3.1. Mechanism of Micro Inclusions Removal by Bubbles
There have been numerous studies on the collision, adhesion, and detachment processes between bubbles and particles in fields such as flotation. According to Verrelli [
25], the total probability of inclusion removal by bubbles is given by
where
is the collision probability between bubbles and inclusions,
is the adhesion probability, and
is the probability of non-detachment.
L. Zhang [
26] reported that when the inclusion diameter is less than 10 μm, the collision duration between the bubble and the inclusion exceeds the time required for the liquid film between them to become sufficiently thin and rupture. Consequently, the inclusion tends to adhere to the bubble after collision. Therefore, for inclusions smaller than 10 μm, the adhesion probability (
) is assumed to be 1.
S. Zhang [
27] found that when the inclusion diameter is less than 100 μm, the surface tension between the inclusion and the bubble dominates other forces. This surface tension causes the liquid interface to contract, pulling the inclusion closer to the bubble and making detachment difficult for small inclusions. Hence, for inclusions smaller than 100 μm, the probability of non-detachment (
) is assumed to be 1.
Therefore, for inclusions smaller than 10 μm, it can be considered that .
According to Sutherland [
28], the
is calculated as Equations (2) and (3):
where
Pc is the collision probability, %.
is a dimensionless number.
is the diameter of inclusion, m.
is the bubble diameter, m.
is the inclusion velocity, m/s.
is the bubble velocity, m/s.
The velocities of inclusions and bubbles are obtained by the Stokes formula, as Equation (4):
where
is the particle velocity, m/s.
is the density of molten steel, 7000 kg/m
3.
is the particle density, kg/m
3.
is the acceleration due to gravity, 9.8 m/s
2.
is the particle diameter, m.
is the viscosity of molten steel, 0.005 Pa·s.
The observed bubble sizes in this experiment primarily range from 10 to 1000 μm. Consequently, the collision probability between bubbles and inclusions smaller than 10 μm is analyzed within this size range. The results are shown in
Figure 7. It is evident that the collision probability between bubbles and inclusions decreases as the bubble diameter increases. Additionally, as the inclusion diameter decreases, the collision probability decreases.
For 1 μm inclusions, the collision probability with 10 μm bubbles is approximately 30% and decreases significantly as bubble size increases. The collision probability with bubbles of 60 μm diameter and larger is less than 5%, indicating a low likelihood of collision. For inclusions with diameters of 3 μm, 5 μm, and 10 μm, the collision probabilities with 60 μm bubbles are approximately 14%, 24%, and 47%, respectively.
The Sutherland model primarily addresses the interception effect of bubbles on particles in potential flow. However, during the RH refining process, the molten steel flow within the ladle is turbulent. Consequently, the influence of turbulence on bubbles and inclusions must be considered. According to studies by Shahbazi [
29] and Zhao [
30], turbulence exerts a relatively minor influence on the adhesion and detachment of small particles. Therefore, the effect of turbulence on the collision probability should be considered.
According to the Saffman–Turner [
31] model, when bubble and inclusion sizes are relatively small, both follow turbulent micro-vortices and collide within the collision radius. The number of collisions between a single bubble and inclusions per unit time is given by
where
is the number of collisions between one bubble and inclusions per unit time, 1/s.
is the volume number density of inclusions, 1/m
3.
is the bubble radius, m.
is the inclusion radius, m.
is the turbulent kinetic energy dissipation rate of molten steel, m
2/s
3.
is the kinematic viscosity of molten steel, m
2/s.
Meanwhile, Nguyen [
32] defined that the ideal collision number between bubbles and particles is determined by the ideal relative motion of bubbles and particles under the action of gravity, and it is described as
by combining Equations (5) and (6), the collision efficiency between particles and bubbles in turbulence is obtained.
the calculation results of
are shown in
Figure 8. As shown in
Figure 8a, when the turbulent kinetic energy dissipation rate
= 0.1 m
2/s
3, the collision efficiency increases slightly with the increase in inclusion size, while it decreases significantly with the increase in bubble size. This trend is similar to the law obtained from the Sutherland model. As indicated in
Figure 8b, the collision efficiency increases significantly with the increase in the turbulent kinetic energy dissipation rate. It should be noted that turbulence can significantly enhance the relative motion between bubbles and inclusions, making their relative velocity much greater than that under the influence of gravity, which results in a collision efficiency greater than 1. In general, the turbulent environment will further increase the collision probability of bubbles and small inclusions, thereby enhancing the inclusion removal ability of bubbles.
