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Technical Briefs

# Mathematical Modeling of Transport Processes in Funnel Shaped Mold of Steel Thin Slab Continuous Caster

[+] Author and Article Information
A. Hajari1

Center of Excellence for Advanced Materials and Processing, School of Metallurgy and Materials Engineering, Iran University of Science and Technology (IUST), Tehran 16844-1314, Iranahadjari@isst.org

S. H. Seyedein

Center of Excellence for Advanced Materials and Processing, School of Metallurgy and Materials Engineering, Iran University of Science and Technology (IUST), Tehran 16844-1314, Iranseyedein@iust.ac.ir

Center of Excellence for Advanced Materials and Processing, School of Metallurgy and Materials Engineering, Iran University of Science and Technology (IUST), Tehran 16844-1314, Iranmrezab@iust.ac.ir

1

Corresponding author.

J. Heat Transfer 133(6), 064503 (Mar 02, 2011) (5 pages) doi:10.1115/1.4003434 History: Received February 05, 2010; Revised January 04, 2011; Published March 02, 2011; Online March 02, 2011

## Abstract

In this work a three-dimensional fluid flow and heat transfer model was developed to predict the flow pattern and superheat dissipation in funnel shaped mold of a thin slab continuous caster with a novel tetrafurcated design for the submerged entry nozzle. Low Reynolds $k−ε$ turbulent model was adopted to account for the turbulent effect. The transport equations were solved numerically using finite volume method. The results were compared with a full scale water model of the caster. Good agreement between mathematical and physical models was obtained. Parametric studies were carried out to evaluate the effect of casting speed, nozzle submergence depth, and inlet temperature on the superheat dissipation, flow pattern, and surface turbulence in the mold region. The results indicate a special flow pattern and heat distribution in the caster while using a tetrafurcated nozzle. Aiming to achieve more product capacity, in the case of casting with lower superheat temperature, a higher casting speed, together with higher submergence depth, is recommended in order to avoid surface turbulence and high heat flux across the narrow face.

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## Figures

Figure 1

A schematic of part of the continuous casting process

Figure 2

Schematic representation of the mold and computational domain used in this study

Figure 3

A schematic of the grid used for the computational work

Figure 5

(a) Flow pattern in the mold region obtained from full scale physical model of the caster with die injection. (b) Comparison of computed fluid velocity with that obtained from the physical model: velocities beside the SEN near the top surface and impinging velocities toward the narrow face.

Figure 6

The effect of nozzle submergence depth on maximum wave height, taken as surface turbulence

Figure 7

Flow pattern in the X−Y symmetry plane at casting speed of 3.5 m/min and temperature distribution during superheat dissipation at casting speed of 3.5 m/min and superheat temperature of 30°C

Figure 8

(a) The effect of superheat temperature on the heat flux at narrow face. (b) The effect of casting speed on the heat flux at narrow face. (c) The effect of nozzle submergence depth on the heat flux at narrow face.

Figure 4

Flow pattern in the upper part of the caster machine with casting speed of 3.5 m/min with 30 cm nozzle submergence depth representing the circulation fields: (a) three-dimensional view of velocity vectors and (b) two-dimensional view of the flow field in X−Y symmetry plane

## Errata

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