringence measurements.
Reviewer: S.Zahorski
Keywords:
filling of a cooled thin cavity of arbitrary plan form; viscoelastic flow near a juncture; sudden change of the cross-section; internal flow; power-law model with exponential temperature dependence; Hele-Shaw approximation; finite-element treatment; boundary-integral formulation; energy-integral approach; transient temperature; constitutive Leonov model; region of large strain rates; elastic deformations; birefringence measurementsCitations:
Zbl 0424.76005References:
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