A Mathematical Computer Model for Estimating Phase Weight/ Atomic Fractions for Iron Slags’ System (SiO2-Al203-CaO-MgO) at Subsolidus Temperatures

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Yelkenci A. T., Erkmen Z. E.

JOURNAL OF PHASE EQUILIBRIA AND DIFFUSION, vol.1, no.1, pp.1-8, 2023 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 1 Issue: 1
• Publication Date: 2023
• Doi Number: 10.1007/s11669-023-01033-3
• Journal Name: JOURNAL OF PHASE EQUILIBRIA AND DIFFUSION
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
• Page Numbers: pp.1-8
• Open Archive Collection: AVESIS Open Access Collection
• Marmara University Affiliated: Yes

Abstract

In this study, the 3 dimensional description of the quaternary subsolidus slag system alumina-silica-calcia-magnesia 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 MathLab programming which can also be used for other subsolidus systems in case appropriate data are provided.