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Coupled lattice Boltzmann method–discrete element method model for gas–liquid–solid interaction problems

Published online by Cambridge University Press:  20 November 2023

Linlin Fei Open the ORCID record for Linlin Fei [Opens in a new window] ,
Feifei Qin Open the ORCID record for Feifei Qin [Opens in a new window] ,
Geng Wang ,
Jingwei Huang ,
Binghai Wen Open the ORCID record for Binghai Wen [Opens in a new window] ,
Jianlin Zhao Open the ORCID record for Jianlin Zhao [Opens in a new window] ,
Kai H. Luo Open the ORCID record for Kai H. Luo [Opens in a new window] ,
Dominique Derome  and
Jan Carmeliet
Linlin Fei
Affiliation:
Department of Mechanical and Process Engineering, ETH Zürich (Swiss Federal Institute of Technology in Zürich), Zürich 8092, Switzerland
Feifei Qin*
Affiliation:
Department of Mechanical and Process Engineering, ETH Zürich (Swiss Federal Institute of Technology in Zürich), Zürich 8092, Switzerland Institute of Extreme Mechanics and School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, PR China
Geng Wang
Affiliation:
Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK
Jingwei Huang
Affiliation:
Department of Petroleum Engineering, China University of Geosciences (Wuhan), Wuhan, PR China
Binghai Wen
Affiliation:
Guangxi Key Lab of Multi-Source Information Mining & Security, Guangxi Normal University, Guilin 541004, PR China
Jianlin Zhao
Affiliation:
Department of Mechanical and Process Engineering, ETH Zürich (Swiss Federal Institute of Technology in Zürich), Zürich 8092, Switzerland College of Petroleum Engineering, China University of Petroleum in Beijing, PR China
Kai H. Luo
Affiliation:
Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK
Dominique Derome
Affiliation:
Department of Civil and Building Engineering, Université de Sherbrooke, Sherbrooke, QC, Canada
Jan Carmeliet
Affiliation:
Department of Mechanical and Process Engineering, ETH Zürich (Swiss Federal Institute of Technology in Zürich), Zürich 8092, Switzerland
*
†Email address for correspondence: fqin@nwpu.edu.cn
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Abstract

In this paper, we propose a numerical model to simulate gas–liquid–solid interaction problems, coupling the lattice Boltzmann method and discrete element method (LBM–DEM). A cascaded LBM is used to simulate the liquid–gas flow field using a pseudopotential interaction model for describing the liquid–gas multiphase behaviour. A classical DEM resorting to fictitious overlaps between the particles is used to simulate the multiple-solid-particle system. A multiphase fluid–solid two-way coupling algorithm between LBM and DEM is constructed. The model is validated by four benchmarks: (i) single disc sedimentation, (ii) single floating particle on a liquid–gas interface, (iii) sinking of a horizontal cylinder and (iv) self-assembly of three particles on a liquid–gas interface. Our simulations agree well with the numerical results reported in the literature. Our proposed model is further applied to simulate droplet impact on deformable granular porous media at pore scale. The dynamic droplet spreading process, the deformation of the porous media (composed of up to 1277 solid particles) as well as the invasion of the liquid into the pores are well captured, within a wide range of impact Weber number. The droplet spreading dynamics on particles is analysed based on the energy budget, which reveals mechanisms at play, showing the evolution of particle energy, surface energy and viscous dissipation energy. A scaling relation based on the impact Weber number is proposed to describe the maximum spreading ratio.

JFM classification

Drops and Bubbles: Drops Low-Reynolds-number flows: Porous media Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 975 , 25 November 2023 , A20
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Copyright
© The Author(s), 2023. Published by Cambridge University Press.

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Fei et al. Supplementary Movie 1

Droplet impact on a deformable porous medium at Re=240 and We=4.4 with contact angle θ=90°.

Download Fei et al. Supplementary Movie 1(Video)
Video 1.8 MB

Fei et al. Supplementary Movie 2

Droplet impact on a deformable porous medium at Re=240 and We=4.4 with contact angle θ=60°.

Download Fei et al. Supplementary Movie 2(Video)
Video 1.8 MB

Fei et al. Supplementary Movie 3

Droplet impact on a deformable porous medium at Re=240 and We=33.6 with contact angle θ=90°.

Download Fei et al. Supplementary Movie 3(Video)
Video 1.4 MB

Fei et al. Supplementary Movie 4

Droplet impact on a deformable porous medium at Re=240 and We=33.6 with contact angle θ=60°.

Download Fei et al. Supplementary Movie 4(Video)
Video 1.6 MB

Fei et al. Supplementary Movie 5

Droplet impact on a deformable porous medium at Re=240 and We=151.3 with contact angle θ=90°.

Download Fei et al. Supplementary Movie 5(Video)
Video 1.3 MB

Fei et al. Supplementary Movie 6

Droplet impact on a deformable porous medium at Re=240 and We=151.3 with contact angle θ=60°.
Download Fei et al. Supplementary Movie 6(Video)
Video 1.3 MB

Fei et al. Supplementary Movie 7

Droplet impact on a deformable porous medium at Re=500 and We=250 with contact angle θ=60°.

Download Fei et al. Supplementary Movie 7(Video)
Video 2.4 MB