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Mathematical and Physical Modeling of Three-Phase Gas-Stirred Ladles

机译:三相气体搅拌钢包的数学和物理建模

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A very realistic 1:17 scale physical model of a 140-ton gas-stirred industrial steel ladle was used to evaluate flow patterns measured by Particle Image Velocimetry (PIV), considering a three-phase system (air-water-oil) to simulate the argon-steel-slag system and to quantify the effect of the slag layer on the flow patterns. The flow patterns were evaluated for a single injector located at the center of the ladle bottom with a gas flow rate of 2.85 l/min, with the presence of a slag phase with a thickness of 0.0066 m. The experimental results obtained in this work are in excellent agreement with the trends reported in the literature for these gas-stirred ladles. Additionally, a mathematical model was developed in a 2D gas-stirred ladle considering the three-phase system built in the physical model. The model was based on the Eulerian approach in which the continuity and the Navier Stokes equations are solved for each phase. Therefore, there were three continuity and six Navier-Stokes equations in the system. Additionally, turbulence in the ladle was computed by using the standard k-epsilon turbulent model. The agreement between numerical simulations and experiments was excellent with respect to velocity fields and turbulent structure, which sets the basis for future works on process analysis with the developed mathematical model, since there are only a few three-phase models reported so far in the literature to predict fluid dynamics in gas-stirred steel ladles.
机译:一个非常真实的1:17规模的140吨气体搅拌的工业钢钢包的物理模型用于评估粒子图像速度(PIV)测量的流动模式,考虑到三相系统(空气 - 油)模拟氩钢制渣系统和量化炉渣层对流动图案的影响。评估流动图案,用于位于钢包底部中心的单个注射器,气体流速为2.85L / min,厚度为0.0066μm的炉渣相。在这项工作中获得的实验结果与这些气体搅拌的钢包的文献中报道的趋势非常一致。另外,考虑到在物理模型中内置的三相系统,在2D气体搅拌的钢包中开发了数学模型。该模型基于欧拉方案,其中为每个阶段解决了连续性和Navier Stokes方程。因此,系统中有三个连续性和六个Navier-Stokes方程。另外,通过使用标准的K-epsilon湍流模型来计算钢包中的湍流。数值模拟与实验之间的协议对于速度场和湍流结构非常出色,这为未来的工艺分析设定了开发的数学模型的基础,因为迄今为止在文献中仅报告了几个三相模型预测气体搅拌钢水中的流体动力学。

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