Determining the Lateral Capillary Force Between Inclusions at the Gas/Steel or Slag/Steel Interface

Zilong Qiu, Muxing Guo, Annelies Malfliet
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Abstract

Understanding the agglomeration behavior between inclusions during steelmaking is crucial to control steel quality and cleanliness. This work reviews the state-of-the-art lateral capillary interaction between inclusions attached to the gas/steel or slag/steel interfaces, which is an essential aspect of inclusion agglomeration. The origin of the lateral capillary force, the methodologies to measure the force, and the development of the capillary theory are discussed. High-temperature confocal scanning laser microscopy (CSLM) has been intensively used for the in situ observation of inclusion agglomeration at the gas/steel or slag/steel interfaces. To calculate the lateral capillary force between inclusions from a series of 2D CSLM images, the particle mass, the inter-particle distance, and the drag force on the inclusions are the main input parameters. We compared the capillary force between two ellipsoidal particles obtained from different particle radius approximations (long and short radii, arithmetic mean, equivalent and effective radius, and equivalent volume), separation distances (inter-center and inter-surface), and capillary models (Yin’s, Chan’s, Mu’s, K–P, and sub-particle models). The results highlight the importance of consistency in the parameters used in the force calculation from CSLM images and capillary models.

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确定气体/钢或熔渣/钢界面夹杂物之间的侧向毛细力
了解炼钢过程中夹杂物之间的团聚行为对于控制钢材质量和清洁度至关重要。本研究回顾了附着在气体/钢或熔渣/钢界面上的夹杂物之间的横向毛细作用的最新进展,这是夹杂物团聚的一个重要方面。文中讨论了横向毛细作用力的起源、测量毛细作用力的方法以及毛细理论的发展。高温共焦扫描激光显微镜(CSLM)已被广泛用于现场观察气体/钢或熔渣/钢界面上的夹杂团聚。从一系列二维 CSLM 图像中计算夹杂物之间的横向毛细力时,颗粒质量、颗粒间距离和夹杂物上的阻力是主要的输入参数。我们比较了从不同的颗粒半径近似值(长半径和短半径、算术平均值、等效半径和有效半径以及等效体积)、分离距离(中心间和表面间)以及毛细管模型(殷模型、陈模型、穆模型、K-P 模型和子颗粒模型)得到的两个椭圆形颗粒之间的毛细管力。结果凸显了根据 CSLM 图像和毛细管模型计算力时所用参数一致性的重要性。
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