3.2. Bubble Characteristics Analyzed
The CT scanning revealed a large number of bubbles within the sample, with sizes ranging from 0.06 to 1.43 mm. Due to the 100 mm length of the sample, the bubbles in the three-dimensional map appear too small. Therefore, a local region is magnified, as shown in
Figure 9a. Spherical pores are clearly visible, with diameters predominantly below 1 mm. The size and morphology of a single ellipsoidal pore is determined through re-magnification, as shown in
Figure 9b.
The relationship between pore sphericity and diameter in the upper and lower samples is analyzed. Since the bubble of diameter < 3 mm is spherical [
33], features with sphericity of at least 0.6 are classified as bubbles. The results are shown in
Figure 10.
Figure 10 indicates that smaller pore diameters are associated with higher sphericity. This is because actual bubbles are not perfect spheres, and smaller bubbles tend to approximate spherical shape due to surface tension effects. In the lower sample, the maximum bubble diameter is 1.13 mm, while the minimum is 0.06 mm. In the upper sample, the maximum bubble diameter is 1.43 mm, with a minimum of 0.06 mm.
Based on the CT detection, the total volume of the upper sample is 4.7 × 10
3 mm
3, while that of the lower sample is 3.4 × 10
3 mm
3. The volume number density of bubbles with varying diameters in the sample is calculated, as shown in
Figure 11. The total bubble number density in the lower sample is 0.1606/mm
3, with bubbles of diameters between 0.05 and 0.55 mm having a density of 0.1556/mm
3, accounting for 96.88%. The average bubble diameter in this sample is approximately 0.26 mm. In the upper sample, the total bubble number density is 0.2306/mm
3, with bubbles of diameters between 0.05 and 0.55 mm constituting approximately 86.9%, and the average diameter is 0.27 mm. Generally, the most common bubble diameter is 0.06 mm, with a corresponding number density of about 0.1/mm
3.
It should be noted that the bubble size distribution is expected to approximately follow a log-normal distribution [
34]. However, the number of bubbles larger than 0.06 mm detected in this experiment increases as the diameter decreases, indicating the presence of a substantial number of bubbles smaller than 0.06 mm. Subsequent electron microscope observations of the samples support this inference.
Overall, the bubble sizes detected by the DLAI are small, with the maximum size not exceeding 1.5 mm. According to the mechanism of bubble-capturing inclusions, the small-sized bubbles generated by DLAI are conducive to the inclusion removal.
In addition to the CT scanning results, SEM observation also reveals small-sized bubbles.
Figure 12 presents an image of the bubbles. It is found that the majority of bubbles have diameters ranging from 40 to 50 μm, consistent with the CT test results. The maximum observed bubble diameter is 87 μm, while the minimum is 7 μm.
Scanning electron microscopy and energy spectrum analysis reveal that certain bubbles adhered to inclusions. As shown in
Figure 13, an Al-Ti-O inclusion approximately 8 μm in size is observed at the bottom of a bubble with a diameter of about 25 μm.
3.3. Effect of DLAI on Molten Steel Deoxidation
The effect of DLAI on steel oxygen content is investigated by analyzing RH refining production data. As shown in
Figure 14, the distribution of RH refining times in the experimental group is more concentrated compared to the control group. Specifically, the refining times for the experimental heats mainly range from 33.18 to 35.22 min, whereas those for the control group heats mainly range from 33.02 to 36.43 min. Additionally, the average refining times (the triangle in
Figure 14) are similar, at 34.49 min for the experimental group and 34.56 min for the control group. The median values are also comparable, at 33.89 min for the experimental group and 34.20 min for the control group.
The standard error of the experimental group is 0.66 min, which is less than 0.1 of the mean value, and the 95% confidence interval of the mean value is (33.10 min, 35.88 min). The standard error of the control group is 0.41 min, which is less than 0.1 of the mean value, and the 95% confidence interval of the mean value is (33.74 min, 35.38 min). The mean absolute deviations of the experimental group and the control group are 1.99 min and 1.97 min, respectively, with the experimental group being 101% of the control group, indicating that the degree of dispersion of the two groups is basically the same.
