Development of Mathematical Equation for Fraction of Solid in AlSi7Mg Alloy Solidification Simulation

Affiliation(s)

Materials Science and Engineering Department,Obafemi Awolowo University, Ife, Nigeria..

Materials Science and Engineering Department,Obafemi Awolowo University, Ife, Nigeria..

ABSTRACT

Thermodynamic data is made use of in calculating fraction of metal solidified in solidifcation simulation. However, thermodynamic data for many industrial alloys in their solidification ranges are not available for most practicing engineers. It is thus desirable to develop reliable equations that can be used in calculating fraction of metal solidified for solidification simulation. This work has developed an equation to calculate fraction of metal solidified for AlSi7Mg alloy solidifying under fast cooling conditions using generated values from thermodynamic data.

Thermodynamic data is made use of in calculating fraction of metal solidified in solidifcation simulation. However, thermodynamic data for many industrial alloys in their solidification ranges are not available for most practicing engineers. It is thus desirable to develop reliable equations that can be used in calculating fraction of metal solidified for solidification simulation. This work has developed an equation to calculate fraction of metal solidified for AlSi7Mg alloy solidifying under fast cooling conditions using generated values from thermodynamic data.

Cite this paper

O. Oluwole, G. Oluwadare and A. Afonja, "Development of Mathematical Equation for Fraction of Solid in AlSi7Mg Alloy Solidification Simulation,"*Journal of Minerals and Materials Characterization and Engineering*, Vol. 7 No. 1, 2008, pp. 71-82. doi: 10.4236/jmmce.2008.71006.

O. Oluwole, G. Oluwadare and A. Afonja, "Development of Mathematical Equation for Fraction of Solid in AlSi7Mg Alloy Solidification Simulation,"

References

[1] Chen C. W., Li C. R., Han T. H., Shei C. T., Hwang W. S and C.M.Houng, 1994. Numerical Simulation of Filling Pattern for an Industrial Die Casting and its Comparison with the defects distribution of an actual castings . Trans. of the American Foundrymen’s Society, 102 , 139-146.

[2] Chen. Y. F. and W.S. Hwang, 1996. Mould Filling Simulation with Partial Cell Method. Trans American Foundrymen's Society , 104 , 197-201.

[3] Fackeldy. M, Ludwig. A and P.R. Sahm,, 1996. Coupled Modelling of the Solidification process predicting Temperature, Stresses and Microstructure Computational Material Science, 7(194-199).

[4] Cheng C. Q., Upadhya G., Suri V. K., Atmakuri S and A.J Paul,1992. Solidification Modelling and Prediction of Defect of a sand cast Ductile Iron TPlate. American Foudrymen Society. 20p

[5] Ehlen G. Schweizer A. Ludwig A. and P.R Sahm, 2000. Free Surface Model to Predict the Influence of Shrinkage Cavities on the Solute Redistribution in Castings In: Modeling of Casting, Welding and Advanced Solidification Processes IX, ed. P.R. Sahm, P. N. Hansen, J. G. Conley, 632-63

[6] A. Ludwig,2001. Comparison of Dendrites of a pure Material with Thermal Alloy Dendrites. Acta Materiala, 49 , 165.

[7] MEBSP,2002. Microstructural Engineering by solidification processing; Properties base for Solidification Simuilation- European collaborative program” http:// www.gi.rwth-aachen.de/MEBSP-b

[8] Ludwig. A , Quested. B . and G.Neuer,2001. How to find Thermophysical Material Property data for casting Simulations. Advanced. Engineering Materials, 3, 11

[9] Oluwole.O Ph.D Thesis, Obafemi Awolowo University, (2004) 266 pages.

[10] Bunday B . D and H. Mulholand (1975). Pure Mathematics for Advanced Level Butterworths , London , 94 -129, 170 – 187.

[11] E. Myskowski, H. Bishop and W. PelliniT Riser Diagrams Trans. AFS, 63 (1955) 271.

[1] Chen C. W., Li C. R., Han T. H., Shei C. T., Hwang W. S and C.M.Houng, 1994. Numerical Simulation of Filling Pattern for an Industrial Die Casting and its Comparison with the defects distribution of an actual castings . Trans. of the American Foundrymen’s Society, 102 , 139-146.

[2] Chen. Y. F. and W.S. Hwang, 1996. Mould Filling Simulation with Partial Cell Method. Trans American Foundrymen's Society , 104 , 197-201.

[3] Fackeldy. M, Ludwig. A and P.R. Sahm,, 1996. Coupled Modelling of the Solidification process predicting Temperature, Stresses and Microstructure Computational Material Science, 7(194-199).

[4] Cheng C. Q., Upadhya G., Suri V. K., Atmakuri S and A.J Paul,1992. Solidification Modelling and Prediction of Defect of a sand cast Ductile Iron TPlate. American Foudrymen Society. 20p

[5] Ehlen G. Schweizer A. Ludwig A. and P.R Sahm, 2000. Free Surface Model to Predict the Influence of Shrinkage Cavities on the Solute Redistribution in Castings In: Modeling of Casting, Welding and Advanced Solidification Processes IX, ed. P.R. Sahm, P. N. Hansen, J. G. Conley, 632-63

[6] A. Ludwig,2001. Comparison of Dendrites of a pure Material with Thermal Alloy Dendrites. Acta Materiala, 49 , 165.

[7] MEBSP,2002. Microstructural Engineering by solidification processing; Properties base for Solidification Simuilation- European collaborative program” http:// www.gi.rwth-aachen.de/MEBSP-b

[8] Ludwig. A , Quested. B . and G.Neuer,2001. How to find Thermophysical Material Property data for casting Simulations. Advanced. Engineering Materials, 3, 11

[9] Oluwole.O Ph.D Thesis, Obafemi Awolowo University, (2004) 266 pages.

[10] Bunday B . D and H. Mulholand (1975). Pure Mathematics for Advanced Level Butterworths , London , 94 -129, 170 – 187.

[11] E. Myskowski, H. Bishop and W. PelliniT Riser Diagrams Trans. AFS, 63 (1955) 271.