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Numerical Study on Bubble Motion in Pore Structure under Microgravity Using the Lattice Boltzmann Method

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Abstract

This paper reports on a study of bubble motion in a regularly spaced pore structure under microgravity using the lattice Boltzmann method (LBM). Initially, a single bubble’s motion is derived; then the simulation is extended for two-bubble dynamics. By considering a gas-liquid two-phase flow, the interaction force (namely the fluid-fluid cohesive force and fluid-solid adhesive force) is derived using the Shan-Chen model with multicomponent single relaxation. This determines the interaction forces governing a single bubble’s dynamics in the porous structure. Then the primary parameters that influence bubble motion are studied, such as the bubble’s diameter, distance between adjacent cells, arrangement between cells, and the effects of flow-field characteristics on single-bubble motion. The simulation developed for single-bubble motion provides the basis for studying a two-bubble system’s motion trajectory and coalescence behavior. By employing the aforementioned analysis, the proposed approach optimizes porous media’s structural parameters under microgravity, resulting in increased bubble movement speed and an enhanced two-phase flow in porous media.

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Abbreviations

c :

Lattice unit velocity

c s :

Lattice speed of sound

e i :

Lattice velocity

f i :

Probability density distribution functions

F :

Force

g :

Lattice gravity

\( {g}_{k\overline{k}} \) :

The interaction force strength between the kth and \( {\overline{k}}^{\mathrm{th}} \) component

P :

Pressure

t :

Time

△u k :

The variation in velocity

w i :

Weight coefficient

x :

Position

ρ :

Density

υ :

Kinematic viscosity

δt :

Lattice time step

δx :

Lattice spacing

τ :

Relaxation time

ψ:

Weighting function

σ :

Surface tension coefficient

l :

Liquid

g :

Gas

eq :

Equilibrium

k :

The kth component

Re b :

Reynolds number for bubble

Ca b :

CAPILLARY number for bubble

Г :

The density ratio between the liquid and the gas phase

M :

The viscosity ratio between the liquid and the gas phase

Eo :

Eotvos number

Mo :

Morton number

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Acknowledgements

This work is financially supported by National Natural Science Foundation of China (No. 51606037), Natural Science Foundation of Jiangsu Province (No. BK20160687), and China’s Manned Space Program (TZ-1).

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  1. School of Energy and Environment, Southeast University, Nanjing, 210096, China

    Juan Shi, Qiang Ma & Zhenqian Chen

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  1. Juan Shi
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  2. Qiang Ma
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Correspondence to Zhenqian Chen.

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Shi, J., Ma, Q. & Chen, Z. Numerical Study on Bubble Motion in Pore Structure under Microgravity Using the Lattice Boltzmann Method. Microgravity Sci. Technol. 31, 207–222 (2019). https://doi.org/10.1007/s12217-019-9681-6

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