10
2524 ISIJ International, Vol. 61 (2021), No. 10, pp. 2524–2533 https://doi.org/10.2355/isijinternational.ISIJINT-2021-206 * Corresponding author: E-mail: [email protected] © 2021 The Iron and Steel Institute of Japan. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs license (https://creativecommons.org/licenses/by-nc-nd/4.0/). 1. Introduction Recently, there have been an increasing global demand for the high-performance products of carbon steel. Some properties of the carbon steel final product are affected by the quality of continuous cast slabs. Therefore, it is necessary to refine the microstructure and fine inclusions for improving the quality of these slabs, and to minimize microsegregation during solidification. Heterogeneous nucleation is one of the most effective methods to refine inclusions. 1–3) The nucleus is dispersed finely in molten steel and the inclusion generates on this nucleus heterogeneously. It is important to generate a het- erogeneous nucleus with micro/nanoscale and disperse that nucleus under high density, without using expensive rare metals. Previous study 4) reported that the refinement of TiN inclu- sion is possible using heterogeneous nucleation. Further, magnesium oxide is a suitable heterogeneous nucleus for TiN. 5–9) Although several studies 10–13) have investigated magne- sium vapor injection into molten steel and molten iron, these studies are limited to the batch process in a crucible or a ladle. The continuous injection of magnesium vapor into molten steel under continuous casting condition have not been investigated and reported. Control of Heterogeneous Nucleation in Carbon Steel by Magnesium Vapor Injection during Continuous Casting Hideo MIZUKAMI 1) * and Mitsuhiro NUMATA 2) 1) Steel Research Laboratories, Research & Development Bureau, Nippon Steel Corporation, 2-12-1 Minato, Joetsu, Niigata, 942-8510 Japan. 2) Head Office, Nippon Steel Corporation, 2-6-1 Marunouchi, Chiyoda-ku, Tokyo, 100-8071 Japan. (Received on May 13, 2021; accepted on June 30, 2021) The behavior of magnesium vapor injected in the molten steel and the potential of magnesium vapor for the miniaturization of TiN were evaluated via continuous casting experiments. The position where magnesium vapor should be injected was determined through a non-steady state three-dimensional numerical simulation for molten steel flow in a tundish. The yield of magnesium in the molten steel was changed by the injection position. A high additive yield was achieved when magnesium vapor was injected between the immersion nozzle and the narrow wall of the tundish. The concentration of the soluble mag- nesium was maintained using a novel method that continuously added magnesium vapor into the molten steel in the tundish, which also ensured stable miniaturization of TiN. KEY WORDS: magnesium; vapor; heterogeneous nucleation; continuous casting; molten steel. When magnesium injection into molten pig iron is stopped, the concentration of magnesium in the molten pig iron decreases with time because of the evaporation of magnesium. 14) To generate continuously fine inclusions, it is important to maintain the concentration of magnesium in molten steel. The continuous injection of magnesium vapor into molten steel in the tundish and the solidification of magnesium oxide as a slab is an effective method to finely disperse magnesium oxide in the continuously cast slab. However, this method was not used in previous studies. Further, molten steel flow in the tundish is complex. It is necessary to select the position for injecting magnesium into molten steel at a high yield ratio. Therefore, this study employs a numerical simulation for molten steel flow in the tundish to determine the position of the magnesium vapor injection. Further, the effect of magnesium vapor injection into molten steel in the tundish is evaluated via an experiment using a continuous cast test machine. 2. Characteristics of Magnesium Vapor Injection into Molten Steel In a previous study, 4) the authors used a Tammann fur- nace and a high-frequency induction furnace and obtained the following insights. The reaction between magnesium and oxygen is given as follows. 15–17)

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Page 1: Control of Heterogeneous Nucleation in Carbon Steel by

2524

ISIJ International, Vol. 61 (2021), No. 10, pp. 2524–2533

https://doi.org/10.2355/isijinternational.ISIJINT-2021-206

* Corresponding author: E-mail: [email protected]

© 2021 The Iron and Steel Institute of Japan. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs license (https://creativecommons.org/licenses/by-nc-nd/4.0/).

1. Introduction

Recently, there have been an increasing global demand for the high-performance products of carbon steel. Some properties of the carbon steel final product are affected by the quality of continuous cast slabs. Therefore, it is necessary to refine the microstructure and fine inclusions for improving the quality of these slabs, and to minimize microsegregation during solidification.

