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Article

Simulation of Fluid Flow and Inclusion Removal in Five-Flow T-Type Tundishes with Porous Baffle Walls

1
Technology Innovation Center for High Quality Cold Heading Steel of Hebei Province, Department of Materials Science and Engineering, Hebei University of Engineering, Handan 056000, China
2
Warwick Manufacturing Group, The University of Warwick, Coventry CV4 7AL, UK
3
Department of Metallurgy, Taiyuan University of Technology, Taiyuan 030024, China
*
Author to whom correspondence should be addressed.
Metals 2023, 13(2), 215; https://doi.org/10.3390/met13020215
Submission received: 1 December 2022 / Revised: 17 January 2023 / Accepted: 20 January 2023 / Published: 23 January 2023
(This article belongs to the Special Issue Advanced Tundish Metallurgy and Clean Steel Technology)

Abstract

:
To solve the instability of liquid steel in the continuous casting process and the inconsistent flaw detection of heavy rail steel, steel flow control was studied numerically in a tundish with a porous baffle wall by using the fluid dynamics software Fluent. The opening plan of the baffle wall was improved through orthogonal optimization of the design of the holes in the porous baffle wall. The test condition was set to a left inclination angle of α1 = 22°, a right inclination angle of α2 = 48°, an upward elevation angle of β = 30°, and an aperture of d = 70 mm. The simulation results of the optimization scheme showed that the uniformity of the flow and temperature fields had been significantly improved, and the flow in each strand became consistent. The maximum temperature difference was 21 K in the tundish, and the maximum temperature difference of three outlets was only 1.7 K. Dead zone volume was reduced by 10.0% compared to the original tundish, and plug flow volume was increased by 14.2%. Comparing the removal efficiency of Al2O3 inclusions of different size, the results showed that the removal efficiency of 10 μm and 30 μm smaller inclusions was above 87%. The removal rate of ≥50 μm larger inclusions also remained about 95%.

1. Introduction

In the continuous casting process, the tundish not only plays a role in storage, the buffering and diverting of molten steel, and continuous casting, but also plays an important role by preventing slag from entering the mold, homogenizing temperature and steel composition, and improving the removal rate of non-metallic inclusions in steel [1,2,3,4]. With improvements in CFD (computational fluid dynamics) software and the enhancement of computing capacity, numerical simulation occupies an increasingly important position in continuous casting [5,6] and provides a lot of convenience for related fields, which has thus led to it being favored by many scholars. Chen et al. reported on the mathematical modeling of different tracers in a casting tundish [7,8,9,10]. Holzinger showed flow interaction in a casting tundish due to bubble curtain operation [11], and Cwudzinski introduced the physical and mathematical modeling of the behavior of bubble plumes in a one-strand tundish [12]. In order to improve the quality of molten steel, Chang et al. pointed out that the modeling of inclusion removal using micro-bubble swarms in a full-scale tundish is very useful [13]. In recent years, with the rapid development of high-speed rail, the quality requirements of railway tracks are constantly expanding. As the main material of high-speed rail, heavy rail steel needs to have high strength, toughness, and wear resistance. In order to improve the purity and comprehensive performance of heavy rail steel, it is increasingly important to study the casting tundish in order to improve the castability of molten steel and slab quality [14,15]. However, research on the flow field optimization of T-type tundishes for application in the casting of heavy rail steel is relatively rare. In order to solve the practical problems of a heavy rail steel plant, it is particularly urgent that a suitable tundish structure is designed.
By establishing a three-dimensional mathematical model of flow and heat transfer in tundishes, the structural optimization of a five-flow T-type continuous casting tundish was studied in this paper. The flow field and temperature field were solved using ANSYS Fluent 17.0 (ANSYS Inc., Canonsburg, PA, USA), and the results were analyzed by ANSYS CFD-POST (ANSYS Inc., Canonsburg, PA, USA) and Tecplot software (Tecplot Inc., Bellevue, WA, USA). Due to the existing problems in the original structure of the tundish, a porous retaining wall was added on the turbulence controller to improve the structure of the tundish. The influence of the combination of “turbulence controller + retaining wall” on fluid flow in the tundish was studied, and orthogonal design was used to optimize the structure of the porous retaining wall. The flow field, temperature field, and level of inclusion removal in the improved tundish were analyzed to obtain the optimal parameters.

