A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility

Zhang, Chunhua1; Guo, Zhaoli2; Wang, Lian-Ping3

2023-11-15

10.1016/j.camwa.2023.09.006

COMPUTERS & MATHEMATICS WITH APPLICATIONS   Impact Factor & Quartile

0898-1221

1873-7668

In this paper, we aim to develop a thermodynamically consistent diffuse interface model for two-phase multicomponent fluids with partial miscibility based on the second law of thermodynamics. The resulting governing equations consist of the Allen-Cahn equation for the order parameter representing the phase volume fraction, the Cahn-Hilliard equation for the molar fraction of each component in the mixture, and the full NavisStokes equations coupled with the surface tension force for the velocity and pressure fields. Compared with the previous models, both the phase interface and the molar concentration can be captured simultaneously, and the derived governing equations guarantee thermodynamic consistency. Then, a lattice Boltzmann method is presented to numerically solve the proposed mathematical model. Several numerical simulations are performed to demonstrate the capabilities of the developed model.

Diffuse interface model Partial miscibility Phase field equation Thermodynamically consistent Lattice Boltzmann method

SCI

English

Others

China Postdoctoral Science Foundation[2022M711478] ; National Natural Science Foundation of China["51836003","91852205","11961131006"] ; NSFC Basic Science center Program[11988102] ; Taizhou-Shenzhen Innovation Center, Guangdong Provincial Key Laboratory of Turbulence Research and Applications[2019B21203001] ; Guangdong-Hong Kong-Macao Joint Laboratory for Data-Driven Fluid Mechanics and Engineering Applications[2020B1212030001] ; Shenzhen Science and Technology Program[KQTD20180411143441009]

Mathematics

Mathematics, Applied

WOS:001084687300001

PERGAMON-ELSEVIER SCIENCE LTD

MATHEMATICS

Web of Science

1.North Univ China, Sch Energy & Power Engn, Taiyuan 030051, Shanxi, Peoples R China
2.Huazhong Univ Sci & Technol, Inst Multidisciplinary Res Math & Appl Sci, Wuhan 430074, Peoples R China
3.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Guangdong Prov Key Lab Turbulence Res & Applicat, Shenzhen 518055, Guangdong, Peoples R China

Zhang, Chunhua,Guo, Zhaoli,Wang, Lian-Ping. A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2023,150.

Zhang, Chunhua,Guo, Zhaoli,&Wang, Lian-Ping.(2023).A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility.COMPUTERS & MATHEMATICS WITH APPLICATIONS,150.

Zhang, Chunhua,et al."A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility".COMPUTERS & MATHEMATICS WITH APPLICATIONS 150(2023).