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International Journal of Minerals, Metallurgy and Materials Volume 17, Number 2, April 2010, Page 143 DOI: 10.1007/s12613-010-0204-0 Corresponding author: Jing-she Li E-mail: lijingshe@ustb.edu.cn © University of Science and Technology Beijing and Springer-Verlag Berlin Heidelberg 2010 Water modeling of molten steel flow in a multi-strand tundish with gas blowing Jing Jiang1), Jing-she Li1), Hua-jie Wu2), Shu-feng Yang1), Tao Li1), and Hai-yan Tang1) 1) School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing, Beijing 100083, China 2) Engineering Research Institute, University of Science and Technology Beijing, Beijing 100083, China (Received: 2 April 2009; revised: 20 May 2009; accepted: 2 June 2009) Abstract: Fluid flow characteristics in a four-strand tundish with gas blowing were studied by water modeling experiments. It is found that gas blowing can greatly improve the flow characteristics in the tundish with a turbulence inhibitor. It dramatically increases the peak concen- tration time, and greatly decreases the dead volume, and reduces the minimum residence time. The gas blowing location, gas flow rate, and porous plug area greatly influence the flow characteristics in the tundish; the gas blowing location near the baffle, smaller gas flow rate, and smaller porous plug area are better for improving the fluid flow characteristics. Using gas blowing can reduce the difference of flows at the middle outlets and side outlets for the multi-strand tundish. Bubbles produced by gas blowing can absorb small inclusions and provide the condition for inclusion collision and aggregation. Therefore, introducing gas blowing into a tundish and combining the turbulence inhibitor can improve inclusion floating and removal, and the cleanness of molten steel can be advanced. Keywords: continuous casting; tundish; water modeling; gas blowing; porous plug 1. Introduction Besides using weirs, dams, baffles with holes, and turbu- lence inhibitors, gas blowing is another important way to improve the fluid flow and inclusion removal in the tundish. The principle of this method is that the generated small bub- bles from the tundish bottom can form a bubbling curtain that works as a dam and as an efficient transporting mecha- nism of inclusions toward the bath surface to be captured by a suitable slag [1]. A few studies have been carried out for investigating the flow and inclusion behaviors in a tundish with gas blowing. Zhong [2] investigated the effects of the argon bubbling curtain on the flow characteristics in a 1:3 reduced scale two-strand tundish water model. It was found that gas blowing hardly influenced the minimum residence time but significantly increased the peak concentration time and shortened the tail of resident time distribution (RTD) curves. Zhang [3-5] studied the fluid flow and inclusion motion in an argon bottom blown tundish by water modeling and mathematical modeling, which found that the position of gas blowing and gas flow rate had remarkable effects on the steel fluid flow and the RTD curve. In the same way, Ramos-Banderas et al. [6] found that higher flow rates of gas lead to the decrease in the plug flow fraction of the fluid in the tundish. Yamanaka et al. [7] investigated the tundish using argon bubbling through porous plugs, and they claimed a 50% improvement in the removal of inclusions in the 50 to 100 mm range. Tao [8] reported that the inclusion index of the slab cast with argon bubbling was decreased from 0.733-0.898 mg/kg to 0.421-0.433 mg/kg. Investiga- tions of gas bubbling in continuous casting tundishes were carried out by Marique and a 25%-50% improvement in the removal of inclusions was reported [9]. In previous literatures, all the studies focused on the one- or two-strand tundish, and the reports on gas blowing in a multi-strand tundish are few. In the present article, the ef- fects of gas blowing on the flow characteristics in a four-strand tundish with 25 t capacities were investigated in a reduced scale water model. The optimum porous plug area, 144 Int. J. Miner. Metall. Mater., Vol.17, No.2, Apr 2010 the optimum location of the porous brick, and the optimum gas flow rate were determined by measuring the RTD curves in water modeling experiments. The prototype tun- dish configuration studied is shown in Fig. 1. A turbulence inhibitor and a baffle with 3 holes were used in the tundish. Fig. 1. Original tundish configurations (unit: mm). 