Simulation of interfacial Marangoni convection in gas-liquid mass transfer by lattice Boltzmann method

Abstract

Interfacial Marangoni convection has significant effect on gas-liquid and/or liquid-liquid mass transfer processes. In this paper, an approach based on lattice Boltzmann method is established and two perturbation models, fixed perturbation model and self-renewable interface model, are proposed for the simulation of interfacial Marangoni convection in gas-liquid mass transfer process. The simulation results show that the concentration contours are well consistent with the typical roll cell convection patterns obtained experimentally in previous studies.

Three-dimensional simulation of interfacial convection in CO2–ethanol system by hybrid lattice Boltzmann method with experimental validation

“…In the simulation of solutal interfacial convection, it is crucial to model the forces exerting on the fluid, including the gravity/buoyancy and surface tension [13,25,28]. Here, the force denoted by F, which is the sum of all the external forces, is introduced into the LBM by considering the momentum change in each time step [41,42].…”

“…With a sufficiently fine grid, F σ can also be regarded as a body force exerting on the particles at the liquid surface layer that is assumed to be flat and without deformation [28,29]. For the particles at node O x,y,z at the liquid surface as shown in Fig.…”

“…2, the body force is the result of tensions σ x + 1/2,y,z , σ x − 1/2,y,z , σ x,y,z + 1/2 , and σ x,y,z − 1/2 between node O x,y,z and the adjacent nodes O x + 1,y,z , O x − 1,y,z , O x,y,z + 1 , and O x,y,z − 1 respectively. So, the external force F σ,Ox,y,z exerting on node O x,y,z can be written as [28,29] …”

“…The traditional computational fluid dynamics (CFD) methods, which are based on the numerical solution of conservation equations of macroscopic properties, have been applied to investigate the detailed relationship between solutal interfacial convection and interfacial mass transfer [19][20][21]. Recently, the lattice Boltzmann method (LBM), known as a mesoscale numerical approach, has been successfully employed for the simulation of interfacial convection, including thermal Rayleigh-Bénard convection [22][23][24] and solutal interfacial convection [13,[25][26][27][28], and is found to be suitable and efficient for the simulation of interfacial convection which exhibits some mesoscale features compared with macroscale fluid flows. To overcome the numerical stability limitation in LBM simulation caused by the temperature-velocity or concentration-velocity coupling, hybrid methods, such as the combinations of LBM with finite-difference method (FDM) or with finite-volume method (FVM), have been developed [29][30][31][32] and found to be more effective and flexible than the conventional LBM for the simulations of interfacial convection.…”

Validation of Simulation and Mass Transfer Coefficient Prediction with Interfacial Convection

“…To overcome these disadvantages, several disturbance models in the frame of the lattice Boltzmann method (LBM) were adopted. Fu proposed a two‐equation LBM , then Chen introduced two perturbation models, namely, the fixed‐perturbation model and the self‐renewable interface model based on the former . Then, a hybrid LBM‐FDM was presented by Chen and was found to be superior compared with the two‐equation LBM , and a random‐disturbance model was put forward by Fu for describing the possibility and the magnitude of perturbation at any point on the liquid surface .…”