2. Basic Theory and Method

2.1. Fundamental Assumption

The flow of molten steel in tundishes is a very complex turbulent flow that is accompanied by complex physical and chemical reactions, and the movement of inclusions is subject to random turbulent fluctuations. Some necessary assumptions are made for the flow, heat transfer, and inclusion of molten steel [16,17,18]:
(1)
Liquid steel is an incompressible viscous fluid. The flow of molten steel is that of a high-Reynolds number steady-state turbulent flow. Assuming that the liquid surface is a free-slip surface, the effects of liquid surface fluctuation and surface covering agent on flow are ignored.
(2)
Heat transfer is a three-dimensional steady-state process. The effect of temperature change on the relevant physical parameters of molten steel is ignored.
(3)
The inclusions are assumed to be spherical, and the particle diameters are set as 10 μm, 30 μm, 50 μm, 70 μm, and 90 μm. Without considering collision polymerization and wall adsorption, it is considered that inclusions are absorbed by the slag layer when they reach the liquid steel surface.

2.2. Control Equation

The relevant equations are provided below.
Continuity equation:
( ρ u i ) x i
Momentum equation:
( ρ μ i μ j ) x j = P x j + x j ( μ e f f μ i x j ) + x i ( μ e f f μ i x i ) + ρ g i
Energy equation:
ρ C p ( u T x + v T y + w T z ) = x ( k e f f T x ) + y ( k e f f T y ) + z ( k e f f T z )
Turbulent kinetic energy equation:
( ρ u i k ) x i = x i [ ( u e f f + u t σ k ) k x i ] + G ρ ε
Turbulent kinetic energy dissipation rate equation:
( ρ u i ε ) x i = x i [ ( u e f f + u t σ ε ) ε x i ] + c 1 ε G c 2 ρ ε 2 k
G = u t u j x i ( u i x j + u j x i )
u e f f = μ + u t = μ + c u ρ k 2 ε
Tracer transport equation:
ρ c t + ρ u i c x i = x i ( ρ D e f f c x i )
D e f f = D 0 + u e f f ρ S c t
In the above expressions, u i ,   u j is the direction represented by the tensor m·s−1; Ρ represents fluid density, kg·(m3)−1; T is fluid temperature, K; C P is effective heat capacity, J·(kg·K)−1; k e f f is the effective heat transfer coefficient, W·(m·K)−1; μ is the fluid viscosity coefficient, kg·(m·s)−1; μ t is an additional viscosity coefficient of fluid, kg·(m·s)−1; k is turbulent kinetic energy, m2·(s2)−1; ε is turbulent kinetic energy dissipation rate, m²·(s³)−1; D e f f is the effective diffusion coefficient, kg·(m·s)−1; c is tracer concentration, kg·(m³)−1; S c t is the Schmidt number of the tracer; and D 0 is the tracer diffusion coefficient, m2·s−1. Where C 1 , C 2 , C u , σ k , σ ε is a constant, the values recommended by Launder and Spalding are used [19,20]:
c 1 = 1.43 ;   c 2 = 1.92 ;   c u = 0.09 ;   σ k = 1.00 ;   σ ε = 1.30

2.3. Inclusion Motion Equation

The trajectory of inclusions in the tundish satisfies the Euler–Lagrange particle tracking model. In general, after the convergence and stability of the steady flow field calculation, the corresponding model of inclusions is calculated by Fluent, and the influence of drag and buoyancy on inclusions should be considered. The equations are as follows:
d u - p d t = F D ( u i u p ) + ( ρ p ρ ) ρ p g i
F D = 18 μ 0 C D R e 24 ρ p D p 2
In the formula, u p represents inclusion particle velocity per hour, m·s−1; ρ p represents inclusion density, kg·(m3)−1; F D denotes drag, N; and C D is the drag coefficient.