Overall, these results indicate that the DLAI technology does not significantly affect the RH refining duration.
The DLAI technology blows low-temperature argon into the molten steel at a significant flow rate. Therefore, it is essential to analyze its impact on the temperature drop of molten steel in the RH process. As shown in
Figure 15, the distribution of RH temperature drops for both the experimental and control groups is similar. The outlet temperature drop for the experimental group primarily ranges from 15.00 to 35.00 °C, whereas that for the control group mainly falls within 20.00 to 31.00 °C. Their average temperature drops are approximately the same, at 25.93 °C and 26.58 °C, respectively. Similarly, the median values are close, at 26.00 °C and 28.00 °C, respectively. Overall, the distribution range, mean, and median of the temperature drops in the experimental group are consistent with those in the control group, with differences of approximately 1–2 °C.
The standard error of the experimental group is 2.96 °C. The ratio of the standard error to the mean value is less than 0.3, and the 95% confidence interval of the mean value is (19.59 °C, 32.27 °C). The standard error of the control group is 1.55 °C. The ratio of the standard error to the mean value is less than 0.1, and the 95% confidence interval of the mean value is (23.43 °C, 29.73 °C). The mean absolute deviations of the temperature drop in the experimental group and the control group are 9.40 °C and 7.46 °C, respectively. The experimental group is 126% of the control group, indicating that the dispersion degree of the temperature drop in the experimental group is relatively larger.
It can be concluded that the DLAI technology has no significant effect on the temperature drop in the RH process.
In summary, the refining duration and temperature decline of the heats in both the experimental and control groups are comparable. It can be concluded that the deoxidation duration and reaction temperature during the refining process of molten steel are similar in both groups. Therefore, the effect of DLAI on the deoxidation reaction can be demonstrated by comparing the oxygen activity at the start and end of the RH refining.
According to
Figure 16, the distribution of oxygen activity at the RH start in both the experimental and control groups is similar. The initial oxygen activity in the experimental group primarily ranges from 350.88 to 477.76 ppm, while in the control group it ranges from 366.26 to 448.08 ppm. Additionally, the average initial oxygen activity in the experimental group (421.27 ppm) is slightly higher than that in the control group (404.21 ppm). Similarly, the median inlet oxygen activity in the experimental group (434.0 ppm) is marginally higher than in the control group (417.4 ppm).
The standard error of the initial oxygen activity in the experimental group is 21.09 ppm, which is less than 0.1 of the mean value, and the 95% confidence interval of the mean value is (376.77 ppm, 465.77 ppm). The standard error of the initial oxygen activity in the control group is 15.18 ppm, which is less than 0.1 of the mean value, and the 95% confidence interval of the mean value is (373.51 ppm, 434.91 ppm). The mean absolute deviations of the experimental group and the control group are 72.00 ppm and 66.15 ppm, respectively, with the experimental group being 109% of the control group, indicating a small difference in the degree of dispersion between the two groups.
Overall, the initial oxygen activity in the experimental group is marginally higher than in the control group.
Figure 17 illustrates the oxygen activity at the end of the RH process for both experimental and control groups. Following deoxidation with aluminum addition, the oxygen activity in the molten steel is generally below 10 ppm. The data distribution range of the experimental groups is generally narrower than that of the non-experimental groups. The end oxygen activity of the experimental groups predominantly ranges from 1.01 to 4.49 ppm, with a median of 1.01 ppm and an average of 2.90 ppm. In contrast, the control groups primarily range from 1.30 to 8.37 ppm, with a median of 4.83 ppm and an average of 5.25 ppm. Overall, the end oxygen activity in the experimental groups is reduced by an average of 2.35 ppm compared to the non-experimental groups, representing an approximate 50% decrease.
The standard error of the endpoint oxygen activity in the experimental group is 0.73 ppm, the ratio of the standard error to the mean is less than 0.3, and the 95% confidence interval of the mean is (1.35 ppm, 4.45 ppm). The standard error of the control group is 0.48 ppm, the ratio of the standard error to the mean is less than 0.1, and the 95% confidence interval is (4.28 ppm, 6.21 ppm). The mean absolute deviations of the experimental group and the control group are 2.53 ppm and 2.46 ppm, respectively. The mean absolute deviation of the experimental group is 103% of that of the control group, and the difference between the two is small.
