engleski

A 3-D Mathematical Model of Solidification of Feeding Distances of Cast-Steel Bars

A three-dimensional mathematical model of the solidification of cast-steel bars in silica-sand moulds was developed. Fourier`s partial differential equation of heat conduction is solved by means of the modified Brian`s implicit finite-differences method. The method enables an easier treatment of the boundary conditions and reduces the time of operationalisation of the mathematical model. The thermophysical properties of the materials in the system casting-mould depend on the temperature, which gives nonlinearity to the model. A computer program was written in ASCII-FORTRAN and solved on a SPERRY 1106 computer. On the basis of a numerical simulation of the solidification in silica-sand moulds a new formula for the feeding distance as a function of bar thickness is obtained. The results are in relatively good agreement with experimental value from the literature.

3-D mathematical model; solidification; feeding distance; cast steel bars

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