3. Grid and Boundary Conditions

3.1. Model Grid

The research object is a five-strand T-shaped continuous casting tundish. Since the structure of the tundish is symmetrical, half of the tundish is taken for calculation when obtaining the results. The three-dimensional model of the tundish is shown in Figure 1, and the three outlets are marked as 1#, 2#, and 3#.
The basic simulation parameters stem from the specified data provided by the production site and are listed in Table 1.
The mesh of the model was obtained through ANSYS Meshing, and the mesh is unstructured with a tetrahedral and hexahedral combination. In order to improve the accuracy of simulation calculation, grid refinement and encryption were carried out at positions with a large gradient of turbulence intensity parameters, such as inlets, outlets, and relevant flow control positions, and boundary layer grid division was carried out on the relevant wall boundary to meet the requirements of calculation accuracy and wall function. Finally, the number of grids was about 250,000. The model grids are shown in Figure 2 and Figure 3.

3.2. Boundary Condition

(1)
Inlet boundary condition:
The velocity inlet is selected as the boundary condition of the model’s inlet. The velocity direction is perpendicular to the long nozzle plane and evenly distributed across the whole nozzle plane.
(2)
Outlet boundary condition:
The boundary condition of the outlet is set as a free flow boundary to ensure the full flow of molten steel in the tundish.
(3)
Wall boundary condition:
The upper surface of the molten steel is set as a free-slip wall that ignores the influence of liquid level fluctuation and covering agent, and the variable gradient in the vertical direction is zero. The rest walls are set as non-slip walls, and the heat transfer conditions of each wall are set.
(4)
Symmetric boundary:
The model’s symmetric surface is defined as the symmetric boundary, and the velocity and normal gradient of other variables on this surface are zero.

4. Numerical Simulation of Adding a Porous Baffle Wall

4.1. Structural Design

Porous baffle walls are a device with a significant flow control effect, which can improve the flow field of multi-flow tundish, maintain uniform steel composition and temperature, and promote inclusion removal. Previous studies [21,22,23] have shown that the structural design of porous baffle walls mainly focuses on factors such as shape, hole number, aperture, relative position, and the inclination angle of holes. Therefore, the influence of four factors on the flow control effect of porous baffle walls are focused upon in this experiment, namely aperture d, horizontal angle α1, horizontal angle α2, and elevation angle β. Next, combined with the actual parameters, the baffle wall structure was designed.
(1)
Shape:
The distance between the U-shaped baffle wall and the outlet center line was 300 mm, as shown in Figure 4.
(2)
Hole number:
According to the literature [21,24,25], for multi-flow tundishes, the number of holes on one side of the baffle wall is generally three or four.
(3)
Hole position:
In order to ensure the stability of the retaining wall [24,25], flow control, and liquid level, the hole positions of the porous baffle wall were carefully designed, and the schematic diagram is shown in Figure 5. The positions were as follows: l1 = 300 mm, l2 = 350 mm, l3 = 250 mm, and l4 = 200 mm. Among these positions, l3 is determined by l2.
(4)
Hole diameter:
According to the relevant literature [24,26], the recommended diameter of baffle wall holes (d) is 70–100 mm.
(5)
Hole inclination angle:
A three-dimensional model of the porous tundish baffle wall is shown in Figure 6. The sizes of the three diversion holes are consistent. According to the flow characteristics of molten steel and the temperature field distribution, the left horizontal inclination α1 of the first hole is in the range of 20–50°, the right horizontal inclination α2 of the second and third holes is in the range of 40–55°, and the elevation angle β of the three holes is in the range of 20–35°.