2. Experimental procedure In the water modeling experiments, to insure the similar- ity of fluid flowing between the model tundish and the pro- totype tundish in isothermal and non-reactive systems, geo- metrical and dynamic similarities must be satisfied between the two vessels. In the present work, the ratio of the geomet- rical similarity of the model tundish to the prototype is cho- sen to be 1: 2.5. Dynamic similarity requires respecting si- multaneous equality of both turbulent Reynolds and Froude numbers, but it is impossible to keep the condition satisfied in reduced scale modeling studies. The computational and experimental studies of Singh and Koria [10] showed that the magnitude of turbulent Reynolds number under the tur- bulent flow range in different tundishes is very similar. Therefore, Froude numbers of the model and prototype tun- dishes are maintained to be equivalent in this work. Ac- cording to the Froude similarity criterion (Frm=Frp, where, m—model, p—prototype), the characteristic length: Lm=λLp=0.4Lp (1) the characteristic velocity: Um=λ0.5Up=0.63Up (2) the volumetric flow rate: Qm=λ2.5Qp=0.10Qp (3) The casting speed is 0.5 m/min, and the diameter of the round billet is 280 mm×325 mm. The parameters of the pro- totype tundish and model tundish are shown Table 1. A sketch map of the experimental apparatus is shown in Fig. 2. The RTD curve of the fluid flowing in the tundish can be obtained by the stimulus-response technique to in- vestigate the effect of different tundish configurations on the fluid flow characteristics in the tundish. Before measuring, the liquid levels of the ladle and the tundish were raised to the predetermined height. Then, the tundish nozzles were opened. After attaining the steady-state flow condition, 200 mL KCl saturated solution was used as a tracer and was in- jected into the water stream flowing through the ladle nozzle. One conductivity probe connected to a conductivity meter was installed below one of the outlets of the tundish to measure the instantaneous concentration of the tracer as a function of time. The measurement data were plotted with a recorder and input into a computer to construct RTD curves. From the RTD curves, the minimum residence time (tmin), peak concentration time (tmax), and mean residence time (tav), could be obtained for every experiment. Considering there was fluid exchange between the fluids in the dead zone and in the active zone, the flow model proposed by Sahai and Emi [11] was employed in this work to calculate the dead volume fraction (Vdv), but the fractions of plug flow and well mixed volumes were still calculated with the modified mixed model from Ahuja and Sahai [12]. Table 1. Parameters of the prototype tundish and model tun- dish Parameter Prototype Model Flow volume per nozzle / (L·h−1) 2730 276 Diameter of the nozzle / mm 80 32 Depth of liquid / mm 900 360 Distance between two nozzles / mm 621 248 Depth of nozzle penetration / mm 150 60 Fig. 2. Sketch map of water modeling experiments. In this study, 11 cases (case 1 is the prototype tundish) were investigated, in which 4 different locations of gas blowing, 4 different gas blowing rates, and 3 sizes of porous plugs were studied. Fig. 3 shows the details of the experi- mental cases. The porosity of porous plugs used in the ex- periment is 15%, and the average diameter ofthe gas hole is 2.0 mm. Fig. 4 shows the shape and the size of the porous plug. J. Jiang et al., Water modeling of molten steel flow in a multi-strand tundish with gas blowing 145 Fig. 3. Cases investigated in this study: (a) case 2, 180 L/h, 210 mm×56 mm; (b) case 3, 90 L/h, 210 mm×56 mm; (c) case 4, 90 L/h, 210 mm×56 mm; (d) case 5, 90 L/h, 105 mm×56 mm; (e) case 6, 60 L/h, 105 mm×56 mm; (f) case 7, 120 L/h, 210 mm×56 mm; (g) case 8, 120 L/h, 105 mm×56 mm; (h) case 9, 120 L/h, 105 mm×56 mm; (i) case 10, 120 L/h, 210 mm×28 mm; (j) case 11, 120 L/h, 210 mm×56 mm. Fig. 4. Porous plug used in the water experiments. 3. Results and discussion Fluid flow characteristics in the water model are listed in Table 2. The dead flow volume fraction in most tundishes with gas blowing is less than that in the prototype tundish, but case 2 is an exception, and the reason will be discussed later. Therefore, proper gas blowing can reduce the dead flow volume fraction in the tundish. However, it is noticed that the minimum residence time in case 1 is the longest, so gas blowing reduces the minimum residence time in the current tundish. This is different from the results obtained by Zhong et al. [2], whose results showed that gas blowing hardly influenced the minimum residence time. Perhaps this is due to the different tundish configurations used in the two investigations. 146 Int. J. Miner. Metall. Mater., Vol.17, No.2, Apr 2010 Table 2. Fluid flow characteristics in the water model Case tmin / s tmax / s tav / s Vdv / % Case 1 62 275 665 11.0 Case 2 42 412 658 12.0 Case 3 38 305 679 9.1 Case 4 54 351 685 8.3 Case 5 42 448 713 4.8 Case 6 52 446 710 5.0 Case 7 41 422 726 2.9 Case 8 61 402 709 5.2 Case 9 58 360 684 8.5 Case 10 59 373 677 9.4 Case 11 36 377 681 8.9 In cases 2 and 11, the minimum residence times are very short, 42 and 36 s, respectively. When the flow jets reached the bottom of the turbulence inhibitor, first, flew up and then flew into the 3 holes in the baffle. The flow coming from the front hole was divided into 2 parts, one part flew into the surface of the molten steel due to the driven force from bub- bles, and the other part flew into the middle outlets directly. Therefore, the minimum residence time in the middle outlets was much shorter than that in the side outlets because of the front hole in the baffle, which caused the flow in the tundish inhomogeneous. Therefore, the middle hole (shown in Fig. 1) on the