A reduction-consistent phase field model for non-isothermal multiphase flows of N immiscible incompressible fluids
Xiao, Yao2; Zeng, Zhong2; Zhang, Liangqi2; Wang, Jingzhu1; Wang, Yiwei1; Huang, Chenguang1
刊名INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
2024-08-15
卷号228页码:27
关键词Thermocapillary flow N -phase flows Phase field method Spectral element method
ISSN号0017-9310
DOI10.1016/j.ijheatmasstransfer.2024.125657
通讯作者Zeng, Zhong(zzeng@cqu.edu.cn) ; Zhang, Liangqi(zhangliangqi@cqu.edu.cn)
英文摘要In this study, we developed a reduction-consistent phase field model for non-isothermal incompressible N-phase flows. The model is based on the high-order spectral element method. To account for thermocapillary effects, we reformulated the continuum surface force model specifically for N-phase flows. In order to enhance computational efficiency, time-independent coefficient matrices for all variables involved were reconstructed, and an unsymmetrized multifrontal LU factorization was employed to solve the linear algebraic equations, which is derived by discretization. To verify the model effectiveness in calculating surface tension and describing threephase interfacial dynamics, we conducted several experiments, including the stationary two-droplet example, the three-phase droplet spreading, and the equilibrium morphology of double emulsion droplet. Through these experiments, both the reduction-consistency and robustness of our model were demonstrated. Moreover, we validated the proposed model's applicability to non-isothermal three-phase flows by investigating the thermocapillary migration of single droplet and two droplets of different phases. Notably, we explored the thermocapillary migration of three-phase double droplets, focusing particularly on how the encapsulation process affects overall thermocapillary motion. Our findings indicate that the interaction between the two vortices near the interfaces of the two droplets strongly influences their migration behavior.
资助项目National Natural Science Foundation of China[12172070] ; National Natural Science Foundation of China[12102071] ; Chongqing Doctoral Through Train Program[CSTB2022BSXM-JCX0086]
WOS关键词TENSION FORCE FORMULATION ; DIFFUSE-INTERFACE METHOD ; BOLTZMANN FLUX SOLVER ; 2-PHASE FLOWS ; BENCHMARK COMPUTATIONS ; EMULSION DROPLETS ; ALLEN-CAHN ; ALGORITHM ; SIMULATION ; GENERATION
WOS研究方向Thermodynamics ; Engineering ; Mechanics
语种英语
WOS记录号WOS:001240704300001
资助机构National Natural Science Foundation of China ; Chongqing Doctoral Through Train Program
内容类型期刊论文
源URL[http://dspace.imech.ac.cn/handle/311007/95675]  
专题力学研究所_流固耦合系统力学重点实验室(2012-)
通讯作者Zeng, Zhong; Zhang, Liangqi
作者单位1.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China
2.Chongqing Univ, Coll Aerosp Engn, Chongqing 400044, Peoples R China
推荐引用方式
GB/T 7714
Xiao, Yao,Zeng, Zhong,Zhang, Liangqi,et al. A reduction-consistent phase field model for non-isothermal multiphase flows of N immiscible incompressible fluids[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2024,228:27.
APA Xiao, Yao,Zeng, Zhong,Zhang, Liangqi,Wang, Jingzhu,Wang, Yiwei,&Huang, Chenguang.(2024).A reduction-consistent phase field model for non-isothermal multiphase flows of N immiscible incompressible fluids.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,228,27.
MLA Xiao, Yao,et al."A reduction-consistent phase field model for non-isothermal multiphase flows of N immiscible incompressible fluids".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 228(2024):27.
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