4.2. Orthogonality Design Plan

In this study, orthogonal analysis was used to explore the effects of different factors and levels on the flow field and temperature field of the tundish. There were four factors affecting the flow control effect of baffle walls in the scheme and four different levels were taken for each factor, thus forming a 4 × 4 orthonormal table, as shown in Table 2.

4.3. Orthogonal Analysis Results

Numerical simulation of the 20 schemes listed in Table 2 was performed, and the best baffle wall opening scheme was determined by orthogonal analysis. In evaluating the flow control effect of the porous baffle wall, it was necessary to select representative indexes for orthogonal analysis. In this study, the average residence time, the starting response time, the overall average residence time, and the consistency with which each outlet in the tundish could be cast were used as the orthogonal analysis indexes. The consistency with which each outlet could be cast was measured by the comprehensive standard deviation of average residence time (S). With the variances in the average residence time of the 1#, 2#, and 3# flows denoted by S1, S2, and S3, then
S = S 1 + S 2 + S 3 3
The simulation results for the orthogonal scheme were counted according to the above indexes, as shown in Table 3. Among them, t1, t2, and t3 are the average residence time of outlet 1#, 2#, and 3#, respectively. tavg is the total average residence time. tmin is the starting response time. S is the combined standard deviation of the average residence time of each flow.
In order to determine the best opening scheme for the designed porous baffle wall, the orthogonal analysis results showed that:
(1)
The left inclination angle α1 of the first hole has a significant effect on the comprehensive standard deviation of start response time and average residence time. The left angle α1 controls the flow of molten steel near outlets 1# and 2#. Because the first hole is located between outlets 1# and 2#, the molten steel from the diversion hole flows directly from the molten steel surface to these two outlets. Therefore, when the left angle α1 becomes large, the first hole is closer to outlet 1# outlet, and shortening the distance between them will shorten the starting response time of the molten steel at the corresponding outlet. At the same time, the increase in the left angle α1 will incline the flow direction of molten steel more toward outlet 1# and increase the standard deviation of the average residence time of the three outlets, which is not conducive to the flow consistency of molten steel.
(2)
The right angle α2 of the second and third holes mainly regulates the flow in the relevant area of distal outlet 3#. In order to ensure that the molten steel can also maintain flow consistent with outlets 1# and 2# at the farthest end, it is necessary to guide the molten steel in the injection area to the distal end of the tundish with the right angle α2. With increases in the right angle α2, the standard deviation of average residence time decreases gradually and the consistency of each flow is greatly improved. However, when α2 is too large, it will also cause excessive flow to the distal end of molten steel and make the flow of outlets 1# and 2# become worse; therefore, it is important that the right angle α2 has the appropriate value.
(3)
With increases in aperture d, the flow control effect of the diversion hole will be weakened, which is not conducive to improving the flow consistency of molten steel. When aperture is at the minimum level, the comprehensive standard deviation of average residence time is small and flow consistency is good.
(4)
Increases in elevation angle β will prolong the flow path and residence time of molten steel, but the effect is not obvious. By analyzing the average residence time of each outlet, it can be clearly seen that the average residence time of outlet 3# is no longer greater than the theoretical residence time, and the average residence time of outlets 1# and 2# is significantly increased, which is the interaction between the elevation angle β and the horizontal inclination angles α1 and α2.
Under the action of multiple factors and levels, average residence time and the comprehensive standard deviation of each flow change greatly, while the fluctuation in total average residence time and start response time is small. When the optimal level of each factor was considered, the consistency of each outlet was taken as the main reference, and a baffle wall hole with a left inclination angle α1 = 22°, right inclination angle α2 = 48°, upper elevation angle β = 30°, and aperture d = 70 mm was adopted.

