K. Sagae et al., NUMERICAL-ANALYSIS FOR POLYMER MELT FLOW IN INJECTION-MOLDING, JSME international journal. Series B, fluids and thermal engineering, 37(3), 1994, pp. 531-537
A numerical method using a finite element approach is proposed to anal
yze the unsteady three-dimensional flow of power-law fluids with movin
g free surfaces. Based on the fractional step method and Rational Rung
e-Kutta(RRK) method for mass and momentum equations, this method is a
semi-explicit scheme with unconditional numerical stability for pseudo
plastic fluids. The transfer equation for the volume fraction of molte
n polymer is solved to calculate the moving free surface. The energy e
quation is divided into the transfer and diffusion equations. These eq
uations are solved by a modified characteristic curve method and the R
RK method, respectively. The calculation results are obtained by the p
resent method for two box-shaped cavity flows. These are compared with
the experimental results using a short-shot injection technique. Expe
rimental and computational findings agree within 5% regarding location
of the meltfronts.