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Mathematical Modeling of Heat Transfer in Mold Copper Coupled with Cooling Water During the Slab Continuous Casting Process

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Abstract

The heat transfer in mold copper plays an important role in the solidification behavior of steel. In this study, a three-dimensional heat transfer model coupled with flow behavior of the cooling water was established to analyze the temperature field of the copper and water slots. And this model was verified by the measured temperature rise of cooling water at the inlet and outlet of slots. The advantages of this model were obtained by comparing it with Dittus–Boelter model and the Sleicher–Rouse model, which did not consider the flow of water. The results show that the Dittus–Boelter model has the highest temperature and that the coupled model has the lowest temperature. Moreover, the coupled model includes calculation of the temperature and velocity field of the cooling water inside the slots. This temperature information is very helpful for predicting the water boiling in the slots. In addition, the coupled model shows that the temperature, heat flux, and heat transfer coefficient around the water slot wall are different from the conventional models.

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Abbreviations

λ :

Thermal conductivity, W m-1 K-1

Cp :

Specific heat, J kg−1 K−1

T :

Temperature, K

x :

Coordinate for measure of distance, m

ρ :

Density, kg/m3

u :

Velocity, m/s

P :

Pressure, N/m2

k :

Turbulent kinetic energy, m2/s2

ε :

Dissipation rate of turbulence energy, m2/s3

h :

Heat transfer coefficient, W m−2 K−1

q :

Heat flux, W/m2

g :

Acceleration due to gravity, m/s2

μ :

Kinetic viscosity, kg s−1 m−1

c :

Copper

w :

Water

M :

The first near-wall node M in water

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Acknowledgments

This work is financially supported by the Fundamental Research Funds for the Central Universities of China, Project No. CDJZR12110037, and the Natural Science Foundation of China, Project No. 51374260.

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Authors and Affiliations

  1. Laboratory of Metallurgy and Materials, College of Materials Science and Engineering, Chongqing University, Chongqing, 400030, P.R. China

    Xin Xie (Ph.D. Student), Dengfu Chen (Professor), Haijun Long (Master Students), Mujun Long (Lecturer) & Kui Lv (Master Students)

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  1. Xin Xie
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  2. Dengfu Chen
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  3. Haijun Long
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Correspondence to Dengfu Chen.

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Manuscript submitted December 18, 2013.

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Xie, X., Chen, D., Long, H. et al. Mathematical Modeling of Heat Transfer in Mold Copper Coupled with Cooling Water During the Slab Continuous Casting Process. Metall Mater Trans B 45, 2442–2452 (2014). https://doi.org/10.1007/s11663-014-0127-7

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