Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish

The mechanism of inclusion removal from liquid steel by gas bubbling and bubble attachment in the tundish is complex due to the great number of variables involved, and it is even more difficult to study because of the turbulent flow conditions. The main objective of this work is to analyze and impro...

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Main Authors: H. Arcos-Gutierrez, J. de J. Barreto, S. Garcia-Hernandez, A. Ramos-Banderas
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/534275
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spelling doaj-9afaebf84211494ca5af0c702c3793cf2020-11-24T23:20:08ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/534275534275Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting TundishH. Arcos-Gutierrez0J. de J. Barreto1S. Garcia-Hernandez2A. Ramos-Banderas3Instituto Tecnologico de Morelia, Metallurgy Graduate Center, Av. Tecnologico No. 1500, 58120-Morelia, Michoacan, MexicoInstituto Tecnologico de Morelia, Metallurgy Graduate Center, Av. Tecnologico No. 1500, 58120-Morelia, Michoacan, MexicoInstituto Tecnologico de Morelia, Metallurgy Graduate Center, Av. Tecnologico No. 1500, 58120-Morelia, Michoacan, MexicoInstituto Tecnologico de Morelia, Metallurgy Graduate Center, Av. Tecnologico No. 1500, 58120-Morelia, Michoacan, MexicoThe mechanism of inclusion removal from liquid steel by gas bubbling and bubble attachment in the tundish is complex due to the great number of variables involved, and it is even more difficult to study because of the turbulent flow conditions. The main objective of this work is to analyze and improve the understanding of the alumina inclusion removal rate by bubble attachment and by gas bubbling fluid dynamics effects. The results show that the inclusion collection probability mainly depends on the attachment mechanism by collision. This parameter was determined by calculating the induction time, which is shorter when the rupture time and the formation time of a stable three phases contact (particle/liquid/gas) are ignored than when it is fully considered, affecting the attachment probability. In addition, to achieve acceptable inclusion removal, a smaller bubble diameter is required, such as 1 mm. This consideration is almost impossible to achieve during tundish operation; a more realistic bubble diameter around 10 mm is employed, resulting in a very inefficient inclusion removal process by bubble attachment. Nevertheless, in a real casting tundish the inclusion removal rate employing argon bubbling is efficient; is mainly due to the fluid flow pattern changes rather than bubble attachment. Consequently, it is imperative to consider the summation of both removal mechanisms to compute a better approximation of this important operation.http://dx.doi.org/10.1155/2012/534275
collection DOAJ
language English
format Article
sources DOAJ
author H. Arcos-Gutierrez
J. de J. Barreto
S. Garcia-Hernandez
A. Ramos-Banderas
spellingShingle H. Arcos-Gutierrez
J. de J. Barreto
S. Garcia-Hernandez
A. Ramos-Banderas
Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish
Journal of Applied Mathematics
author_facet H. Arcos-Gutierrez
J. de J. Barreto
S. Garcia-Hernandez
A. Ramos-Banderas
author_sort H. Arcos-Gutierrez
title Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish
title_short Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish
title_full Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish
title_fullStr Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish
title_full_unstemmed Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish
title_sort mathematical analysis of inclusion removal from liquid steel by gas bubbling in a casting tundish
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description The mechanism of inclusion removal from liquid steel by gas bubbling and bubble attachment in the tundish is complex due to the great number of variables involved, and it is even more difficult to study because of the turbulent flow conditions. The main objective of this work is to analyze and improve the understanding of the alumina inclusion removal rate by bubble attachment and by gas bubbling fluid dynamics effects. The results show that the inclusion collection probability mainly depends on the attachment mechanism by collision. This parameter was determined by calculating the induction time, which is shorter when the rupture time and the formation time of a stable three phases contact (particle/liquid/gas) are ignored than when it is fully considered, affecting the attachment probability. In addition, to achieve acceptable inclusion removal, a smaller bubble diameter is required, such as 1 mm. This consideration is almost impossible to achieve during tundish operation; a more realistic bubble diameter around 10 mm is employed, resulting in a very inefficient inclusion removal process by bubble attachment. Nevertheless, in a real casting tundish the inclusion removal rate employing argon bubbling is efficient; is mainly due to the fluid flow pattern changes rather than bubble attachment. Consequently, it is imperative to consider the summation of both removal mechanisms to compute a better approximation of this important operation.
url http://dx.doi.org/10.1155/2012/534275
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