工程科学学报，第38卷，第4期：494500,2016年4月 Chinese Journal of Engineering,Vol.38,No.4:494-500,April 2016 DOI:10.13374/j.issn2095-9389.2016.04.007:http://journals.ustb.edu.cn 基于反算热流的结晶器内流动一传热一凝固耦合模拟 李天衣”，王旭东四，孔令伟”，姚曼”，田勇，魏祖康》，冯巍》， 冯国挥》，钱志友》 1)大连理工大学材料科学与工程学院，大连1160242)鞍钢集团公司，鞍山1140213)南京钢铁股份有限公司，南京210035 ☒通信作者，E-mail:hler@dlut.cdu.cn 摘要基于Navier--Stokes动量方程和湍流低雷诺数k一e方程，综合考虑能量守恒和钢液凝固与糊状区对流动过程的影响， 建立了描述结晶器内钢液流动、传热及凝固过程的三维耦合数学模型.以实测温度和结晶器反问题模型计算出的热流为边 界条件，模拟计算了结晶器内钢水的流动、传热和凝固行为.钢液流动决定结晶器内的温度和热流分布，铸坯凝固受钢液流 动和结晶器热流双重因素的影响.建立的模型以及由此得到的铸坯凝固非均匀特征可为进一步考察浇铸过程中纵裂和其他 表面缺陷提供借鉴和参考. 关键词连涛：结晶器；流动：传热：凝固：反问题 分类号TF777 Simulation of coupled fluid flow,heat transfer and solidification in slab continuous casting molds based on heat flux from an inverse model LI Tian-yi,WANG Xu-dong,KONG Ling-ei,YAO Man",TIAN Yong?,WEI Zu-kang,FENG Wei,FENG Guo-hui, QIAN Zhi-you》 1)School of Materials Science and Engineering,Dalian University of Technology,Dalian 116024,China 2)Anshan Iron and Steel Group Corporation,Anshan 114021,China 3)Nanjing Iron Steel United CO.,LTD.,Nanjing 210035,China Corresponding author,E-mail:hler@dlut.edu.cn ABSTRACT A three-dimensional mathematical model is developed based on the Navier-Stokes momentum equation and the low Reynolds number turbulence equation.This model comprehensively considers energy conservation,molten steel solidification and the influence of the mushy zone on the flow process.Heat flux obtained through an inverse heat transfer model combined with measured temperature is set as the boundary condition to the coupling model,to investigate fluid flow,heat transfer and solidification in the con- tinuous casting mold.It is found that liquid steel flow has important influence on the distributions of temperature and heat flux,and the solidification process is governed by a synthetic action of fluid flow and heat flux.The proposed model and the non-uniform characteris- tic of solidification can provide reference for further investigation on longitudinal cracks and other surface defects during continuous casting. KEY WORDS continuous casting:molds:fluid flow:heat transfer:solidification:inverse problems 近年来，随着桥梁工程、压力容器、海洋平台、大型与日俱增.与小断面的常规板坯和薄板坯相比，中厚 舰船等工业的快速发展，我国对连铸中、厚板坯的需求 板坯的浇铸工艺存在一定差异网，这是由钢种和断 收稿日期：201503-31 基金项目：国家自然科学基金资助项目(51474047)：中国博士后科学基金资助项目(2012M520621/2013T60511)工程科学学报，第 38 卷，第 4 期: 494--500，2016 年 4 月 Chinese Journal of Engineering，Vol． 38，No． 4: 494--500，April 2016 DOI: 10． 13374 /j． issn2095--9389． 2016． 04． 007; http: / /journals． ustb． edu． cn 基于反算热流的结晶器内流动--传热--凝固耦合模拟 李天衣1) ，王旭东1) ，孔令伟1) ，姚 曼1) ，田 勇2) ，魏祖康3) ，冯 巍3) ， 冯国辉3) ，钱志友3) 1) 大连理工大学材料科学与工程学院，大连 116024 2) 鞍钢集团公司，鞍山 114021 3) 南京钢铁股份有限公司，南京 210035  通信作者，E-mail: hler@ dlut． edu． cn 摘 要 基于 Navier--Stokes 动量方程和湍流低雷诺数 k--ε 方程，综合考虑能量守恒和钢液凝固与糊状区对流动过程的影响， 建立了描述结晶器内钢液流动、传热及凝固过程的三维耦合数学模型． 以实测温度和结晶器反问题模型计算出的热流为边 界条件，模拟计算了结晶器内钢水的流动、传热和凝固行为． 钢液流动决定结晶器内的温度和热流分布，铸坯凝固受钢液流 动和结晶器热流双重因素的影响． 建立的模型以及由此得到的铸坯凝固非均匀特征可为进一步考察浇铸过程中纵裂和其他 表面缺陷提供借鉴和参考． 关键词 连涛; 结晶器; 流动; 传热; 凝固; 反问题 分类号 TF777 Simulation of coupled fluid flow，heat transfer and solidification in slab continuous casting molds based on heat flux from an inverse model LI Tian-yi1) ，WANG Xu-dong1)  ，KONG Ling-wei1) ，YAO Man1) ，TIAN Yong2) ，WEI Zu-kang3) ，FENG Wei3) ，FENG Guo-hui3) ， QIAN Zhi-you3) 1) School of Materials Science and Engineering，Dalian University of Technology，Dalian 116024，China 2) Anshan Iron and Steel Group Corporation，Anshan 114021，China 3) Nanjing Iron ＆ Steel United CO． ，LTD． ，Nanjing 210035，China  Corresponding author，E-mail: hler@ dlut． edu． cn ABSTＲACT A three-dimensional mathematical model is developed based on the Navier--Stokes momentum equation and the low Ｒeynolds number turbulence k--ε equation． This model comprehensively considers energy conservation，molten steel solidification and the influence of the mushy zone on the flow process． Heat flux obtained through an inverse heat transfer model combined with measured temperature is set as the boundary condition to the coupling model，to investigate fluid flow，heat transfer and solidification in the con￾tinuous casting mold． It is found that liquid steel flow has important influence on the distributions of temperature and heat flux，and the solidification process is governed by a synthetic action of fluid flow and heat flux． The proposed model and the non-uniform characteris￾tic of solidification can provide reference for further investigation on longitudinal cracks and other surface defects during continuous casting． KEY WOＲDS continuous casting; molds; fluid flow; heat transfer; solidification; inverse problems 收稿日期: 2015--03--31 基金项目: 国家自然科学基金资助项目( 51474047) ; 中国博士后科学基金资助项目( 2012M520621 /2013T60511) 近年来，随着桥梁工程、压力容器、海洋平台、大型 舰船等工业的快速发展，我国对连铸中、厚板坯的需求 与日俱增． 与小断面的常规板坯和薄板坯相比，中厚 板坯的浇铸工艺存在一定差异［1--2］，这是由钢种和断