Steady state thermal model for the hot chamber injection system in the pressure die casting process

Abstract This paper describes a three-dimensional numerical model that is used to predict the steady state thermal behaviour of the metal injection system of a hot chamber pressure die casting machine. The behaviour of the injection system is considered in conjunction with that of the die. The boundary element method (BEM) is employed, as surface temperatures are of primary importance. The model yields time-averaged injection system and die temperatures and the heat input from localised heating arrangements (injection system). This is valuable information that can be used in the optimisation of the process. The die model utilised is based on that presented by Davey and Hinduja (Int. J. Numer. Methods Eng. 30 (1990) 1275–1299). A number of novel techniques that improve the efficiency and performance of this model are presented. An efficient scheme is presented for modelling the flow of heat through the melt. A procedure is developed to account for the thermal effects of flow in the nozzle, gate and runner regions. An iterative procedure is developed that enables the average amount of energy supplied per cycle by the heater band, to be calculated. The coupled injection system–die model is verified using thermal data obtained from experimental work. The predicted and the measured temperatures are shown to be in good agreement. Based on the numerical predictions and the experimental data obtained, recommendations are made for improving the thermal behaviour of the existing hot chamber injection system and the die used in the experimental tests.

[1]  R. A. Markley,et al.  Thermal analysis of liquid--metal fast breeder reactors , 1978 .

[2]  P. K. Banerjee The Boundary Element Methods in Engineering , 1994 .

[3]  K. Davey,et al.  AN ITERATIVE SOLUTION SCHEME FOR SYSTEMS OF WEAKLY CONNECTED BOUNDARY ELEMENT EQUATIONS , 1996 .

[4]  Direct and indirect boundary element methods for solving the heat conduction problem , 1985 .

[5]  S. Churchill,et al.  Correlating equations for laminar and turbulent free convection from a vertical plate , 1975 .

[6]  Arthur Charles Street,et al.  The Diecasting Book , 1977 .

[7]  C. Brebbia 3 – Higher-Order Elements , 1980 .

[8]  R. A. Seban,et al.  Heat Transfer to a Fluid Flowing Turbulently in a Smooth Pipe With Walls at Constant Temperature , 1949, Journal of Fluids Engineering.

[9]  Keith Davey,et al.  Modelling the pressure die casting process using boundary and finite element methods , 1997 .

[10]  Kevin O'Neill,et al.  Boundary integral equation solution of moving boundary phase change problems , 1983 .

[11]  H. L. G. Pina Numerical Integration and other Computational Techniques , 1984 .

[12]  Stuart W. Churchill,et al.  Correlating equations for laminar and turbulent free convection from a horizontal cylinder , 1975 .

[13]  N. Z. Azer,et al.  Turbulent heat transfer in liquid metals-fully developed pipe flow with constant wall temperature , 1961 .

[14]  C. Brebbia,et al.  Boundary elements for non-linear heat conduction problems , 1988 .

[15]  C. Sleicher,et al.  A convenient correlation for heat transfer to constant and variable property fluids in turbulent pipe flow , 1975 .

[16]  Takateru Umeda,et al.  Numerical models for casting solidification: Part II. Application of the boundary element method to solidification problems , 1984 .

[17]  Carlos Alberto Brebbia,et al.  The Boundary Element Method for Engineers , 1978 .

[18]  Mark Cross,et al.  Numerical simulation of flows encountered during mold-filling , 1991 .

[19]  K. Davey,et al.  An improved procedure for solving transient heat conduction problems using the boundary element method , 1989 .

[20]  J. Lloyd,et al.  Natural Convection Adjacent to Horizontal Surface of Various Planforms , 1974 .

[21]  H. Pina,et al.  Heat Transfer Applications , 1984 .

[22]  E. Skupinski,et al.  Determination des coefficients de convection d'un alliage sodium-potassium dans un tube circulaire , 1965 .

[23]  Gernot Beer,et al.  Introduction to Finite and Boundary Element Methods for Engineers , 1993 .

[24]  C. Sleicher,et al.  Temperature and eddy diffusivity profiles in NaK , 1973 .

[25]  Takateru Umeda,et al.  Numerical models for casting solidification: Part I. The coupling of the boundary element and finite difference methods for solidification problems , 1984 .

[26]  Sri Hinduja,et al.  Modelling the pressure die casting process with the boundary element method: Steady state approximation , 1990 .

[27]  Ali El-Zafrany Techniques of the boundary element method , 1993 .

[28]  J. T. Cross,et al.  Finite element analysis of heat transfer and flow problems using adaptive remeshing including application to solidification problems , 1991 .

[29]  Sri Hinduja,et al.  Modelling the transient thermal behavior of the pressure die-casting process with the BEM , 1990 .

[30]  Asif Usmani,et al.  A finite element model for the simulations of mould filling in metal casting and the associated heat transfer , 1992 .

[31]  H. K. Barton THE PRESSURE DIECASTING OF METALS , 1964 .

[32]  D. Caulk,et al.  A New Method for Thermal Analysis of Die Casting , 1993 .

[33]  Keith Davey,et al.  An iterative solution scheme for systems of boundary element equations , 1994 .

[34]  R. J. Goldstein,et al.  Numerical simulation of flows, heat transfer and solidification in pressure die casting , 1992 .

[35]  Gary F. Dargush,et al.  Advanced development of the boundary element method for steady-state heat conduction , 1989 .

[36]  Nicholas Zabaras,et al.  An analysis of solidification problems by the boundary element method , 1987 .