工程科学学报，第38卷，第8期：1091-1097,2016年8月 Chinese Journal of Engineering,Vol.38,No.8:1091-1097,August 2016 D0l:10.13374/j.issn2095-9389.2016.08.007:http://journals..ustb.edu.cn 基于数值模拟的气液相界面积计算方法 宋彦坡12)四，刘志高”，陶焰明”，彭小奇12”，陈卓” 1)中南大学能源科学与工程学院，长沙410083：2)湖南第一师范学院信息科学与工程学院，长沙410205 ☒通信作者，E-mail:songyanpo@csu.edu.cm 摘要相界面积对气液两相流中传热、传质、物理化学反应等动力学过程影响重大.为获取这一参数，提出一种根据两相 流数值模拟结果计算相界面积的方法.此方法借鉴分段线性重构界面的思想，在各网格单元内以平面近似真实相界曲面，根 据目标流体的体积分数及其梯度向量将网格内相界面形貌归为五类，进而采用不同的方法分别计算各类相界面的面积.在 铜转炉熔池内两相流数值模拟结果分析中的应用效果表明：该方法能有效提取两相流体系中任意区域的相界面积，从而为体 系动力学特征的定量分析提供依据.利用相界面积数据，进一步计算了氧气利用率并识别出熔池内“高效反应区”，计算和识 别结果与工程实际吻合，证实了该方法的准确性 关键词两相流：界面：面积：数值模拟：计算流体力学 分类号TF801.2:0359.1 Computation method of gas-liquid interfacial area based on numerical simulation results SONG Yan-po),LIU Zhi-gao),TAO Yan-ming,PENG Xiao-i),CHEN Zhuo) 1)School of Energy Science and Engineering,Central South University,Changsha 410083,China 2)School of Information Science and Engineering,Hunan First Normal University,Changsha 410205,China Corresponding author,E-mail:songyanpo@csu.edu.cn ABSTRACT The gas-liquid interfacial area has significant influence on kinetic processes,such as heat transfer,mass transfer and physiochemical reactions in two-phase flow.A new method for getting this parameter is introduced to compute the interfacial area with the numerical simulation results of two-phase flow.Referring to the idea of a piecewise linear interface calculation (PLIC)method,it uses a plane in each cell to approximate the real curved interface between two phases,these planes are then categorized into five types according to the volume fractions of the target fluid and their gradient vectors in each cell,and the interfacial areas are respectively calculated by different equations for different plane types.This method is applied in analyzing the numerical simulation results of a copper converter.It is shown that this method can extract the interfacial area of any spatial region effectively in a two-phase flow system and can be used in analyzing the features of kinetic processes quantitatively in a two-phase dispersion system.Moreover,by using the computed interfacial area,the oxygen utilization ratio is calculated and the "highly efficient reaction zone"in the bath is recognized. The results agree with practical data and experience,indicating the accuracy of the proposed method in some extent. KEY WORDS two-phase flow;interfaces;area:numerical simulation:computational fluid dynamics 气液两相流体系是治金及化工领域中的常见体 行，因此较为准确地获取相界面积对研究这类体系中 系，相间的传热、传质以及化学反应主要通过界面进 两相间的动力学特征具有重要意义.目前，气液相界 收稿日期：201509-11 基金项目：国家自然科学基金资助项目(61105080,61273159,61134006)：湖南省科技重大专项资助项目(2013F1009):湖南省自然科学基金 资助项目(114057)：安徽省科技厅重大科技专项(1301021018)工程科学学报，第 38 卷，第 8 期: 1091--1097，2016 年 8 月 Chinese Journal of Engineering，Vol． 38，No． 8: 1091--1097，August 2016 DOI: 10． 13374 /j． issn2095--9389． 2016． 08． 007; http: / /journals． ustb． edu． cn 基于数值模拟的气液相界面积计算方法 宋彦坡1，2) ，刘志高1) ，陶焰明1) ，彭小奇1，2) ，陈 卓1) 1) 中南大学能源科学与工程学院，长沙 410083; 2) 湖南第一师范学院信息科学与工程学院，长沙 410205  通信作者，E-mail: songyanpo@ csu． edu． cn 摘 要 相界面积对气液两相流中传热、传质、物理化学反应等动力学过程影响重大． 为获取这一参数，提出一种根据两相 流数值模拟结果计算相界面积的方法． 此方法借鉴分段线性重构界面的思想，在各网格单元内以平面近似真实相界曲面，根 据目标流体的体积分数及其梯度向量将网格内相界面形貌归为五类，进而采用不同的方法分别计算各类相界面的面积． 在 铜转炉熔池内两相流数值模拟结果分析中的应用效果表明: 该方法能有效提取两相流体系中任意区域的相界面积，从而为体 系动力学特征的定量分析提供依据． 利用相界面积数据，进一步计算了氧气利用率并识别出熔池内“高效反应区”，计算和识 别结果与工程实际吻合，证实了该方法的准确性． 关键词 两相流; 界面; 面积; 数值模拟; 计算流体力学 分类号 TF801. 2; O359. 1 Computation method of gas--liquid interfacial area based on numerical simulation results SONG Yan-po1，2)  ，LIU Zhi-gao1) ，TAO Yan-ming1) ，PENG Xiao-qi1，2) ，CHEN Zhuo1) 1) School of Energy Science and Engineering，Central South University，Changsha 410083，China 2) School of Information Science and Engineering，Hunan First Normal University，Changsha 410205，China  Corresponding author，E-mail: songyanpo@ csu． edu． cn ABSTＲACT The gas--liquid interfacial area has significant influence on kinetic processes，such as heat transfer，mass transfer and physiochemical reactions in two-phase flow． A new method for getting this parameter is introduced to compute the interfacial area with the numerical simulation results of two-phase flow． Ｒeferring to the idea of a piecewise linear interface calculation ( PLIC) method，it uses a plane in each cell to approximate the real curved interface between two phases，these planes are then categorized into five types according to the volume fractions of the target fluid and their gradient vectors in each cell，and the interfacial areas are respectively calculated by different equations for different plane types． This method is applied in analyzing the numerical simulation results of a copper converter． It is shown that this method can extract the interfacial area of any spatial region effectively in a two-phase flow system and can be used in analyzing the features of kinetic processes quantitatively in a two-phase dispersion system． Moreover，by using the computed interfacial area，the oxygen utilization ratio is calculated and the“highly efficient reaction zone”in the bath is recognized． The results agree with practical data and experience，indicating the accuracy of the proposed method in some extent． KEY WOＲDS two-phase flow; interfaces; area; numerical simulation; computational fluid dynamics 收稿日期: 2015--09--11 基金项目: 国家自然科学基金资助项目( 61105080，61273159，61134006) ; 湖南省科技重大专项资助项目( 2013FJ1009) ; 湖南省自然科学基金 资助项目( 11JJ4057) ; 安徽省科技厅重大科技专项( 1301021018) 气液两相流体系是冶金及化工领域中的常见体 系，相间的传热、传质以及化学反应主要通过界面进 行，因此较为准确地获取相界面积对研究这类体系中 两相间的动力学特征具有重要意义． 目前，气液相界