A mathematical computer model for estimating phase weight/ atomic fractions for iron slags’ system (SiO2-Al203-CaO-MgO) at subsolidus temperatures

Abstract

In this study, the 3 dimensional description of the quaternary subsolidus slag system aluminasilicacalciamagnesia is evaluated using Mathematica programming based on previous experimental research data. The lever rule in the tetrahedra is then applied for a given arbitrary liquid composition %A ? %B ? %C ? %D = 100 in order to calculate the solid phases present (neglecting solid solutions) with their relative proportions after the solidification is completed. A novel transformation and algorithm are then developed using simple geometry and Matlab programming which can also be used for other subsolidus systems in case appropriate data are provided.