Study of imbibition in various geometries using phase field method

Q1 Physics and Astronomy

Capillarity Pub Date : 2019-12-25 DOI:10.26804/capi.2019.04.01

Junfeng Xiao, Youming Luo, Muyuan Niu, Wang Qiang, Wu Jiali, Liu Xiang, Jianfeng Xu

{"title":"Study of imbibition in various geometries using phase field method","authors":"Junfeng Xiao, Youming Luo, Muyuan Niu, Wang Qiang, Wu Jiali, Liu Xiang, Jianfeng Xu","doi":"10.26804/capi.2019.04.01","DOIUrl":null,"url":null,"abstract":"Phase field method has been widely utilized to study multiphase flow problems, but has seldom been applied to the study of imbibition. Previous methods used to simulate imbibition, such as moving mesh method, need to specify capillary pressure as a boundary condition a priori, whereas phase field method can calculate capillary pressure automatically for various geometries. Therefore, phase field method would be a versatile tool for the study of imbibition in various geometries. In this paper, phase field method is employed to solve dynamical imbibition problem in various geometries, including straight tube, conical tube and structures in which the topology changes. The variation of the imbibition height with respect to time from phase field simulation is verified with theoretical predictions from Lucas-Washburn law in a straight capillary tube with three gravitational scenarios. In addition, the capillary pressure and velocity field are found to be consistent with Laplace-Young equation and Hagen-Poiseuille equation in various geometries. The applicability and accuracy of the phase field method for the study of imbibition in structures with changing topology are also discussed. Cited as : Xiao, J., Luo, Y., Niu, M., Wang, Q., Wu, J., Liu, X., Xu, J. Study of imbibition in various geometries using phase field method. Capillarity, 2019, 2(4): 57-65, doi: 10.26804/capi.2019.04.01.","PeriodicalId":34047,"journal":{"name":"Capillarity","volume":"65 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Capillarity","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26804/capi.2019.04.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}

引用次数: 15

Abstract

Phase field method has been widely utilized to study multiphase flow problems, but has seldom been applied to the study of imbibition. Previous methods used to simulate imbibition, such as moving mesh method, need to specify capillary pressure as a boundary condition a priori, whereas phase field method can calculate capillary pressure automatically for various geometries. Therefore, phase field method would be a versatile tool for the study of imbibition in various geometries. In this paper, phase field method is employed to solve dynamical imbibition problem in various geometries, including straight tube, conical tube and structures in which the topology changes. The variation of the imbibition height with respect to time from phase field simulation is verified with theoretical predictions from Lucas-Washburn law in a straight capillary tube with three gravitational scenarios. In addition, the capillary pressure and velocity field are found to be consistent with Laplace-Young equation and Hagen-Poiseuille equation in various geometries. The applicability and accuracy of the phase field method for the study of imbibition in structures with changing topology are also discussed. Cited as : Xiao, J., Luo, Y., Niu, M., Wang, Q., Wu, J., Liu, X., Xu, J. Study of imbibition in various geometries using phase field method. Capillarity, 2019, 2(4): 57-65, doi: 10.26804/capi.2019.04.01.

查看原文本刊更多论文

用相场法研究不同几何形状的渗吸

相场法被广泛应用于研究多相流问题，但很少应用于研究渗吸问题。以往模拟渗吸的方法，如移动网格法，需要预先指定毛管压力作为边界条件，而相场法可以自动计算各种几何形状的毛管压力。因此，相场法将成为研究各种几何形状吸积的通用工具。本文采用相场法求解了直管、锥形管和拓扑变化结构等不同几何形状下的动态渗吸问题。用卢卡斯-沃什伯恩定律的理论预测验证了相场模拟所得的吸积高度随时间的变化规律。此外，毛细管压力场和速度场在各种几何形状下都符合拉普拉斯-杨方程和Hagen-Poiseuille方程。讨论了相场法在变化拓扑结构中吸吮研究的适用性和准确性。引用本文:肖军，罗，杨，牛，明，王，强，吴，健，刘，祥，徐军。用相场法研究不同几何形状的渗吸。毛细管学，2019,2(4):57-65,doi: 10.26804/capi.2019.04.01。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Capillarity Physics and Astronomy-Surfaces and Interfaces

CiteScore

7.10

自引率

0.00%

发文量

审稿时长

2~3 weeks

期刊介绍： Capillarity publishes high-quality original research articles and current reviews on fundamental scientific principles and innovations of capillarity in physics, chemistry, biology, environmental science and related emerging fields. All advances in theoretical, numerical and experimental approaches to capillarity in capillary tube and interface dominated structure and system area are welcome. The following topics are within (but not limited to) the scope of capillarity: i) Capillary-driven phenomenon in natural/artificial tubes, porous and nanoporous materials ii) Fundamental mechanisms of capillarity aided by theory and experiments iii) Spontaneous imbibition, adsorption, wicking and related applications of capillarity in hydrocarbon production, chemical process and biological sciences iv) Static and dynamic interfacial processes, surfactants, wettability, film and colloids v) New approaches and technologies on capillarity Capillarity is a quarterly open access journal and free to read for all. The journal provides a communicate platform for researchers who are interested in all fields of capillary phenomenon.