4.4. Flow Field of the Tundish

Numerical simulation of the tundish with a porous baffle wall was carried out according to the best opening scheme, and the flow field simulation results are shown in Figure 7.
The diversion hole in the baffle wall has the function of distributing and guiding the molten steel in the injection area. The molten steel flows to each outlet of the tundish under the action of the diversion hole, and there are no cases where the molten steel is too biased towards a certain outlet. Compared to the single turbulence controller, the liquid velocity distribution of the molten steel surface in the injection area is more uniform with a baffle wall, and the maximum velocity of the liquid surface is smaller with less fluctuation. In the injection area, the velocity of the molten steel near the second and third holes is slightly higher due to molten steel being aggregated by the holes (maximum velocity is 0.12 m·s−1). The velocity distribution at the far end of the molten steel surface is obviously better, and the molten steel through the second and third diversion holes extends to the far end at a great speed, which thus optimizes the far end speed too slowly (an important factor when seeking to improve the consistency of each flow). The diversion hole makes the molten steel flow more uniform and greatly reduces the generation of vortex flow. The molten steel can thus fully flow in all regions of the tundish, which is also of great significance in terms of inclusion removal.

4.5. Residence Time Distribution Curve of the Tundish

Numerical simulation of the residence time distribution (RTD) curve for the tundish with a porous baffle wall demonstrates that the porous baffle wall significantly improved the consistency of each flow. The calculated results are shown in Figure 8, Figure 9 and Figure 10. (plan A: no flow control device; plan B: round turbulence inhibitor; plan C: round turbulence inhibitor + dam and weir; plan D: round turbulence inhibitor + porous baffle wall.)
Through analysis of the RTD curve, it can be seen that the flow of the distal three-strand outlet has been greatly improved, and there was no indication that the average residence time of the distal outlet was greater than the theoretical residence time. The residence time of molten steel in outlets 1# and 2# was also improved by 67.7% and 30.3%, respectively. For outlet 1#, it was closest to the injection area before optimization, and the molten steel flowed directly to outlet 1# after being injected from the long shroud. This resulted in a short average residence time for molten steel in outlet 1#, which is not conducive to improving inclusion removal and flow consistency. The molten steel in the injection area was redistributed after the porous baffle wall was installed, which greatly extended the average residence time of the molten steel in outlet 1# and prevented short-circuit flow. Through the flow line of residence time, it can be seen that there was no obvious lag zone for flow in the whole tundish, and the flow lag problem in the corner area was also improved. In terms of the volume fraction of each zone, the residence time of molten steel at outlets 1# and 2# increased due to the porous baffle wall, and the starting response time of molten steel was also prolonged, which effectively prevented the occurrence of short-circuit flow. Therefore, the volume of the plug flow zone was significantly increased. As the distal flow was more sufficient, dead zone volume decreased by about 10%.

4.6. Temperature Field of the Tundish

The temperature field of the tundish with a porous baffle wall was numerically simulated, and the corresponding results are shown in Figure 11 and Figure 12. (Plan A: no flow control device; plan B: round turbulence inhibitor; plan C: round turbulence inhibitor + dam and weir; plan D: round turbulence inhibitor + porous baffle wall.)
The uniformity of the temperature field in the tundish with a porous baffle wall was greatly improved, and the temperature consistency of each outlet was also significantly optimized. The original structure was not able to overcome the low temperature zone in the distal corner. The molten steel flowed slowly near outlet 3#, and the temperature was generally lower than that near outlets 1# and 2#. The temperature in the corner was only 1780 K, the molten steel temperature at outlet 3# was about 1815 K, and the maximum temperature difference between outlet 3# and the other two outlets was more than 10 K. After the porous baffle wall was installed, molten steel flow was comprehensively optimized and molten steel moving at higher speed and of higher temperature also passed the farthest corner region under the influence of the diversion hole. There was no obvious low temperature zone in the tundish and a minimum temperature of around 1812 K was also maintained, which is higher than the temperature before optimization. The temperature of molten steel at the three outlets was 1823.5 K, 1822.5 K, and 1821.8 K. The maximum temperature difference was only 1.7 K, thus the temperature consistency of the three outlets is optimal. The temperature uniformity of molten steel in the tundish is of great significance to composition homogeneity and quality improvement. The overall temperature distribution of the tundish with a porous baffle wall was more reasonable and the temperature fluctuation in the injection area was smaller, which is very beneficial in terms of casting consistency.

