An Accurate Phase Field Method for 2-Phase Flow With Soluble Surfactants

CHEN Liming; ZHANG Liangqi; WANG Xiaoshuang; XIAO Yao; ZENG Zong

doi:10.21656/1000-0887.450027

Volume 45 Issue 12

Dec. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(12): 1455-1472

CHEN Liming, ZHANG Liangqi, WANG Xiaoshuang, XIAO Yao, ZENG Zong. An Accurate Phase Field Method for 2-Phase Flow With Soluble Surfactants[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1455-1472. doi: 10.21656/1000-0887.450027

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An Accurate Phase Field Method for 2-Phase Flow With Soluble Surfactants

doi: 10.21656/1000-0887.450027

1. College of Aerospace Engineering, Chongqing University, Chongqing 400044, P.R.China;
2. ShanghaiChongqing Institute of Artificial Intelligence, Chongqing 401332, P.R.China

Funds:

The National Science Foundation of China(12102071；12172070)

Received Date: 2024-02-02
Rev Recd Date: 2024-03-24

Available Online: 2024-12-27

Abstract

Abstract

An accurate phase field method for 2-phase flow with soluble surfactants was developed based on the phase field theory. The key point of this method was the utilization of consistent and conservative mass flux to ensure the conservation of momentum transport across the interface. The finite-volume method was used to discretize the governing equations in their conservative form. The 5th-order WENO scheme was chosen to effectively handle the convective terms, aimed to enhance accuracy and robustness in addressing steep variations in the interfacial region. Furthermore, various 2D difference templates were designed to optimize gradient discretization in the surface tension term. Particularly, with the template corresponding to the lattice Boltzmann D2Q9 model, a notable reduction of the spurious velocity and a significant improvement of the accuracy of surfactant concentration prediction were achieved. Various examples such as static droplets, fusion of 2 droplets, bubble rise with a large density ratio, deformation and breakage of individual droplets in shear flow demonstrate the accuracy, conservative properties, and robustness of the proposed method.
- 2-phase flow,
- phase field method,
- soluble surfactant,
- continuous surface force model

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References(50)

References

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