Mathematical analysis of segregations in continuously-cast slabs.

Abstract

SynopsisA method of mathematically analyzing interdendritic microsegregation was established using finite difference method and taking into consideration the diffusion of the solute in the solid and liquid phases. The cross-sectional shape of dendrites and the fact that the enrichment of the solute in the liquid phase at the solid-liquid interface restrains the advancement speed of the solid-liquid interface were considered. Directional solidification tests to examine interdendritic segregation were made to verify the mathematical analysis method established. The advantages of the new method over other methods were discussed. Then, spot-like segregation were mathematically analyzed applying the same method, and the results were in good agreement with the observations in continuously-cast slabs.

Computer Simulation of the Formation of Non-Metallic Precipitates During a Continuous Casting of Steel

“…Calculations were performed under conditions of the thermodynamic equilibrium between the metallic liquid phase and non-metallic solid phase with the use of constant equilibriums of reactions during which MnO, SiO 2 , Al 2 O 3 , MnS and AlN are formed [1,4,7,[10][11][12]. The chemical composition of the analyzed steel is presented in Table 2, and the results of computer simulations in figures 2 -7.…”

“…This causes not only a gradual change of the composition of the precipitates, which evolve over the crystallization process, but also decreases the steel crystallization temperature. The scale of this effect depends on the cooling rate of steel during casting [1,4,[10][11][12]. The most important precipitates are formed in steel according to the following reactions [1,4,10,11]: The authors own computer software, based on the ueshima mathematical model with taking into account the back diffusion, determined from the Wołczyński equation, was developed for simulation calculations.…”

Prediction of Microsegregation Behavior in Fe-based Alloys Based on Machine Learning

“…多層パーセプトロンとディープラーニングの比較 Fe-1.0 mass%Mn Table 1. Parameters for each element employed in this study 8,9) . Table 2.…”

Solidification Path and Solute Redistribution of an Iron-Based Multi-Component Alloy with Solute Diffusion in the Solid

“…In Fe-C-X alloys, carbon is an interstitial solute element, while X (a metallic element) is usually a substitutional solute element, and their diffusivities in the solid are more than 3 orders different from each other. For this reason, full numerical methods are often used 1) to calculate the solidification path of an iron-based multi-component alloy. Wołczyński's method makes it easier.…”

“…Several attempts 1,2) have been made to predict the solidification path of an iron-based multi-component alloy. For most cases in the solidification of an iron-based alloy, we must estimate the segregation of carbon as the first solute, where the diffusion of carbon in the solid has to be considered and the assumption of the equilibrium solidification about carbon is at best a rough approximate assumption.…”