Heterogeneous nucleation is one of the most effective methods to refine inclusions.1–3) The nucleus is dispersed finely in molten steel and the inclusion generates on this nucleus heterogeneously. It is important to generate a het-erogeneous nucleus with micro/nanoscale and disperse that nucleus under high density, without using expensive rare metals.

Previous study4) reported that the refinement of TiN inclu-sion is possible using heterogeneous nucleation. Further, magnesium oxide is a suitable heterogeneous nucleus for TiN.5–9)

Although several studies10–13) have investigated magne-sium vapor injection into molten steel and molten iron, these studies are limited to the batch process in a crucible or a ladle. The continuous injection of magnesium vapor into molten steel under continuous casting condition have not been investigated and reported.

Control of Heterogeneous Nucleation in Carbon Steel by Magnesium Vapor Injection during Continuous Casting

Hideo MIZUKAMI1)* and Mitsuhiro NUMATA2)

1) Steel Research Laboratories, Research & Development Bureau, Nippon Steel Corporation, 2-12-1 Minato, Joetsu, Niigata, 942-8510 Japan.2) Head Office, Nippon Steel Corporation, 2-6-1 Marunouchi, Chiyoda-ku, Tokyo, 100-8071 Japan.

(Received on May 13, 2021; accepted on June 30, 2021)

The behavior of magnesium vapor injected in the molten steel and the potential of magnesium vapor for the miniaturization of TiN were evaluated via continuous casting experiments. The position where magnesium vapor should be injected was determined through a non-steady state three-dimensional numerical simulation for molten steel flow in a tundish. The yield of magnesium in the molten steel was changed by the injection position. A high additive yield was achieved when magnesium vapor was injected between the immersion nozzle and the narrow wall of the tundish. The concentration of the soluble mag-nesium was maintained using a novel method that continuously added magnesium vapor into the molten steel in the tundish, which also ensured stable miniaturization of TiN.

KEY WORDS: magnesium; vapor; heterogeneous nucleation; continuous casting; molten steel.

When magnesium injection into molten pig iron is stopped, the concentration of magnesium in the molten pig iron decreases with time because of the evaporation of magnesium.14) To generate continuously fine inclusions, it is important to maintain the concentration of magnesium in molten steel. The continuous injection of magnesium vapor into molten steel in the tundish and the solidification of magnesium oxide as a slab is an effective method to finely disperse magnesium oxide in the continuously cast slab. However, this method was not used in previous studies.

Further, molten steel flow in the tundish is complex. It is necessary to select the position for injecting magnesium into molten steel at a high yield ratio.

Therefore, this study employs a numerical simulation for molten steel flow in the tundish to determine the position of the magnesium vapor injection. Further, the effect of magnesium vapor injection into molten steel in the tundish is evaluated via an experiment using a continuous cast test machine.

2. Characteristics of Magnesium Vapor Injection into Molten Steel

In a previous study,4) the authors used a Tammann fur-nace and a high-frequency induction furnace and obtained the following insights.

The reaction between magnesium and oxygen is given as follows.15–17)

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Mg g Mg� � � .............................. (1)

Mg O MgO� � ............................. (2)

KP a

aP a aMg O

MgOMg O MgO�

�� � �, .1 0 ............. (3)

Here, PMg: vapor pressure, ao: activity of oxygen, K: equi-librium constant, and aMgO: activity of magnesium oxide. In Eq. (3), PMg or ao becomes a governing factor depending on the method used to inject into molten steel. When a lump of magnesium is added into molten steel, the concentration of magnesium is determined using ao and K. When the magnesium vapor injects into the molten steel, PMg becomes the governing factor and the effect of ao reduces. Therefore, magnesium concentration in molten steel is increased by vapor injection. The reaction that progresses is balanced; however, it changes after vapor injection because of the variation in PMg. Further, K can be changed arbitrarily by changing PMg.

The PMg and K of magnesium have been studied previ-ously,18) and the value of K is 0.023 at 1 873 K. In this study, this value of K is used to determine the magnesium concentration.

Figure 1 shows the relationship between the concentra-tion and partial pressure of magnesium. The arrows indicate the range of magnesium concentration in vapor injection and lump addition. Since the concentration of magnesium is higher in vapor injection than that in lump addition, the partial pressure of magnesium is also higher. Since vapor injection into molten steel increases the partial pressure of magnesium, it is confirmed that vapor injection changes the chemical reaction actively.

