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Mathematical modeling of flows in large tundish systems in steelmaking

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Abstract

Numerical solutions of the three-dimensional turbulent Navier-Stokes equations, incorporating thek-ε turbulence model, are presented for the turbulent flow of liquid within a tundish of high aspect ratio. Experimental results, obtainedvia Laser-Doppler anemometry and flow visualization techniques, are also reported. Calculated flow fields were shown to be similar to corresponding experimental flow fields. Such results can provide useful technological information regarding the design of tundishes in the steel industry for optimization of steel cleanliness.

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Abbreviations

E :

empirical constant in logarithmic law of wall

G :

generation of turbulent energy: kg/(m - s3)

g :

acceleration due to gravity: m/s2

H :

height of tundish: m

K 3 :

empirical constants in thek−ε turbulence model

k :

turbulence kinetic energy: m2/s2

L :

total length of tundish: m

P :

pressure: kg/(m s2)

U t :

mean velocity ini = x, y, or z directions (tensor notation: m/s)

U j :

mean velocity inj direction,(j = i) (tensor notation: m s−1)

W :

total width of the tundish

X,Y,Z :

lateral (length), vertical, and width directed coordinates with respect to a rectangular tundish

X i :

direction in tensorial formi = 1,2,3 corresponding toX,y,Z,...

ε :

turbulence energy dissipation: m2/s3

μ :

dynamic viscosity: kg/(m - s)

ρ :

density of liquid: kg m−3

σ k , σ v :

Schmidt number fork and ε

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Authors and Affiliations

  1. Department of Mechanical Engineering, Princeton University, Vancouver, BC, Canada

    K. Y. M. Lai (Research Associate)

  2. Department of Mechanical Engineering, University of British Columbia, Vancouver, BC, Canada

    M. Salcudean (Professor and Head)

  3. Nippon Steel Corporation, Japan

    S. Tanaka (Research Engineer)

  4. Department of Metallurgical Engineering, McGill University, Montreal, PQ, Canada

    R. I. L. Guthrie (Macdonald Professor)

Authors
  1. K. Y. M. Lai
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  2. M. Salcudean
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  3. S. Tanaka
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  4. R. I. L. Guthrie
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Lai, K.Y.M., Salcudean, M., Tanaka, S. et al. Mathematical modeling of flows in large tundish systems in steelmaking. Metall Trans B 17, 449–459 (1986). https://doi.org/10.1007/BF02670209

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  • DOI: https://doi.org/10.1007/BF02670209

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