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A New Method Based on the F-Curve for Characterizing Fluid Flow in Continuous Casting Tundishes

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Abstract

“Combined Model” is often applied to characterize the fluid flow in tundishes. There are different ways to manage the calculation of this model, while the most recently used is introduced by SAHAI and EMI. But this approach may lead to incorrect results in some special cases. In this paper, a new method based on the F-Curve is proposed to analyze the fluid flow in tundishes, and the relationship between E-Curve and F-Curve is concerned. In the end, their application to tundish fluid flow has been outlined. The dead volume calculated by the new method is much close to the results of dye experiment and the numerical simulation.

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Abbreviations

E :

Dimensionless concentration obtained by pulse input

F :

Dimensionless concentration obtained by step input

θ :

Dimensionless time scale

\( \bar{t} \) :

Mean residence time (=V/Q)

\( \bar{t}_{\text{c}} \) :

Measured mean residence time up to two times the \( \bar{t} \)

\( V_{\text{a}} \) :

Volume of active region in a tundish

\( Q_{\text{a}} \) :

Volumetric flow rate through the active region of a tundish

V :

Volume of liquid in a tundish

Q :

Total volumetric flow rate through a tundish

\( \frac{{V_{\text{d}} }}{V} \) :

Fraction of dead volume in a tundish

\( \frac{{V_{\text{a}} }}{V} \) :

Fraction of active volume in a tundish

\( \frac{{V_{\text{m}} }}{V} \) :

Fraction of well-mixed volume in a tundish

\( \frac{{V_{\text{p}} }}{V} \) :

Fraction of the plug volume in a tundish

V 2 :

Volume of the flow fluid which stays in the vessel for a period longer than two times the mean residence time

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Acknowledgments

The authors would like to thank Beijing Higher Education Young Elite Teacher Project (No. YETP0411) for the financial support.

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Author notes

  1. Jianxin Du (Lecturer)

    Present address: Design Research Institute, University of Science and Technology Beijing Co. Ltd., Beijing, 100083, China

Authors and Affiliations

  1. Engineering Research Institute, University of Science and Technology Beijing, Beijing, 100083, China

    Dongxia Li (Graduate Student), Heng Cui (Associate Professor), Yang Liu (Graduate Student) & Enhua Tian (Graduate Student)

  2. Beijing Keda Hengxing Hi-Tech Co. Ltd., Beijing, 100083, China

    Jianxin Du (Lecturer)

Authors
  1. Dongxia Li
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  2. Heng Cui
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  3. Yang Liu
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  4. Enhua Tian
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  5. Jianxin Du
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Corresponding author

Correspondence to Heng Cui.

Additional information

Manuscript submitted August 3, 2014.

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Li, D., Cui, H., Liu, Y. et al. A New Method Based on the F-Curve for Characterizing Fluid Flow in Continuous Casting Tundishes. Metall Mater Trans B 47, 1237–1242 (2016). https://doi.org/10.1007/s11663-015-0571-z

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