3. Analysis of Molten Steel Flow in the Tundish

Magnesium evaporates easily from molten steel because the evaporation temperature of magnesium is lower than that of molten steel and the vapor pressure is high. An effective approach to prevent magnesium from evaporating is to inject it into molten steel in the tundish and allow it to solidify rapidly in the continuous casting mold. Because

the magnesium oxides remain in molten steel for a shorter time, it is therefore necessary to avoid the coarsening and coagulation of these oxides.

Further, if molten steel is poured into the mold from the ladle, the flow in the tundish becomes complex. Therefore, it is important to select the position of magnesium vapor injection in the tundish for pouring molten steel containing magnesium into the continuous casting mold.

Numerical simulation is employed for fluid flow in the tundish to change the position of magnesium vapor injec-tion. Magnesium concentration at the top of the immersion nozzle is predicted to change with the position of magne-sium vapor injection. These results indicate that the position of magnesium vapor injection for which the additive yield of magnesium becomes the highest is selected.

A non-steady three-dimensional numerical simulation of molten steel flow is employed to analyze magnesium vapor injected in the molten steel. The turbulent flow is evaluated using the large eddy simulation method.19–22)

Figure 2 shows a schematic of the numerical simulation model. The shape of the tundish is assumed to be rectan-gular; molten steel poured into the tundish from the ladle flows into the immersion nozzle. Although a small amount of argon gas is fed to the immersion lance, it is assumed that only magnesium vapor is fed to the lance for simplifying the numerical simulation. The positions of magnesium injection are set at A, B and C, as shown in Fig. 2.

The following equations are used in the numerical simu-lation.

Equation of continuity;

��

�u

xi

i

0 .................................... (4)

Equation of energy;

��

�� � ��

���

���

��

��

T

t

u T

x

k

C x

T

x

i

i p i j� ................. (5)

Equation of diffusion;

Fig. 1. Relationship between concentration and partial pressure of magnesium.

Fig. 2. Numerical simulation model for molten steel flow in the tundish of the continuous casting machine. A, B C are the position of magnesium vapor injection, respectively.

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��

���

���

�����

���

C

tu

C

x xD

C

xi

i ieff

i ................... (6)

Equation of momentum;

��

���

� � �

���

���

��

���

��

�� � �

u

t xu u

p

x x

u

x

u

xT T

i

ii j

i ieff

i

j

j

i

1

�� � LL g� �

...... (7)

� � �eff t eff tD D D� � � �0 0 .................. (8)

Su

x

u

xij

i

j

j

i

���

���

��

��

1

2 .......................... (9)

�t S S

ij ji

C S x y z C

S S S

� � � � � � �

� � �

� � � � �21

3

1

2

1 0

2

. ..... (10)

DSc

Sctt��

��

�1 0. ...................... (11)

Here, T: temperature (K), TL: liquidus temperature (K), TS: solidus temperature (K), k: thermal conductivity (Wm −1K −1), ρ: density (kg·m −3), ΔH: latent heat (J·kg −1), Cp : specific heat (J·kg −1·K −1), f: solid fraction (− ), t: time (s), ui: flow velocity in direction i (ms −1), p: pressure (Pa), β: thermal expansion coefficient, C: concentration of mag-nesium (mass%), D0: diffusion coefficient of magnesium (m2s −1), μ0: viscosity (Pa·s) and g: acceleration of gravity (ms −2). The physical properties are listed in Table 1.

The density of the molten steel is obtained using the fol-

lowing equation obtained from the experiment.23)

� � � � �� �� �� �7 02 7 50 10 104 3 3. . T T kg mL ..... (12)

Molten steel at a temperature of 1 873 K is fed into the tundish from the ladle at a flow velocity of 2.3×10 −2 ms −1 which corresponds to the casting speed. The molten steel in the tundish is assumed to flow to the immersion nozzle under the natural flow condition at a pressure of 0 Pa. A slip boundary condition between the molten steel and tundish wall is assumed.

The meniscus in the tundish is surrounded with argon gas under atmospheric pressure. It is necessary to consider the evaporation behavior of magnesium on the meniscus of mol-ten steel in the tundish because magnesium can evaporate easily from molten steel. Further, to evaluate the amount of magnesium evaporated from molten steel, it is necessary to predict the mass transfer coefficient of magnesium between the meniscus and the atmosphere. In this study, the mass transfer coefficient is obtained experimentally.

