Two-Way PBM–Euler Model for Gas and Liquid Flow in the Ladle

Ladle metallurgy is an important steelmaking technology in high-quality steel production. The blowing of argon at the ladle bottom has been applied in ladle metallurgy for several decades. Until now, the issue of breakage and coalescence among bubbles was still far from being solved. In order to hav...

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Main Authors: Han Zhang, Hong Lei, Changyou Ding, Shifu Chen, Yuanyou Xiao, Qiang Li
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/16/10/3782
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author Han Zhang
Hong Lei
Changyou Ding
Shifu Chen
Yuanyou Xiao
Qiang Li
author_facet Han Zhang
Hong Lei
Changyou Ding
Shifu Chen
Yuanyou Xiao
Qiang Li
author_sort Han Zhang
collection DOAJ
description Ladle metallurgy is an important steelmaking technology in high-quality steel production. The blowing of argon at the ladle bottom has been applied in ladle metallurgy for several decades. Until now, the issue of breakage and coalescence among bubbles was still far from being solved. In order to have a deep insight into the complex process of fluid flow in the gas-stirred ladle, the Euler–Euler model and population balance model (PBM) are coupled to investigate the complex fluid flow in the gas-stirred ladle. Here, the Euler–Euler model is applied to predict the two-phase flow, and PBM is applied to predict the bubble and size distribution. The coalescence model, which considers turbulent eddy and bubble wake entrainment, is taken into account to determine the evolution of the bubble size. The numerical results show that if the mathematical model ignores the breakage of bubbles, the mathematical model gives the wrong bubble distribution. For bubble coalescence in the ladle, turbulent eddy coalescence is the main mode, and wake entrainment coalescence is the minor mode. Additionally, the number of the bubble-size group is a key parameter for describing the bubble behavior. The size group number 10 is recommended to predict the bubble-size distribution.
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spelling doaj.art-26fe0fef9b7145148661a418af3a7a452023-11-18T02:16:05ZengMDPI AGMaterials1996-19442023-05-011610378210.3390/ma16103782Two-Way PBM–Euler Model for Gas and Liquid Flow in the LadleHan Zhang0Hong Lei1Changyou Ding2Shifu Chen3Yuanyou Xiao4Qiang Li5Key Laboratory of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang 110004, ChinaKey Laboratory of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang 110004, ChinaKey Laboratory of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang 110004, ChinaKey Laboratory of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang 110004, ChinaKey Laboratory of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang 110004, ChinaSchool of Metallurgy, Northeastern University, Shenyang 110004, ChinaLadle metallurgy is an important steelmaking technology in high-quality steel production. The blowing of argon at the ladle bottom has been applied in ladle metallurgy for several decades. Until now, the issue of breakage and coalescence among bubbles was still far from being solved. In order to have a deep insight into the complex process of fluid flow in the gas-stirred ladle, the Euler–Euler model and population balance model (PBM) are coupled to investigate the complex fluid flow in the gas-stirred ladle. Here, the Euler–Euler model is applied to predict the two-phase flow, and PBM is applied to predict the bubble and size distribution. The coalescence model, which considers turbulent eddy and bubble wake entrainment, is taken into account to determine the evolution of the bubble size. The numerical results show that if the mathematical model ignores the breakage of bubbles, the mathematical model gives the wrong bubble distribution. For bubble coalescence in the ladle, turbulent eddy coalescence is the main mode, and wake entrainment coalescence is the minor mode. Additionally, the number of the bubble-size group is a key parameter for describing the bubble behavior. The size group number 10 is recommended to predict the bubble-size distribution.https://www.mdpi.com/1996-1944/16/10/3782PBMcoalescence modeltwo-phase flowbubble behaviorgas-stirred ladleOpenFOAM
spellingShingle Han Zhang
Hong Lei
Changyou Ding
Shifu Chen
Yuanyou Xiao
Qiang Li
Two-Way PBM–Euler Model for Gas and Liquid Flow in the Ladle
Materials
PBM
coalescence model
two-phase flow
bubble behavior
gas-stirred ladle
OpenFOAM
title Two-Way PBM–Euler Model for Gas and Liquid Flow in the Ladle
title_full Two-Way PBM–Euler Model for Gas and Liquid Flow in the Ladle
title_fullStr Two-Way PBM–Euler Model for Gas and Liquid Flow in the Ladle
title_full_unstemmed Two-Way PBM–Euler Model for Gas and Liquid Flow in the Ladle
title_short Two-Way PBM–Euler Model for Gas and Liquid Flow in the Ladle
title_sort two way pbm euler model for gas and liquid flow in the ladle
topic PBM
coalescence model
two-phase flow
bubble behavior
gas-stirred ladle
OpenFOAM
url https://www.mdpi.com/1996-1944/16/10/3782
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AT changyouding twowaypbmeulermodelforgasandliquidflowintheladle
AT shifuchen twowaypbmeulermodelforgasandliquidflowintheladle
AT yuanyouxiao twowaypbmeulermodelforgasandliquidflowintheladle
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