K. Matsunaga et al., APPROXIMATE SIMULATION METHOD ON THE 3-DIMENSIONAL POLYMER MELTS FLOWIN A DIE, International polymer processing, 10(1), 1995, pp. 46-54
Two kinds of practical approximate simulation methods for three-dimens
ional viscoelastic flow in a die have been developed by which solution
s at high shear rate can be obtained with low memory capacity and CPU
time. The velocity and stress fields were calculated separately. The v
elocity field was obtained using the pure-viscous non-Newtonian model
and the stress field using the viscoelastic model by substituting this
velocity field. In one case the White-Metzner model was applied as a
viscoelastic model without a square term in stress. In the second case
the stress field was calculated by the streamwise integration which c
ould apply even to the viscoelastic model including the square of stre
ss. In addition a modified pure-viscous non-Newtonian model has been d
eveloped respresenting the strain-thickening elongational viscosity in
order to extend these approximate methods to similar materials. The v
elocity field which was calculated using a modified pure-viscous non-N
ewtonian model was considerably closer to that for the viscoelastic mo
del with the same flow characteristics as shown for the original pure-
viscous non-Newtonian model.