Numerical Simulation on Insoluble Surfactant Mass Transfer on Deformable Bubble Interface in a Couette Flow by Phase-Field Lattice Boltzmann Method-Finite-Difference Method Hybrid Approach

Hanyang Mo; Yumei Yong; Wenqiang Chen; Jialin Dai; Junbo Xu; Chao Yang

doi:10.1021/acs.langmuir.3c01242

Numerical Simulation on Insoluble Surfactant Mass Transfer on Deformable Bubble Interface in a Couette Flow by Phase-Field Lattice Boltzmann Method-Finite-Difference Method Hybrid Approach

Langmuir. 2023 Oct 31;39(43):15162-15176. doi: 10.1021/acs.langmuir.3c01242. Epub 2023 Aug 29.

Authors

Hanyang Mo^{1

2}, Yumei Yong², Wenqiang Chen², Jialin Dai², Junbo Xu², Chao Yang^{1

2}

Affiliations

¹ Institute of Chemical & Environmental Engineering, China University of Mining and Technology-Beijing, Beijing 100083, China.
² State Key Laboratory of Petroleum Molecular & Process Engineering, CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China.

PMID: 37643070
DOI: 10.1021/acs.langmuir.3c01242

Abstract

Elaborate management on bubble shape and transportations depends on the balance between multiple physical behaviors for two-phase flow with Marangoni stress and the interface mass transfer. In this paper, a new model combining PFLBM (phase-field lattice Boltzmann method) and FDM ( finite-difference method) coupling with the ghost-cell method was built. The PFLBM-FDM was validated for the high accuracy, less computational cost, and low mass loss compared to other methods. Based on the PFLBM-FDM, a surfactant-laden bubble deformed and transported in a laminar Couette flow was investigated. The deformation ratio and transportation velocity were explored with different density ratios, surface tensions, shear velocities, and diffusion coefficients. The numerical results showed that the equilibrium state of the bubble deformation was decided only by the dimensionless numbers when the Sh number was higher than 100. Moreover, the transportation velocity of the bubble can be controlled by the balance between the Marangoni stress and shear velocity. When the Sh is lower than 100, the Marangoni stress from the surfactant is not a long-range force, which only works at the early flow. Otherwise, the Marangoni stress will be a long-range force that provides a persistent force to accelerate the bubble by ∼10%. Increasing Re_H will further intensify the effect. Based on all the data, a correlation of the bubble deformation including with the densities of two fluids was obtained and the error range is less 5%.