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Mathematical Modelling of Solidification in a Curved Strand During Continuous Casting of Steel

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Abstract

A two dimensional fluid flow, heat transfer and solidification model has been developed for a curved shape continuous steel slab caster. The strand has been divided in various sections depending upon cooling conditions in the mold and Secondary Cooling Zone (SCZ). The model was validated against the experimental results reported in the literature for solid shell thickness in the mold. CFD software ANSYS Fluent has been used for solving the differential equations of heat transfer and fluid flow. Surface temperature distribution has been predicted while; the thickness of solid shell formed in the mold and SCZ has been calculated by finding the liquid fraction of steel within the domain. Process parameters such as, casting speed and cooling rate has been varied to analyse their effects on metallurgical length and solid shell thickness at the mold exit. The analysis was based on keeping the shell thickness between 10 and 14 mm at mold exit and metallurgical length less than the cut-off length but having complete solidification after the straightening zone.

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Abbreviations

H :

Enthalpy of the material

h :

Sensible heat

∆H :

Enthalpy of solidification

L :

Latent heat of material

β :

Liquid fraction

h ref :

Reference enthalpy

T ref :

Reference temperature

K eff :

Effective conductivity

c p :

Specific heat

ρ :

Density

\(\bar{u}\) :

Velocity vector

Q L :

Source term

\(\bar{u}_{pull}\) :

Pull velocity vector

f s :

Solid fraction

T solidus :

Solidus temperature

T liquidus :

Liquidus temperature

T :

Temperature at present zone

μ eff :

Effective viscosity

μ l :

Dynamic viscosity

μ t :

Turbulent viscosity

S :

Momentum sink term

A mush :

Mushy zone constant

k :

Turbulent kinetic energy

ε :

Dissipation rate

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Acknowledgment

This paper a revised and expanded version of an article entitled, “Mathematical Modelling of Solidification in a Curved Strand during Continuous Casting of Steel” presented in “5th International and 26th All India Manufacturing Technology, Design and Research” Conference held at Indian Institute of Technology Guwahati, India during December 12–14, 2014.

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Authors and Affiliations

  1. Mechanical and Industrial Engineering Department, Indian Institute of Technology Roorkee, Roorkee, 247667, Uttarakhand, India

    Ambrish Maurya & Pradeep Kumar Jha

Authors
  1. Ambrish Maurya
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  2. Pradeep Kumar Jha
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Correspondence to Ambrish Maurya.

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Maurya, A., Jha, P.K. Mathematical Modelling of Solidification in a Curved Strand During Continuous Casting of Steel. J. Inst. Eng. India Ser. C 98, 45–52 (2017). https://doi.org/10.1007/s40032-016-0322-1

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  • DOI: https://doi.org/10.1007/s40032-016-0322-1

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