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Analysis of Meniscus Fluctuation in a Continuous Casting Slab Mold

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Abstract

A water model of slab mold was established to analyze the microscopic and macroscopic fluctuation of meniscus. The fast Fourier transform and wavelet entropy were adopted to analyze the wave amplitude, frequency, and components of fluctuation. The flow patterns under the meniscus were measured by using particle image velocimetry measurement and then the mechanisms of meniscus fluctuation were discussed. The results reflected that wavelet entropy had multi-scale and statistical properties, and it was suitable for the study of meniscus fluctuation details both in time and frequency domain. The basic wave, frequency of which exceeding 1 Hz in the condition of no mold oscillation, was demonstrated in this work. In fact, three basic waves were found: long-wave with low frequency, middle-wave with middle frequency, and short-wave with high frequency. In addition, the upper roll flow in mold had significant effect on meniscus fluctuation. When the position of flow impinged was far from the meniscus, long-wave dominated the fluctuation and the stability of meniscus was enhanced. However, when the velocity of flow was increased, the short-wave dominated the meniscus fluctuation and the meniscus stability was decreased.

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Abbreviations

\( \bar{H} \) :

Average wave-amplitude

H rms :

Root-mean-square wave-amplitude

H s :

Significant wave-amplitude, or 1/3 wave-amplitude

Re :

Reynolds number

Fr :

Froude number

v :

Flow velocity

g :

Gravity

L :

Characteristic length

λ :

Characteristic length ratio

w :

Water model

s :

Steel caster

d :

SEN inner diameter

Q :

Flow rate

f(t):

Original wave signal

W f (a, b):

Wavelet transform of original signal

a :

Scale factor

b :

Position factor

φ(x):

Base wavelet transform function

t :

Time

w 0 :

Dimensionless frequency

|d j (k)|:

The wavelet coefficients squares

E j (k):

Wavelet energy

k :

Scale coefficients

j :

Signal length

P j (k):

Relative wavelet energy for each signal node within 1 to k scale

H j :

Wavelet entropy of all nodes

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Acknowledgments

National Key Research and Development Program (2017YFB0304905).

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Authors and Affiliations

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

    Kaitian Zhang, Jianhua Liu & Chao Xiao

  2. Collaborative Innovation Center of Steel Technology, University of Science and Technology Beijing, Beijing, 100083, China

    Heng Cui

Authors
  1. Kaitian Zhang
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  2. Jianhua Liu
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  3. Heng Cui
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  4. Chao Xiao
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Corresponding author

Correspondence to Heng Cui.

Additional information

Manuscript submitted September 27, 2017.

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Zhang, K., Liu, J., Cui, H. et al. Analysis of Meniscus Fluctuation in a Continuous Casting Slab Mold. Metall Mater Trans B 49, 1174–1184 (2018). https://doi.org/10.1007/s11663-018-1236-5

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