baffle was covered in the following experiments. For cases 3 and 4, the gas flow rate is same, but the gas blowing location is different. According to the results in Ta- ble 2, the dead flow volume fraction in case 4 is 8.3%, smaller than that in case 3. Cases 3 and 5 have the same gas blowing location and gas flow rate but different areas of porous plug; however, the dead flow volume fraction in case 5 is smaller than that in case 3. For case 6, the gas flow rate is smaller than that in case 5, but case 6 gets a longer mini- mum residence time. Therefore, the gas blowing location, gas flow rate, and the area of porous plug gas greatly influ- ence the flow characteristics in a tundish, the gas blowing location near the baffle, smaller gas flow rate, and smaller area of porous plug are better for improving fluid flow characteristics. This conclusion also can be proved in the following experiments. For cases 7 and 8, the gas flow rate and area of porous plug are same, but the gas blowing location is different. The minimum residence time is only 41 s for case 7, but for case 8, the minimum residence time reaches 61 s. In case 7, all the flow from the side holes in the baffle flows into the sur- face along the bubbling curtain and then flows down quickly due to the absorbing force on the outlet, and reaches the middle outlets first. In case 8, the porous plug is far from the side holes, so part of the flow from the side holes can keep the same flow direction, and the other part will flow into the surface of the fluid along the bubbling curtain. The velocity of the second flow becomes slow because the first flow weakens the absorbing force at the outlet, so the minimum residence time in case 8 is longer than that in case 7. For the same reason, case 9 also achieved good experimental results; the minimum residence time is 58 s and the dead flow vol- ume fraction is 8.5% Typical RTD curves for case 1 (without gas blowing) and case 10 (with gas blowing), are shown in Figs. 5 and 6, re- spectively. It can be seen that the RTD curves in the tundish with gas bubbling curtain is obviously different from those without gas blowing. The peak concentration time of the tracer for the experiment with gas injection is significantly larger than that without gas blowing. The curves for the ex- periment without gas blowing fluctuate in the vicinity of the peak concentration, while the curves for the case with gas Fig. 5. RTD curves for case 1 (without gas blowing): (a) global RTD curve; (b) local RTD curve. J. Jiang et al., Water modeling of molten steel flow in a multi-strand tundish with gas blowing 147 Fig. 6. RTD curves for case 10 (with gas blowing): (a) global RTD curve; (b) local RTD curve. blowing reveal a smooth curve. This shows that the flow characteristics in the tundish can be improved by using gas blowing. It also can be noticed that both RTD curves for the outside outlet and inside outlet fit better in Fig. 6 than those in Fig. 5. For case 1, the minimum residence time at the middle outlet and side outlet is 52 s and 81s, respectively, but for case10, the minimum residence time at the middle outlet and side outlet is 59 s. Therefore, using gas blowing can reduce the difference of flows at the middle outlet and side outlet. Visual observation in the experiments with potassium permanganate solution as a dye tracer showed that the tracer decelerated before passing through the bubbling curtain and accelerated after flowing through the curtain. When it reached the bubbling curtain, the dye tracer changed the flow direction and reached the surface of fluid. Inclusions could be brought into the surface by the flow; and they were absorbed by top slag. The bubble produced by gas blowing could absorb small inclusion and also could provide the condition for inclusions collision and aggregation, which are good for inclusion removal. 4. Conclusions (1) Gas blowing can greatly improve the flow character- istics in the tundish with a turbulence inhibitor. It dramati- cally increases the peak concentration time, greatly de- creases the dead volume, and reduces the minimum resi- dence time. (2) The gas blowing location, gas flow rate, and the area of porous plug area greatly influence the flow characteristics in the tundish; the gas blowing location near the baffle, smaller gas flow rate, and smaller porous plug area are bet- ter. (3) Using gas blowing can reduce the difference of the flow at the middle outlets and side outlets for the multi-strand tundish. (4) Introducing gas blowing into a tundish and combining the turbulence inhibitor can improve inclusion floating and removal, and the cleanness of molten steel can be advanced. References [1] L. Zhang and S. Taniguchi, Fundamentals of inclusion re- moval from liquid steel by bubble flotation, Int. Mater. Rev., 45(2000), No.2, p.59. [2] L.C. Zhong, L.Y. Li, B. Wang, M.F. Jiang, L.X. Zhu, L. Zhang, and R.R. Chen, Water modelling experiment of argon bubbling curtain in a slab continuous casting, Steel Res. Int., 77(2006), No.2, p.103. [3] M.J. Zhang, H.Z. Wang, A. Huang, Q.X. Meng, and H.Z. 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