An analysis is carried out on the wave formed during the slow phase of die
casting injection processes. Viscous effects are assumed to be negligible a
nd the problem is treated two-dimensionally using finite amplitude wave the
ory. Two commonly used types of plunger movements are considered, for which
all the possible wave profiles are analyzed in depth as a function of the
parameters which characterize the law of acceleration applied to the plunge
r, the initial shot sleeve filling fraction, and the geometrical characteri
stics of the problem. Different relationships between the relevant dimensio
nless parameters of the system are proposed, which make it possible to opti
mize the injection process, and so reduce the entrapment of air which leads
to porosity. The validity of such relationships is analyzed in detail for
different ranges of parameters. Some of the results obtained for the optimu
m acceleration are compared with those of other authors and experimental me
asurements. Finally, a law of plunger acceleration which would completely e
liminate the air from the shot sleeve at the end of the slow phase of injec
tion and minimizes the filling time is derived. [S0098-2202(00)02002-2].