删除或更新信息,请邮件至freekaoyan#163.com(#换成@)

基于Lagrange-Euler方法的多液滴运动模型

清华大学 辅仁网/2017-07-07

基于Lagrange-Euler方法的多液滴运动模型
张璜,薄涵亮()
Motion of polydispersed droplets predicted by a Lagrangian-Eulerian method
Huang ZHANG,Hanliang BO()
Institute of Nuclear and New Energy Technology,Tsinghua University, Beijing 100084, China

摘要:
HTML
输出: BibTeX | EndNote (RIS)
摘要建立基于Lagrange-Euler方法的多液滴运动模型,数值模拟汽水分离器的分离效率和内部液滴湿度分布。根据多液滴运动特点,选取数目密度函数描述其运动行为。通过分析液滴和流场之间的作用机理,采用δ函数构建液滴运动参数等Lagrange变量和流场参数等Euler变量的联系,从而建立多液滴运动的物理模型,并给出该物理模型的数学描述及数值求解方法。利用该模型计算得到的分离器效率与实验值及商用软件模拟值符合良好,且通过对速度场的分析,认为计算所得的分离器内部湿度分布合理。结果表明: 多液滴运动模型所得结果可靠,该模型的提出为设计和优化分离器的结构提供了强有力的工具。

关键词 液滴,Lagrange-Euler方法,数目密度函数,数值模拟,分离器
Abstract:The movement of polydispersed droplets was simulated using a Lagrangian-Eulerian model to calculate the separation efficiency and the moisture distributions in separators. A number density function was used to describe the motion. The mechanism describing the interaction between the droplets and the flow was developed with a δ-function that related the droplet and flow field parameters in a physical model of the polydispersed droplet motion. The mathematical description and numerical methods for solving the physical model was introduced. The efficiencies of the separators computed from this model fit well with experimental data and commercial CFD software model. The moisture distributions inside the separators predicted by the model are reasonable relative to the velocity fields. Thus, the results from the polydispersed droplet motion model are reliable and can be used to design and optimize separator designs.

Key wordsdropletLagrangian-Eulerian methodnumber density functionnumerical modelingseparators
收稿日期: 2014-03-12 出版日期: 2015-05-15
引用本文:
张璜,薄涵亮. 基于Lagrange-Euler方法的多液滴运动模型[J]. 清华大学学报(自然科学版), 2015, 55(1): 105-114.
Huang ZHANG,Hanliang BO. Motion of polydispersed droplets predicted by a Lagrangian-Eulerian method. Journal of Tsinghua University(Science and Technology), 2015, 55(1): 105-114.
链接本文:
http://jst.tsinghuajournals.com/CN/ http://jst.tsinghuajournals.com/CN/Y2015/V55/I1/105


图表:
特征液滴的示意图(实心圆圈为特征液滴)
波形板形状和内部速度云图
采用C&B模型计算得到的波形板分离效率与实验值的比较
波形板(w=3)全场液滴等效湿度分布
波形板(w=2)全场液滴等效湿度分布
小型旋风分离器示意图
DOP液滴在旋风分离器内的分离效率
旋风分离器在不同入口速度下观测截面上DOP液滴的等效湿度分布
旋风分离器观测截面上速度矢量分布


参考文献:
[1] Crowe C T, Sommerfeld M, Tsuji Y. Multiphase Flows with Droplets and Particles [M]. New York, USA: CRC Press, 1998.
[2] Crowe C T, Stock D E, Sharma M P. The particle-source-in cell /PSI-CELL/ model for gas-droplet flows[J]. Journal of Fluids Engineering, 1977, 99: 325-332.
[3] Elghobashi S. On predicting particle-laden turbulent flows[J]. Applied Science Research, 1994, 52: 309-329
[4] 马超, 薄涵亮. 气泡破裂产生膜液滴现象可视化实验研究[J]. 原子能科学技术, 2012, 46(增刊): 231-235. MA Chao, BO Hanliang. Visualization study of film drops produced by bubble bursting[J]. Atomic Energy Science and Technology, 2012, 46(Suppl): 231-235 (in Chinese).
[5] 庞凤阁, 于瑞侠, 张志俭. 波形板汽水分离器的机理研究[J]. 核动力工程, 1992, 13(3): 9-13. PANG Fengge, YU Ruixia, ZHANG Zhijian. The study of mechanism of corrugated baffles separator[J]. Nuclear Power Engineering, 1992, 13(3): 9-13 (in Chinese).
[6] Kim J C, Lee K W. Experimental study of particle collection by small cyclones[J]. Aerosol Science and Technology, 1990, 12: 1003-1015.
[7] 李嘉. 波形板汽水分离器的理论和实验研究 [D]. 武汉: 华中科技大学, 2007. LI Jia. The Theoretical and Experimental Research of Steam-water Separator with Corrugated Plates [D]. Wuhan: Huazhong University of Science and Technology, 2007.
[8] Rigopoulos S. Population balance modelling of polydispersed particles in reactive flows[J]. Progress in Energy and Combustion Science, 2010, 36: 412-443.
[9] 谢多夫Л И. 连续介质力学, 第1卷 [M]. 第6版. 李植,译. 北京: 高等教育出版社, 2007. Sedov L I. Continuum Mechanics: Volume 1 [M]. 6th Ed. Translated by LI Zhi. Beijing: Higher Education Press, 2007.
[10] Pope S B. Turbulent Flows [M]. New York, USA: Cambridge University Press, 2000.
[11] Subramaniam S. Statistical modeling of sprays using the droplet distribution function[J]. Physics of Fluids, 2001, 13(3): 624-642
[12] 张谨奕, 薄涵亮, 孙玉良, 等. 三维空间液滴运动模型[J]. 清华大学学报: 自然科学版, 2013, 53(1): 96-101. ZHANG Jinyi, BO Hanliang, SUN Yuliang, et al.Three-dimensional droplet motion model[J]. Journal of Tsinghua University: Science and Technology, 2013, 53(1): 96-101 (in Chinese).
[13] 张兆顺, 崔桂香. 流体力学[M]. 第2版. 北京: 清华大学出版社, 2006. ZHANG Zhaoshun, CUI Guixiang. Fluid Mechanics [M]. 2nd Ed. Beijing: Tsinghua University Press, 2006.
[14] Zhang H, Liu Q F, Qin B K, et al.Modeling droplet-laden flows in moisture separators using k-d trees[J]. Annals of Nuclear Energy, 2015, 75: 452-461.
[15] 张璜, 薄涵亮. 三维空间液滴运动模型数值解法研究[J]. 原子能科学技术, 2014, 48(5): 818-826. ZHANG Huang, BO Hanliang. Study on numerical algorithm of droplet motion model in three-dimensional space[J]. Atomic Energy Science and Technology, 2014, 48(5): 818-826 (in Chinese).
[16] Galletti C, Brunazzi E, Tognotti L. A numerical model for gas flow and droplet motion in wave-plate mist eliminators with drainage channels[J]. Chemical Engineering Science, 2008, 63: 5639-5652.
[17] ANSYS, Inc. Ansys Fluent Theory Guide[M]. Canonosburg, USA: ANSYS Inc, 2010.


相关文章:
[1]吴韶华,张健. 湍流预混射流火焰直接模拟中入口条件的确定[J]. 清华大学学报(自然科学版), 2014, 54(6): 834-838.

相关话题/运动 计算 空间 北京 实验