4. Experimental Procedures

4.1. Experiment Using the High-Frequency Induction Furnace in the Vacuum Vessel

Magnesium can evaporate when magnesium dissolved in molten steel reaches the meniscus in the tundish. The amount of evaporated magnesium can be calculated using the mass transfer coefficient at the interface between the molten steel and the atmosphere. In this study, the mass transfer coefficient of magnesium was evaluated using the method employed in a previous study14) for molten pig iron.

After stopping magnesium vapor injection into the molten pig iron, the change in the concentration of magnesium with time can be expressed as

C Ck

HtMg� ��

��

���max exp ...................... (13)

where, C: magnesium concentration (mass%), Cmax: maxi-mum concentration of magnesium when injection of magne-sium vapor stopped (mass%), kMg: mass transfer coefficient of magnesium (m·s −1), H: depth of molten steel and t: time (s).

Assuming Eq. (13) can be applied to molten steel, the mass transfer coefficient is evaluated from the experiment results obtained using a high-frequency induction furnace.

The high-frequency induction furnace was set in the vacuum vessel. The vessel was exhausted to vacuum, and then, it was filled with argon gas at a pressure of 9.9×10 −2 MPa below atmospheric pressure. The electrolytic iron and alloying metal were set in an MgO crucible and melted by induction heating. The chemical composition of the sample of 200 kg was Fe-0.06mass%C-0.95mass%Si-1.3mass%Mn-0.15mass%Al-0.16mass%Ti-0.038mass%O-0.0057mass%N. The temperature of molten steel was adjusted to 1 873 K ± 5 K. The immersion lance is made of Mo–ZrO2 cermet with an external diameter of 2.5×10 −2 m, an internal diameter of 1.0×10 −2 m and a length of 3.0×10 −1 m. The range of 1.0×10 −1 m from the end of the lance was immersed in the molten steel and heated. During and after injection of magnesium vapor, a sample for the analysis of magnesium concentration was

Table 1. Physical properties for calculation.

symbol property value ref.

ρAr density of an argon gas 1.78 (kgm −3) 26)

kArthermal conductivity of an argon gas 5.0×10 −2 (Jm −1s −1K−1) 26)

μAr viscosity of an argon gas 7.6×10 −7 (kgm −1s −1) 27)

Cp,Ar specific heat of an argon gas 5.22×10 − 4 (Jkg −1K−1) 24)

Tmmelting temperature of magnesium 922 (K) 26)

Tbboiling temperature of magnesium 1 363 (K) 26)

M molar weight of magnesium 2.43×10 −2 (kgmol −1) 26)

ρ density of magnesium 1.74×103 (kgm −3) 26)

k thermal conductivity of magnesium 1.0×102 (Jm −1s −1K−1) 26)

D0diffusion coefficient of magnesium 3.0×10 − 9m2s −1 10)

Cp specific heat of magnesium 1.36×103 (Jkg −1K−1) 26)

ΔH heat of fusion of magnesium 1.07×102 (Jkg −1) 26)

ΔHvheat of evaporation of magnesium 1.54×103 (Jkg −1) 26)

μ0 viscosity of molten steel 6.1×10 −3(kgm −1s −1) 28)

R gas constant 8.314 (JK−1mol −1) 26)

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obtained from the molten steel by using the immersion bomb sampler made of steel.

4.2. Advancing Condition of Magnesium WireIt is necessary to examine the advancing conditions of

a magnesium wire to generate magnesium vapor in the immersion lance. The relationship between the temperature and the advancing speed of magnesium wire into the lance was simulated through the heat transfer calculation.

The lance is heated to 1 873 K by molten steel at the end of the distance of 1.0×10 −1 m. The magnesium wire advanced in the lance is vaporized by the heat of radiation.

The decrease in temperature caused by the flow of argon gas is determined by the heat transfer boundary condition from the Nusselt number.24)

Nu

hd

k

d

LAr

� � � � ����

���1 86

1

3. Re Pr .............. (14)

Re , Pr ,� �u d C

kAr

Ar

Ar p Ar

Ar

��

� ................. (15)

Here, d: inner diameter of lance (m), L: length of lance (m), u: flow rate of an argon gas in lance (ms −1), ρAr: den-sity of an argon gas (kgm −3), kAr: thermal conductivity of an argon gas (Jm −1s −1K −1), μAr: viscosity of an argon gas (kgm −1s −1), Cp,Ar: specific heat of an argon gas (Jkg −1K −1).

In addition, the high-temperature physical properties required in the heat transfer calculation are listed in Table 1.

