Numerical simulation of the aluminum alloys solidification in complex geometries

The process of mould design in the foundry industry has been based on the intuition and experience of foundry engineers and designers. To bring the industry to a more scientific basis the design process should be integrated with scientific analysis such as heat transfer. The production by foundry techniques is influenced by the geometry configuration, which affects the solidification conditions and subsequent cooling. Numerical simulation and/or experiments make possible the selection of adequate materials, reducing cycle times and minimizing production costs. The main propose of this work is to study the heat transfer phenomena in the mould considering the phase change of the cast-part. Due to complex geometry of the mould, a block unstructured grid and a generalized curvilinear formulation engaged with the finite volume method is described and applied. Two types of boundary conditions, diffusive and Newtonian, are used and compared. The developed numerical code is tested in real case and the main results are compared with experimental data. The results showed that the solidification time is about 6 seconds for diffusive boundary conditions and 14.8 seconds for Newtonian boundary conditions. The use of the block unstructured grid in combination with a generalized curvilinear formulation works well with the finite volume method and allows the development of more efficient algorithms with better capacity to describe the part contours through a lesser number of elements.

[1]  David J. Browne,et al.  Use of experiment and an inverse method to study interface heat transfer during solidification in the investment casting process , 2000 .

[2]  Chang Nyung Kim,et al.  A numerical analysis of molten steel flow under applied magnetic fields in continuous casting , 2003 .

[3]  Vaughan R Voller,et al.  Towards a general numerical scheme for solidification systems , 1997 .

[4]  V. Voller,et al.  The modelling of heat, mass and solute transport in solidification systems , 1989 .

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

[6]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[7]  Koulis Pericleous,et al.  Three-dimensional free surface modelling in an unstructured mesh environment for metal processing applications , 1998 .

[8]  Bohdan Mochnacki,et al.  Application of the boundary element method for the numerical modelling of the solidification of cylindrical and spherical castings , 2000 .

[9]  Kyongsu Yi,et al.  A multi-target tracking algorithm for application to adaptive cruise control , 2005 .

[10]  Abel Rouboa,et al.  Heat Transfer Simulation in the Mould With Generalized Curvilinear Formulation , 2003 .

[11]  In-Soo Son,et al.  Influence of tip mass on dynamic behavior of cracked cantilever pipe conveying fluid with moving mass , 2005 .

[12]  Samuel Paolucci,et al.  Numerical simulation of filling and solidification of permanent mold castings , 2002 .

[13]  Haecheon Choi,et al.  An immersed-boundary finite-volume method for simulation of heat transfer in complex geometries , 2004 .

[14]  Elliot Duff Fluid flow aspects of solidification modelling : simulation of low pressure die casting , 1995 .