Transition from a free surface flow to pressurized flow through hydraulic jump appears in several situations, which include the die casting cold chamber process, flow in sewer systems after a large rain storm, turbine tailraces, and in power plants during pipe failure. The study presented here is general, but with special interest in the application to a 10 billion die casting industry. One of the main problems in die casting is the product integrity due to porosity. Experiments have shown that there is a critical plunger velocity for which less air is entrained and thus the porosity is reduced. Earlier researchers approached this problem assuming that the energy is conserved. A comparison between the “energy conservation” model and the available experimental data presented here demonstrates that the energy is dissi-pated. Consequently, “the energy conservation” model under estimates the plunger velocity required for avoiding air entrainment. A model based on momentum conservation has been established, which is shown to be in a reasonable agreement with the limited available experimental data. Critical plunger velocity, Die casting operating parameters, Turbulence, Jump conditions, Shot Sleeve.
[1]
Subhash C. Jain,et al.
Open-Channel Flow
,
2000
.
[2]
E. R. G. Eckert,et al.
Air venting in pressure die casting
,
1997
.
[3]
E. R. G. Eckert,et al.
Pressure Die Casting: A Model of Vacuum Pumping
,
1996
.
[4]
G. Bar-Meir.
Analysis of Mass Transfer Process in the Pore Free Technique
,
1995
.
[5]
Yiftah Karni,et al.
Selection of process variables for die casting
,
1991
.
[6]
E. R. G. Eckert,et al.
Similarity Analysis Applied to the Die Casting Process
,
1989
.
[7]
Ib A. Svendsen,et al.
Turbulent bores and hydraulic jumps
,
1983,
Journal of Fluid Mechanics.
[8]
Arnold Neumaier,et al.
Mathematical Modeling of the Dynamics of Macroscopic Structural Transformations in Self-Propagating High-Temperature Synthesis
,
2004
.
[9]
Neima Brauner,et al.
ANALYTICAL SOLUTION FOR LAMINAR-LAMINAR TWO-PHASE STRATIFIED FLOW IN CIRCULAR CONDUITS
,
1996
.
[10]
Charles C. S. Song,et al.
Mathematical-modeling of unsteady-flow in storm sewers
,
1988
.
[11]
Boris A. Bakhmeteff,et al.
The Hydraulic Jump In Terms of Dynamic Similarity
,
1935
.