4.3. Continuous Casting TestFigure 3 shows the schematic of the experimental appa-

ratus for continuous casting. The position of the tip of injec-tion lance in the tundish was fixed based on the result of the numerical simulation; magnesium vapor was injected into the molten steel. Further, 2.4×103 kg molten steel was used

for the continuous casting test. The composition of steel is listed in Table 2. Electrolytic iron of low S grade and alloying materials were melted in the high-frequency induc-tion furnace under argon gas atmosphere. The molten steel in the furnace was poured into the ladle. After moving the ladle on the tundish of the continuous casting machine, the molten steel was poured into the tundish from the bottom of the ladle. After the molten steel in the tundish reached a predetermined amount, the stopper on the immersion nozzle was moved upwards and the molten steel was poured into the mold and the casting was started. The amount of molten steel poured through the immersion nozzle was controlled to maintain the meniscus level in the mold, which changed with the opening space of the sliding gate based on the output of the eddy current sensor.

Magnesium vapor was injected into the molten steel from the end of the lance. The slab was 0.8 m wide and 0.1 m thick, and the casting speed was 0.8 ms −1. When the yield ratio of magnesium vapor was assumed to be 100%, magnesium concentration in the molten steel was 5.5×10 −3 mass%. The feeder of the magnesium wire was composed of a wire reel of magnesium, servomotor and speed meter, and it was set in the vessel under argon gas atmosphere. The lance was connected to the vessel using a flexible hose made of stainless steel. The flow rate of argon gas in the lance was adjusted to 1.0×10 −6 m3 s −1 by control-ling the flow rate of argon gas fed into the vessel. When a large amount of argon gas is fed into the lance, the yield of magnesium seemed to decrease because of floatation with argon gas. However, it is though that the decrease in the yield of magnesium caused by the flow of argon gas is small under the experimental condition because a tiny amount of argon gas is fed into the lance.

The injection of magnesium vapor started at a length of 1.0 m of the slab and stopped at 2.4 m. By locating the starting and stopping positions of magnesium vapor injec-tion into the molten steel, the change in magnesium con-centration in the slab was evaluated. The injection period of magnesium vapor was 105 s. The magnesium concentration was evaluated by the chemical analysis of the samples that were obtained by drilling from the surface to a depth of 1.0×10 −2 m.

5. Results and Discussion

5.1. Experiment Using the High-Frequency Induction Furnace in the Vacuum Vessel

Figure 4 shows the analytical result of magnesium con-centration. While magnesium vapor was injected continu-ously, the concentration of magnesium in the molten steel increased with time. After stopping the injection of magne-sium vapor, a concentration of magnesium decreased gradu-ally. It was assumed that the concentration of magnesium in the molten steel could be obtained using Eq. (13) after stopping magnesium vapor injection. The results of this experiment indicate that the mass transfer coefficient was 5.1×10 −3 m·s −1. Using this value, the amount of evaporated magnesium at the meniscus in the tundish was predicted.

Fig. 3. Schematic diagram of experimental setup for Mg injection into molten steel in the tundish of the continuous machine.

Table 2. Chemical composition of sample (mass%).

C Si Mn P S Al Ti O N

0.15 0.16 1.50 0.012 0.004 0.040 0.026 0.0040 0.0044

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5.2. Numerical Simulation of Molten Steel Flow in the Tundish

It is important to understand the molten steel flow in the tundish to evaluate the behavior of magnesium injected in molten steel. Therefore, the streamline of the molten steel poured in the tundish from the ladle was simulated numeri-cally.

Figure 5 shows the streamline of the molten steel in the tundish after 60 s of continuous casting without magnesium vapor injection.

The molten steel flow poured from the ladle reached the bottom of the tundish and turned around. Then, the flow spread in several directions inside the tundish, the downflow moved toward the immersion nozzle near the bottom wall of the tundish (streamline P); toward the side wall of the tundish; and then it turned in the direction of the meniscus (streamline Q); Further, the flow then moved toward the immersion nozzle near the narrow wall (streamline R) and the circulating flow near the narrow wall (streamline S).

Figure 6 shows the behavior of molten steel flow and the concentration distribution of magnesium in the tundish. The positions of magnesium injection are A, B and C as shown in Fig. 2. The molten steel flow shows the result at 60 s after the start of continuous casting. The concentration distribution of magnesium shows the result at 5 s after the beginning of injection.

