In the current study, a two-dimensional mathematical model was applied to investigate the slag lubrication in continuous casting mold of slab through the acquisition of the average slag consumption per oscillation cycle and the shear stress acting on the shell. The thickness and the consumption of the slag in the shell/mold gap and the downward velocity on either side of the liquid slag were monitored at different distances below meniscus and compared with different casting parameters. With the increase of the distance below meniscus from 10 to 300 mm, the thickness of the total slag and the liquid slag decreased, and thickness was within 0.78 to 1.11 and 0.04 to 0.33 mm, respectively. The average slag consumption at four different locations below meniscus was approximate, within 0.0287 to 0.0298 kg/s in three adjacent oscillation cycles. With enough slag consumption, the shear stress was extremely small and was below 80 Pa at 100 and 300 mm below meniscus. With the decrease of the casting speed from 1.6 to 1.2 m/min, the casting superheat from 45 to 25 K and the oscillation frequency from 180 to 100 cpm, and the increase of the oscillation amplitude from 2 to 5 mm, the average slag consumption per ton of steel and the slag consumption (kg/m2) increased, and the consumption was within 0.0245 to 0.0415 kg/s and mainly below 0.40 kg/m2, respectively, which resulted in the improvement of the lubrication in the shell/mold gap.

中文翻译：

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板坯连铸结晶器熔渣消耗和润滑的数学建模

在目前的研究中，通过获取每个振荡周期的平均炉渣消耗量和作用在壳上的剪切应力，应用二维数学模型来研究板坯连铸结晶器中的炉渣润滑情况。在弯液面下方不同距离处监测壳/模具间隙中渣的厚度和消耗量以及液态渣两侧的向下速度，并与不同的铸造参数进行比较。随着弯液面下方距离从 10 mm 增加到 300 mm，总渣和液态渣的厚度减小，厚度分别在 0.78 到 1.11 和 0.04 到 0.33 mm 之间。弯液面下方四个不同位置的平均炉渣消耗量是近似值，在三个相邻的振荡循环中在 0.0287 至 0.0298 kg/s 之间。在足够的炉渣消耗量下，剪切应力非常小，在弯液面下方 100 和 300 毫米处的剪切应力低于 80 Pa。随着拉速从 1.6 降低到 1.2 m/min，铸件过热度从 45 到 25 K，振荡频率从 180 到 100 cpm，振荡幅度从 2 到 5 mm 增加，平均渣耗每吨钢和炉渣消耗量（kg/m2）增加，消耗量分别在0.0245～0.0415 kg/s之间，主要在0.40 kg/m2以下，从而改善了壳/模间隙的润滑.