Abstract
Abstract The motion behavior of nonmetallic inclusions at the interface of molten steel and slag fundamentally affects the removal of inclusions. Therefore, from an analysis of forces, this study constructed a mathematical model of inclusion movement. Compared with other models that only consider the forces acting on nonmetallic inclusions at the interface, the proposed model considers not only cases in the inclusions which enter the slag interior and rebound into the molten steel, but also the effect of fluid flow containing the inclusions with different Re numbers on the drag force. The application of this established model has not taken Reynolds number of fluid flow into consideration. The model can predict the motion of inclusions at the interface and in nearby areas and provide a curve of inclusion displacement vs time. The mathematical model was verified with a physical model, with the curve of displacement vs time obtained from physical experiment being consistent with the calculated curve. The preliminary calculation results show that inclusions having liquid film at their surfaces are rebounded into the steel when they have size within a certain range but enter the slag phase directly when they are beyond that size range.
Highlights
THE progress of science and technology has produced steel of higher quality
The model considers all factors affecting the motion of inclusions at the interface and in areas nearby and the effect of fluid flow containing inclusions with the drag force of different Re numbers, overcoming the limitation of previous models that only consider the forces acting on nonmetal inclusions at the interface, and assume that the fluid flow containing inclusions is Stokes flow regardless of the value of Re
The displacement–time curve obtained from the mathematical model to describe the motion behavior of inclusions at the interface and in nearby areas was verified with a physical water model, with the results showing good agreement
Summary
THE progress of science and technology has produced steel of higher quality. Nonmetallic inclusions are generally considered to adversely affect the performance of steel.[1]. Many works[9,10,11,12] have described the thermodynamics of inclusion removal Most of these models and studies argue that inclusions are separated and eliminated once they reach the interface between steel and slag. This study presents a novel analysis of the (delete) changing forces when inclusions are in steel phase, slag phase, at the interface between steel and slag, and in a continuous process during separation. This further analysis may affect the motion trail and separation time. The second part presents results on the effects of inclusion size, interfacial tension between the inclusion and slag phase, and viscosity of slag on the motion behavior of inclusions at the steel–slag interface according to the mathematical model
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