Figures 6(a) and 6(b) show the results of the numerical simulation for the molten steel flow shown in the arrow without magnesium vapor injection.

Figure 6(a) shows the molten steel flow at the cross sec-tion of the center of the tundish width. The molten steel flow from the ladle reached the bottom of the tundish and turned to the narrow wall, immersion nozzle and meniscus.

Figure 6(b) shows the molten steel flow at the cross sec-tion of the center of the tundish height. The molten steel flow was generated in both the longitudinal and latitudinal directions.

Figures 6(c) and 6(d) show the behavior of diffusion for magnesium when magnesium vapor is injected at posi-tion A. The region of molten steel that contained magne-sium is shown in grey, ant it is divided into 10, 20, 30, 40×10 −4 mass%.

Figure 6(c) shows the concentration distribution of magnesium at the cross section of the center of the tundish width. The molten steel that was contained magnesium flows toward the immersion nozzle.

Figure 6(d) shows the concentration distribution of magnesium at the cross section of the center of the tundish height. The molten steel with magnesium flows toward the immersion nozzle.

Figures 6(e) and 6(f) show the concentration distribution of magnesium when magnesium vapor is injected at posi-tion B.

Figure 6(e) shows the concentration distribution of magnesium at the cross section of the center of the tundish

Fig. 5. Streamline of molten steel flow in the tundish without magnesium vapor. (Online version in color.)

Fig. 4. The change of magnesium concentration with time in the molten steel. The equation expresses the magnesium con-centration after stopping of magnesium vapor injection.

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width. The molten steel that contained magnesium flows in the direction of the meniscus, ladle side, and slightly in the direction of the immersion nozzle.

Figure 6(f) shows the diffused region of magnesium at the cross section of the center of the tundish height. The molten steel flows toward one side of the tundish wall besides the immersion nozzle and ladle side.

Figures 6(g) and 6(h) show the concentration distribu-tion of magnesium when magnesium vapor is injected at position C.

Figure 6(g) shows the molten steel flow that contained

magnesium at the cross section of the center of the tundish width. The molten steel with magnesium flows toward the direction of both the immersion nozzle and ladle side.

Figure 6(h) shows the flow of molten steel with magne-sium at the cross section of the center of the tundish height. The molten steel with magnesium flows in the direction of the immersion nozzle, wall side, and ladle side.

When magnesium vapor is injected at position A in the tundish, a large amount of the molten steel with magnesium flows in the direction of the immersion nozzle.

Figure 7 shows the ratio of magnesium concentration

Fig. 6. Fluid flow of molten steel and concentration distribution of magnesium in the longitudinal and transverse cross section of the tundish at 5 s after magnesium injection.

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after 30 s of magnesium vapor injection into molten steel. This ratio was defined as the concentration at the joint part divided by the concentration at the injection lance. The larger the concentration ratio, the higher is the additive yield of magnesium.

Magnesium vapor is injected at positions A, B, and C, as shown in Fig. 2. The concentration ratio changes based on the position of magnesium vapor injection.

For position A, the concentration ratio was about 0.6, and its deviation was small. The concentration ratio deviates because of the non-steady state numerical simulation for the molten steel flow. Using this simulation, the velocity and direction of molten steel flow in the tundish changes consistently with time. For position B, the concentration ratio is 0.2 and the additive yield is small. The deviation of the concentration ratio is large because the change in the velocity of the molten steel flow at the injecting position is large. When magnesium vapor is injected at position C, the concentration ratio is 0.4 and its deviation is slightly large.

The results of the numerical simulations indicated that the concentration ratio at position A was the largest in the three cases Therefore, position A was selected as the position of magnesium vapor injection in the continuous casting test.

For position A, it is thought that the concentration dis-tribution of magnesium in the continuously cast slab is negligible because the deviation of the concentration ratio at the top of the immersion nozzle is slightly. However, for position B and C, it is thought that the concentration distribution in the slab is large because the deviation of the concentration ratio is large.

5.3. Feeding Condition of Magnesium WireThe temperature change in the magnesium wire advanced

in the immersion lance was predicted by the heat transfer calculation.

Figure 8 shows the relationship between the distance from the lance and the advancing velocity of wire when the temperature of the magnesium wire core reaches 1 373 K, thereby exceeding its boiling temperature. The higher the advancing velocity of the wire, the longer is the distance for the generation of magnesium vapor in the lance. The immersion depth of the lance in the continuous casting test was 1.0×10 −1 m. It is necessary to decrease the advancing velocity of wire below 6.0×10 −2 ms −1. In this experiment,

Fig. 7. The ratio of output to input for magnesium concentration at 30 s just after injecting magnesium vapor. The flow rate of argon gas in the lance: 1.0×10 − 6 m3s −1.

