Numerical Simulation of Droplet Splashing Behavior in Steelmaking Converter Based on VOF-to-DPM Hybrid Model and AMR Technique

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Abstract

Droplet splashing behavior caused by the top blowing supersonic jets impacting the liquid metal surface significantly affects the decarburization efficiency and refractory erosion during the basic oxygen furnace (BOF) steelmaking process. However, simulating the mass and size of splashing droplets is challenging because the droplet size differs by multiple orders of magnitude from the molten bath. Herein, a hybrid model (VOF-to-DPM) coupling the volume of fluid model (VOF) and discrete phase model (DPM) was combined with the adaptive mesh refinement (AMR) technique to successfully achieve high-resolution and quantitative capture of splashing droplets. The simulation results are in good agreement with the droplet splashing rate calculated by the theoretical formula based on the Blowing number (NB) within the allowable error range. The generation mechanisms of splashing droplets caused by single-hole and multiple-hole jets impacting the liquid surface were clarified. Furthermore, the effects of oxygen lance height and top blowing flow rate on the total droplet mass, mass and percentage of droplets sprayed on the furnace wall, and the droplet size were also investigated. It was revealed that with the decrease of the oxygen lance height, the total droplet mass increases and then decreases, and the droplet size increases. As the top blowing flow rate increases, the total mass and size of droplets both tend to increase. The proportion of droplets sprayed on the furnace wall increases sequentially when the impact cavities are in the penetrating mode, splashing mode, and quasi-dimpling mode. Moreover, the relationship between the cavity morphology and the droplet splashing was quantitatively characterized. As the modified cavity shape index (Icm) increases, the droplet splashing mass increases then decreases and finally increases. The change in cavity mode is the main factor affecting the droplet splashing behavior.

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基于 VOF 到 DPM 混合模型和 AMR 技术的炼钢转炉液滴飞溅行为数值模拟
摘要 在碱性氧气炉(BOF)炼钢过程中,由顶吹超音速射流冲击液态金属表面引起的液滴飞溅行为会严重影响脱碳效率和耐火材料侵蚀。然而,模拟飞溅液滴的质量和尺寸具有挑战性,因为液滴尺寸与熔池尺寸相差多个数量级。在此,我们将流体体积模型(VOF)和离散相模型(DPM)的混合模型(VOF-to-DPM)与自适应网格细化(AMR)技术相结合,成功实现了对飞溅液滴的高分辨率和定量捕捉。模拟结果与基于吹数(NB)的理论公式计算出的液滴飞溅率在允许误差范围内吻合良好。阐明了单孔和多孔射流撞击液面所产生的飞溅液滴的生成机理。此外,还研究了氧枪高度和顶吹流速对液滴总质量、喷射到炉壁上的液滴质量和百分比以及液滴尺寸的影响。结果表明,随着氧枪高度的降低,液滴总质量先增大后减小,液滴尺寸增大。随着顶吹气流量的增加,液滴的总质量和大小都有增加的趋势。当冲击腔处于穿透模式、飞溅模式和准稀释模式时,喷洒在炉壁上的液滴比例依次增加。此外,还定量分析了空腔形态与液滴飞溅之间的关系。随着改良空腔形状指数(Icm)的增大,液滴飞溅质量先增大后减小,最后增大。空腔模式的变化是影响液滴飞溅行为的主要因素。
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