4.7. Simulation of Inclusion Removal

After the combined use of a circular turbulence controller and a porous baffle wall, it can be seen that the movement area of inclusions above 50 μm is still concentrated near the injection area (Figure 13). Due to the existence of the baffle wall, it is easier to distinguish the injection area and casting area. Large particles are concentrated and removed in the injection area, and the longest movement time is about 500 s. Small particles (between 10 μm and 30 μm) flow away with molten steel to the distal end under the influence of the diversion hole and movement time is significantly shortened. The longest movement time of 10 μm and 30 μm particles is 1100 s and 780 s, respectively, and the removal rate of small inclusion particles is also higher under this scheme. Although the movement time of small particles is very long before optimization, the removal rate of inclusions is not high. The reason is that the porous baffle wall structure has an obvious improvement effect on the flow field and temperature field, which leads to a fuller flow for molten steel in the tundish. The interaction between different steel flows is enhanced [27], and the removal rate of inclusions of all sizes is improved.

5. Conclusions

According to the results from numerical simulation of molten steel in a tundish with a porous baffle wall, the combination of a porous baffle wall and a circular turbulence controller had a better flow control effect for the five-strand T-type tundish. The following conclusions could be drawn:
(1)
Compared to before optimization, the uniformity of the temperature field in the tundish was significantly improved by 61.8%, and the flow field of each strand tended to be consistent. The maximum tundish temperature difference was 21 K, and the maximum temperature difference for the three outlets was only 1.7 K. The dead zone volume was 10.0% less than that of the original tundish, and piston zone volume was increased by 14.2%.
(2)
The porous baffle wall structure was optimized according to an orthogonal experimental design, and the optimal scheme of baffle wall holes was scientifically analyzed. Finally, the baffle wall opening plan with a left inclination angle of α1 = 22°, right inclination angle of α2 = 48°, upper elevation angle of β = 30°, and aperture of d = 70 mm was selected.
(3)
The removal rate of Al2O3 inclusions of less than 100 μm in the tundish was calculated. Because there were many problems in terms of the flow of molten steel in the original tundish, the removal rate of inclusions was not high. The inclusion removal effect of the circular turbulence controller and baffle wall was very obvious. The removal rates of inclusions of all sizes were maintained at more than 80%, and the removal rate of 70 μm and 90 μm inclusions was 98%.

Author Contributions

Conceptualization, S.Z. (Shuo Zhao) and J.W.; methodology, S.Z. (Shuo Zhao); software, Y.G. and S.Z. (Shibin Zhu); formal analysis, Y.G. and S.Z. (Shibin Zhu); investigation, S.Z. (Shuo Zhao); resources, S.Z. (Shuo Zhao); data curation, S.Z. (Shibin Zhu); writing—original draft preparation, S.Z. (Shuo Zhao) and Y.G.; writing—review and editing, S.Z. (Shuo Zhao) and Z.L.; supervision, C.C. and D.X.; project administration, S.Z. (Shuo Zhao); funding acquisition, S.Z. (Shuo Zhao). All authors have read and agreed to the published version of the manuscript.

Funding

This study was made possible by the support and assistance of the National Natural Science Foundation of China (51904086), the Returned Overseas Scholars Foundation of Hebei Province (C20200310), the Talent Introduction Project of Hebei Province, and the Science and Technology Special Program of Handan City (19422111008-33).