Fig. 8. The relationship between distance from lance entrance where Mg wire reaches 1 373 K and Mg wire advancing speed.

Fig. 9. The calculated temperature profile in the core of magne-sium wire in the lance.

the insertion length of wire into the lance was reduced to less than one third of the total length of lance by adjusting the velocity to 1.7×10 −2 ms −1.

Figure 9 shows the change in the core temperature of the wire based on the distance from the entrance of lance when the advancing velocity is 1.7×10 −2 ms −1. It was confirmed that the temperature of the magnesium wire, which was advanced in the lance, increased with an increasing distance from the entrance, and it reached the boiling temperature of magnesium at approximately 3.0×10 −2 m; then, it generated magnesium vapor.

5.4. Continuous Casting TestThe relationship between magnesium concentration and

the injection timing of magnesium vapor into molten steel in the continuously cast slab is determined.

Figure 10 shows the result of the chemical analysis of the total magnesium, the soluble magnesium and total oxygen in the slab. When magnesium vapor was injected into molten steel, there was no splash. Hence, it was possible to inject magnesium vapor efficiently.

The concentration of both soluble magnesium and insoluble magnesium was measured using the method employed in a previous study.29) The sample of 0.5 g was dissolved using a solvent that was synthesized by mixing 20 mL triethanolamine, 1 000 mL methanol, 1.0×10 −2 kg

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tetramethylammonium chloride, and 1.0×10 −4 kg Ba. This solution was filtered by using a membrane filter of open pore of 1×10 −6 m. The solution and the residue on a mem-brane filter were analyzed by using inductively coupled plasma (ICP).

The magnesium concentration in the solution corresponds to the soluble magnesium and the magnesium concentration in residue corresponds to insoluble magnesium. The total magnesium is equal to the sum of soluble and insoluble of magnesium.

The concentration of the total magnesium and soluble magnesium in the slab increased with an increase in the casting length after magnesium vapor injection.

The increase in the total magnesium concentration after injecting magnesium vapor is attribute to molten steel with magnesium being mixed with molten steel without magne-sium. The total magnesium concentration after stopping the flow of magnesium vapor decreased because molten steel without magnesium was mixed with the molten steel with magnesium in the mold.

The ratio of the chemical analysis of magnesium concen-tration to the additive concentration is evaluated as shown in Fig. 7. That ratio obtained from the casting test was almost the same as that of the numerical simulation. The yield of magnesium in this experiment was as high as 60%, which is better than that of the conventional method.

The change in the soluble magnesium was different from that of the total magnesium, and it exhibited a constant value of 1.1×10 −4 mass% after the injection of magnesium

vapor. The concentration of the soluble magnesium in mol-ten steel is determined by the balance of injection rate of magnesium vapor and evaporation rate of magnesium. As a result, the concentration of soluble magnesium became 1.1×10 −4 mass%. The total magnesium reflects the compo-sition of inclusion. Because the concentration of magnesium in the inclusion increased, it is thought that the total mag-nesium also increased.

The total oxygen shows the amount of the inclusion. Because the total oxygen was not soluble oxygen, it is thought that effect of magnesium deoxidation on the total oxygen was not able to be observed.

A slab of length 1 m was required when the concentration of total magnesium reached a constant value or a maxi-mum value. However, in case of the soluble magnesium, this length was shorter at approximately 0.25 m. It was understood that the soluble magnesium was controlled eas-ily. The analysis of the results of the numerical simulation indicated that molten steel injected with magnesium vapor, was poured in the mold immediately. By changing the injec-tion rate of magnesium vapor in continuous casting, it was possible to control magnesium concentration in the slab. It is expected that magnesium vapor injection will become a new process to control magnesium concentration in the slab.

5.5. TiN in the Continuously Cast SlabMagnesium oxide behaves similar to an effective het-

erogeneous nucleus of TiN. In this study, the continuous casting test was conducted using molten steel with a high concentration of titanium. Then, the behavior of the het-erogeneous nucleation of TiN on magnesium oxide was examined after magnesium vapor injection into molten steel.