By comparison, it is credible that the endpoint oxygen activity of the experimental group is lower than that of the control group.
A decrease in oxygen activity at the end of RH during the experimental groups, as indicated by the carbon–oxygen balance, leads to an increase in carbon content.
Figure 18 illustrates the carbon content at the end of RH. The end carbon content in the experimental groups predominantly ranges from 8.00 ppm to 18.00 ppm, with a mean of 13.00 ppm and a median of 12.5 ppm. In contrast, the control groups exhibit a range from 6.00 ppm to 16.00 ppm, with a mean of 11.13 ppm and a median of 10.00 ppm.
The standard error of the endpoint carbon activity in the experimental group is 1.58 ppm, which is less than 0.3 of the mean, and the 95% confidence interval of the mean is (9.67 ppm, 16.33 ppm). The standard error of the endpoint carbon activity in the control group is 0.95 ppm, which is less than 0.1 of the mean, and the 95% confidence interval of the mean is (9.20 ppm, 13.06 ppm). The mean absolute deviations of the experimental group and the control group are 5.44 ppm and 4.86 ppm, respectively. The experimental group is 111% of the control group, and the difference between the two is small.
It can be found that the RH endpoint carbon content of the experimental group is slightly higher than that of the control group.
Overall, the implementation of DLAI technology does not significantly affect the RH refining duration or the temperature decline. Within the same refining duration, the molten steel in the experimental group exhibits lower oxygen activity and higher carbon content at the conclusion of RH refining. This suggests that DLAI enhances oxidation reactions within the molten pool, likely because the bubble-driven removal of deoxidation products accelerates the deoxidation process.
In addition to the industrial data, the T.O. content in steel during the process from RH deoxidation to continuous casting is analyzed, as shown in
Figure 19a. The results indicate that the oxygen content in the molten steel for each heat exhibits a decreasing trend as the process progresses.
The reduction in T.O. in molten steel during the RH deoxidation process is compared, as shown in
Figure 19b. It is found that the oxygen reduction in the experimental groups (heats B~E) is all higher than that of the control group (heat A). Among them, heat D with an argon injection flow rate of 450 L/min had the highest oxygen reduction, reaching 0.0125%. This suggests that DLAI technology contributes to removing deoxidation products from the molten steel.
3.4. Effect of DLAI on Cold-Rolled Sheet Surface Quality
During the rolling process, the surface quality of the rolled plate may deteriorate due to defects caused by inclusions, scratches, and embedded foreign matter. The mass of the rolled plate removed due to defects is termed the downgrading weight, and the ratio of this weight to the slab’s total weight is the downgrading rate. The downgrading rate attributable to inclusion defects is termed the inclusion downgrading rate. This parameter is crucial for directly assessing the level of inclusion control in the slab. By comparing the inclusion downgrading rates of the control and experimental groups, the effect of the DLAI technology for controlling inclusions can be demonstrated.
To verify the accuracy of the surface quality detector in identifying inclusion defects on the surface of cold-rolled sheets, four cold-rolled sheets determined to have inclusion defects were obtained, and electron microscope scanning and EDS were used on the defective areas, as shown in
Figure 20. According to the energy spectrum components shown in
Table 4, it is shown that the surface defects of cold-rolled sheets No. 1, No. 3, and No. 4 are caused by alumina inclusions, and the defect of No. 2 is caused by slag entrainment. This indicates that the identification of inclusion defects by the surface inspection instrument is reliable.
The statistical results of the total weight, total downgrading weight, and total downgrading rate of the control group and the experimental group are shown in
Table 5. The downgrading rate of cold-rolled sheets in the experimental group was 5.07% lower than that in the control group, with a significant gap. However, the total weight of the control group is approximately 2.46 times that of the experimental group, indicating a moderate sample size imbalance. Statistical analysis is required to determine whether this imbalance has an impact on the results.