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. 3D model of the tundish.
Figure 1. 3D model of the tundish.
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Figure 2. Model mesh.
Figure 2. Model mesh.
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Figure 3. Inlet cross section grid.
Figure 3. Inlet cross section grid.
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Figure 4. Schematic diagram of the shape of the porous baffle wall.
Figure 4. Schematic diagram of the shape of the porous baffle wall.
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Figure 5. Schematic diagram of openings in the porous baffle wall.
Figure 5. Schematic diagram of openings in the porous baffle wall.
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Figure 6. Model of the tundish with a porous baffle wall.
Figure 6. Model of the tundish with a porous baffle wall.
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Figure 7. Streamline diagram of the tundish.
Figure 7. Streamline diagram of the tundish.
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Figure 8. RTD curve of the tundish.
Figure 8. RTD curve of the tundish.
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Figure 9. Average residence time of each outlet.
Figure 9. Average residence time of each outlet.
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Figure 10. Volume fraction of each zone.
Figure 10. Volume fraction of each zone.
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Figure 11. Temperature diagram of the tundish.
Figure 11. Temperature diagram of the tundish.
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Figure 12. Line diagram of the temperature of each outlet.
Figure 12. Line diagram of the temperature of each outlet.
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Figure 13. Movement trajectories of five sizes of inclusions. (a) 10 μm; (b) 30 μm; (c) 50 μm; (d) 70 μm; (e) 90 μm.
Figure 13. Movement trajectories of five sizes of inclusions. (a) 10 μm; (b) 30 μm; (c) 50 μm; (d) 70 μm; (e) 90 μm.
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Table 1. Basic parameters.
Table 1. Basic parameters.
ParametersValuesParametersValues
Inlet diameter, mm65Speed, m·min−10.5
Outlet diameter, mm40Steel density, kg·(m³)−17100
Strand spacing, mm2096Steel viscosity, Pa·s0.0062
Immersion depth, mm150Thermal conductivity, W·(m·K)−1740
Liquid level, mm680Specific heat capacity, J·(kg·K)−141
Slab size, mm380 × 280Inclusion density, kg·(m³)−15000
Table 2. Orthogonal design for diversion holes.
Table 2. Orthogonal design for diversion holes.
No.Left Angle α1Right Angle α2Vertical Angle β/°Hole Size d/mm
122402070
230442570
338483070
446523570
546482580
638442080
730403580
822523080
922483590
1030522090
1138402590
1246443090
13464030100
14385235100
15304820100
16224425100
17304435100
18305230100
19465225100
20465220100
Table 3. Simulation results of the orthogonal scheme of the porous baffle wall.
Table 3. Simulation results of the orthogonal scheme of the porous baffle wall.
No.t1/st2/st3/stavg/stmin/sS
115761569177516446495.6
2153515411841164657138.2
315411627176516446292.3
4149616771762164559110.9
5146416621751164656120.0
6144816241869164761172.6
7149916181814164459129.9
815411641175316456386.6
915611581177116446889.6
1015621665166216487152.6
11149415761896164665178.5
12153416121790164567107.2
13147016121856164665159.4
14143016231884164657186.0
15160316081831164665137.8
16153915211874164555176.5
17150916551765164367104.9
18148016141844164653150.3
19149517951662164748135.1
20145818221662164747149.0
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MDPI and ACS Style

Zhao, S.; Zhu, S.; Ge, Y.; Wang, J.; Xu, D.; Li, Z.; Chen, C. Simulation of Fluid Flow and Inclusion Removal in Five-Flow T-Type Tundishes with Porous Baffle Walls. Metals 2023, 13, 215. https://doi.org/10.3390/met13020215

AMA Style

Zhao S, Zhu S, Ge Y, Wang J, Xu D, Li Z, Chen C. Simulation of Fluid Flow and Inclusion Removal in Five-Flow T-Type Tundishes with Porous Baffle Walls. Metals. 2023; 13(2):215. https://doi.org/10.3390/met13020215

Chicago/Turabian Style

Zhao, Shuo, Shibin Zhu, Yangyang Ge, Jianfeng Wang, Dong Xu, Zushu Li, and Chao Chen. 2023. "Simulation of Fluid Flow and Inclusion Removal in Five-Flow T-Type Tundishes with Porous Baffle Walls" Metals 13, no. 2: 215. https://doi.org/10.3390/met13020215

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