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A Mathematical Modeling Study of Tracer Mixing in a Continuous Casting Tundish
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Applied Process Metallurgy. State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, China .ORCID iD: 0000-0001-7953-1127
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Applied Process Metallurgy. Swedish Def Res Agcy, FOI, Div CBRN Def & Secur, Sweden.
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Applied Process Metallurgy.ORCID iD: 0000-0003-1919-9964
State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing.
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2015 (English)In: Metallurgical and materials transactions. B, process metallurgy and materials processing science, ISSN 1073-5615, E-ISSN 1543-1916, Vol. 46, no 1, 169-190 p.Article in journal (Refereed) Published
Abstract [en]

A mathematical model based on a water model was developed to study the tracer mixing in a single strand tundish. The mixing behavior of black ink and KCl solution was simulated by a mixed composition fluid model, and the data were validated by water modeling results. In addition, a model that solves the scalar transport equation (STE) without any physical properties of the tracer was studied and the results were compared to predictions using the density-coupled model. Furthermore, the mixing behaviors of different amounts of KCl tracers were investigated. Before the model was established, KCl tracer properties such as the KCl molecule diffusion (KMD), the water molecule self-diffusion (WSD) in KCl solution, and the KCl solution viscosity (KV) were evaluated. The RTD curve of 250 mL KCl for the KMD case was closer to the water modeling results than that of the case implemented with only density. Moreover, the ensemble average deviation of the RTD curves of the cases implemented with KMD+ WSD, KMD+ KV, and KMD+ WSD+ KV to the KMD case is less than 0.7 pct. Thus, the water self-diffusion and KV were neglected, while the KCl density and KMD were implemented in the current study. The flow pattern of black ink was similar to the STE result i. e., the fluid flowed upwards toward the top surface and formed a large circulating flow at the outlet nozzle. The flow behavior of the 100, 150, and 250 mL KCl cases exhibited a strong tendency to sink to the tundish bottom, and subsequently flow through the holes in the dam. Thereafter, it propagated toward the outlet nozzle. Regarding the KCl tracer amount, the tracer concentration propagated to the outlet nozzle much faster for the larger amount case than for the smaller amount cases. However, the flow pattern for the 50 mL KCl case was somewhat different. The fluid propagated to the top surface which acted like black ink during the initial injection, and subsequently the fluid flowed throughout the holes at a much slower pace. The breakthrough time and peak concentration of RTD curves of model predictions and water modeling results showed a good agreement (all difference within 12.5 pct) for the 100, 150, and 250 mL KCl cases.

Place, publisher, year, edition, pages
Springer-Verlag New York, 2015. Vol. 46, no 1, 169-190 p.
Keyword [en]
Continuous casting, Diffusion in liquids, Flow patterns, Fluid dynamics, Forecasting, Mathematical models, Mixing, Molecules, Nozzles, Breakthrough time, Continuous casting tundish, Molecule diffusion, Peak concentrations, Scalar transport equation, Solution viscosity, Tracer concentration, Water self diffusions
National Category
Metallurgy and Metallic Materials
Identifiers
URN: urn:nbn:se:kth:diva-160382DOI: 10.1007/s11663-014-0190-0ISI: 000348199900022Scopus ID: 2-s2.0-84925537308OAI: oai:DiVA.org:kth-160382DiVA: diva2:790963
Note

QC 20150618. Correction in: Metallurgical and materials transactions. B, process metallurgy and materials processing science, vol. 46, issue. 6 page 2721. Doi: 10.1007/s11663-015-0448-1. WOS: 000367067600033

Available from: 2015-02-26 Created: 2015-02-19 Last updated: 2017-12-04Bibliographically approved
In thesis
1. Some Aspects on Macroscopic Mixing in a Tundish
Open this publication in new window or tab >>Some Aspects on Macroscopic Mixing in a Tundish
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Two aspects on macroscopic mixing in a continuous flow system – metallurgical tundish were studied. Specifically, 1) the first focus was on salt solution tracer mixing, which is important for tundish design from perspectives of tracer technology and Residence Time Distributions (RTD) as well as for the understanding of the macroscopic mixing in tundishes. The different amounts of salt solution tracer mixing in a tundish were studied by using both physical models and mathematical models. The disturbance of KCl salt tracer on the flow in the tundish with respect to different amounts is like the “butterfly effect”, i.e. only a slight increase of the amount of tracer, the flow field might be disturbed. This, in turn, will result in a shifted RTD curve. 2) The second focus was on Eulerian modeling of inclusions macroscopic transport and removal, which is important for tundish design from perspectives of inclusions removal and to provide information of macroscopic removal of inclusions. In the study, an approach that combined the meso-scale inclusions deposition at turbulent boundary layers of steel-slag interface and the macroscopic transport of inclusions in the tundish was used. The theoretical calculation results showed that the effect of the roughness on the deposition velocity of small inclusions (radius of 1 μm) were more pronounced than that for the big inclusions (up to the radius of 9 μm). The dynamic inclusions removal studies showed that the tundish with a weir and a dam exhibited a better performance with respect to the removal of bigger inclusions (radii of 5 μm, 7 μm and 9 μm) than that of the case without weirs and dams. However, the tundish without weirs and dams showed a higher removal ratio of smaller inclusions (radius of 1 μm).

Place, publisher, year, edition, pages
KTH Royal Institute of Technology, 2015. x, 24 p.
Keyword
continuous reactor, tundish, tracer, macroscopic mixing, water model, CFD, turbulence models, inclusions removal, inclusions deposition, dynamic removal
National Category
Metallurgy and Metallic Materials
Research subject
Materials Science and Engineering
Identifiers
urn:nbn:se:kth:diva-168402 (URN)978-91-7595-632-9 (ISBN)
Public defence
2015-08-28, B2, Brinellvägen 23, KTH, Stockholm, 10:00 (English)
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Note

QC 20150615

Available from: 2015-06-15 Created: 2015-06-02 Last updated: 2015-06-15Bibliographically approved

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