A significance test for differences between the two groups of data is conducted; a two-sample independent proportion two-tailed Z-test is used to verify whether there is a statistical difference in the total downgrading rates between the two groups. The test hypotheses are established as follows: the null hypothesis H0: there is no difference in the total downgrading rates between the two groups, and the alternative hypothesis H1: there is a difference in the total defect rates between the two groups, with a significance level α = 0.05.
The merged defect rate is calculated as:
where
is the downgrading weight of the control group,
is the downgrading weight of the experimental group,
is the total weight of the control group,
is the total weight of the experimental group.
The Z statistics are calculated as:
where
is the downgrading rate of the control group,
is the downgrading rate of the experimental group.
Critical values for a two-tailed test of the standard normal distribution Z0.05/2 = 1.96, and in this study, Z = 7.37 > 1.96, even Z > 3.29. Therefore, the probability of the null hypothesis H0 occurring is less than 0.001, so the alternative hypothesis H1 should be accepted, indicating that the difference in the total downgrading rate of cold-rolled sheets between the control group and the experimental group is extremely statistically significant. Therefore, although the samples of the experimental group and the control group are unbalanced, the results are not significantly affected.
The DLAI technology adopted in this study aims to reduce the amount of alumina in molten steel, thereby reducing the surface defects of cold-rolled sheets caused by alumina. However, the detection results of the surface quality detector do not specifically distinguish whether the defects are caused by slag or alumina. Therefore, when discussing the impact of DLAI technology on the defects of cold-rolled sheets, it is necessary to compare and explain the occurrence probability of slag entrainment defects between the experimental group and the control group.
The direct cause of slag entrainment is the fluctuation of the mold liquid level. The factory monitors the mold liquid level fluctuation in real-time. According to the amplitude and frequency of the liquid level fluctuation during the continuous casting process, the slabs are divided into four grades: a, b, c, and d, among which grade a has the smallest liquid level fluctuation and grade d has the largest. According to on-site data as shown in
Table 6, among the slabs in the experimental group, the proportions of grade a, b, c, and d slabs are 9.47%, 44.89%, 3.26%, and 42.39%, respectively. Among the slabs produced in the control group, the proportions are 9.75%, 48.59%, 1.45%, and 40.22%, respectively. Therefore, the proportions of grade a and b slabs in the experimental group are slightly lower, while those of grade c and d are slightly higher, but the overall difference is not significant. Under the premise of a large sample size, it can be considered that the probability of slag entrapment defects occurring in the two groups of cold-rolled sheets is basically the same. Therefore, it can be considered that the reason for the reduction in inclusion defects in the experimental group is the reduction in alumina in the molten steel.
For the comparison and analysis, slabs from both the control and experimental groups are classified into five grades: a, b, c, d, and e. This classification is based on the fact that the expected quality and cleanliness of grade a slabs are the highest and grade e the lowest. Different grades of slabs have corresponding detection standards for inclusion defects during the rolling process. Therefore, it is necessary to calculate the inclusion downgrading rates separately for slabs of each grade.
The downgrading rates of slabs in both experimental and control groups are illustrated in
Figure 21. It is indicated that the downgrading rates of slabs in the experimental group are consistently lower than the control group. Among these, the most significant reduction is observed in grade c slabs, with a downgrading rate decreasing by 10.5 percentage points. For grade a slabs, the downgrading rate in the experimental group decreased by 3.8%, effectively achieving ‘zero defect’ status. Compared to the control group, the total downgrading rate of the experimental group decreased by 5.07%.
The statistical comparison of the inclusion degrading rate produced under different argon blowing flow rates is conducted, as illustrated in
Figure 22. The results show that the inclusion downgrading rate initially decreases and then increases with increasing argon flow rate, reaching its minimum at flow rates of 300 L/min and 450 L/min. This phenomenon can be attributed to the fact that at low argon flow rates, fewer bubbles are generated, resulting in lower adhesion and removal efficiency for inclusions. Conversely, at higher flow rates, larger bubbles are produced, which reduce the adhesion and removal efficiency for small inclusions [
35,
36,
37], thereby diminishing the improvement of steel cleanliness. Therefore, argon flow rates of 300 L/min and 450 L/min are considered more appropriate for the downcomer.
Overall, DLAI technology significantly enhanced the effectiveness of inclusion removal in IF steel, with optimal results observed at gas flow rates between 300 and 450 L/min.