The square samples of 2.0×10 −2 m on one side were obtained from the slab at the center of the width and at a quarter thickness where magnesium vapor was injected. The samples were polished similar to mirror planes using an abrasive diamond compound 1 μm in diameter. Aabsolute alcohol was used as a lubricating liquid to polish the sam-ples and inclusions were prevented from solving to water. The polished face of the samples was then etched with controlled potential electrolysis and TiN was introduced. The TiN was observed using FE-SEM with EDS. The sol-vent25) was synthesized by mixing 20 mL triethanolamine, 1 000 mL methanol, 1.0×10 −2 kg tetramethylammonium chloride, and 1.0×10 −4 kg Ba. The favorable electrolyte conditions were a voltage of 150 mV and an electric charge of 150C.

Figure 11 shows the FE-SEM image of TiN and magne-sium oxide when magnesium vapor was injected into molten steel. From the result of the EDS analysis, the substance that existed in the core of the cubic TiN was spinel MgO·Al2O3.

In the previous study,7) it has been clarified that the spinel had the effect of heterogeneous nucleation. Moreover, it has been clarified that the spinel was generated at 0.04 mass% of aluminum concentration.30)

The spinel became the heterogeneous nucleus of TiN similar to that in the previous studies.5–9)

Figure 12 shows the relationship between the size of TiN and the distance from the bottom of the slab. The length of height and wide of hundred TiN on the sample surface were observed by using FE-SEM and the average size of

Fig. 10. Relationship between (a) total magnesium and total oxy-gen concentration, (b) soluble magnesium concentration and distance from slab edge.

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TiN was obtained. Figure 10 shows that the TiN became smaller within the range of the soluble magnesium concen-tration and reached 1.1×10 −4 mass%. The minimum size of TiN was about 200 nm. When magnesium concentration in the slab was less than 1.1×10 −4 mass%, the size of TiN did not change before and after injecting magnesium vapor into the molten steel. When the spinel that plays a hetero-geneous nucleus for TiN is used efficiently, it is important for the soluble magnesium concentration; however, the total magnesium concentration in the molten steel is increased by more than approximately 1.1×10 −4 mass%.

It seems that the size of the spinel generated in the molten steel is small because magnesium vapor is a fine particle.

When the size of a spinel is fine under the constant con-centration of the soluble magnesium, the number of spinel becomes large. When the TiN nucleates around the spinel that behaves as a heterogeneous nucleus, the number of TiN increases and the size of TiN decreases.

As stated above, when magnesium vapor is added to molten steel, fine magnesium oxides are generated in the molten steel. TiN is generated heterogeneously on magne-sium oxide and TiN in the continuous cast slab becomes fine when magnesium vapor is injected into the molten steel in the tundish.

The technique for injecting the metallic vapor into molten steel can thus be considered a new method for generating the inclusions and for fulfilling the demands of high perfor-mance for steel products.

6. Conclusions

Recently, high-performance products of carbon steel are demanded worldwide. Some properties of final carbon steel products are occasionally affected by the quality of steel slabs. Hence, the control of inclusions becomes important. The heterogeneous nucleus can generate the required inclu-sions.

In this study, the relationship between the generation behavior of TiN and magnesium vapor was clarified. From the continuous casting test machine, the following conclu-sions were obtained.

(1) Magnesium vapor injection into molten steel can increase the partial pressure of magnesium in the equilib-

Fig. 11. The photograph of TiN with spinel by FE-SEM and EDS.

Fig. 12. The relationship between average size of TiN and dis-tance from slab bottom.

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rium reaction, and it is possible to achieve high concentra-tion and a high yield of magnesium in molten steel simulta-neously. When the experiment with the continuous casting test machine was conducted, it was clarified that magnesium concentration in the molten steel can be controlled by changing the amount of magnesium vapor.

(2) When magnesium vapor is injected into molten steel in the tundish and casted, the heterogeneous nucleus of TiN can be generated. Under the experimental conditions, the spinel MgO·Al2O3 behaves as the heterogeneous nucleus of TiN. The concentration of the soluble magnesium required for generating this nucleus is approximately 1.1×10 −4 mass%.

(3) It is necessary to optimize the position of magne-sium injection in the tundish to increase the additive yield of magnesium in molten steel. When magnesium vapor is injected at the position between the immersion nozzle and the narrow wall of the tundish, the additive yield of magne-sium in the molten steel becomes large.

(4) In the continuous casting process, it is possible to use small amounts of vapor of additional metallic elements and inject this vapor into molten steel in the tundish. This method can be a new technique for the addition of a metallic element into molten steel.

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