Three-dimensional Lattice Boltzmann Method Simulation of A Large Droplet Impacting A Small Sphere with Different Wettability

doi:10.19596/j.cnki.1001-246x.8689

Abstract

Abstract:

The three-dimensional multi-relaxation (MRT) Shan-Chen Lattice Boltzmann method (LBM) is used to simulate the dynamic process of a droplet impacting small solid spheres with different wettability (The ratio of droplet diameter to small sphere diameter is greater than 1.) On the basis of verifying the accuracy of the calculation model by various methods, the influence of the Weber number of the droplet and the surface wettability of the small sphere on the dynamic process and the relationship of the geometry of the lamella formed with wettability are explored. The results show that the lamella formed after impacting the hydrophilic sphere is bell-shaped, When the surface wetting degree is constant, the maximum bottom diameter of the lamella increases with the increase of Weber number. When impacting the hydrophilic small sphere, the lamella completely closes after the formation of the lamella; the larger the Weber number, the earlier the lamella is completely closed, and the lamella is prone to break during the closing process. When impacting the hydrophobic small sphere, a larger Weber number leads to an earlier breakage of the lamella, and the broken lamellas fall down in a ring strip during the opening of the lamella. The geometric characteristics of the lamella are affected by the Weber number and wettability of the small sphere.

Key words: droplet impacting, small sphere, dynamic characteristics, wettability, 3D lattice Boltzmann method

CLC Number:

O359

Xiwen WANG, Xuemin YE, Dan LI, Chunxi LI. Three-dimensional Lattice Boltzmann Method Simulation of A Large Droplet Impacting A Small Sphere with Different Wettability[J]. Chinese Journal of Computational Physics, 2024, 41(2): 172-181.

Figures/Tables 12

Fig.1 Diagram of droplet impacting small sphere (a) initial moment; (b) impacting moment; (c) formation of lamella after the impact

Fig.2 (a)Verification for Laplace's law; (b) Relationship between interaction intensity and contact angle

Fig.3 Dynamic characteristics of simulation results and experimental results in Ref.[11]

Fig.4 Dynamic diagram of droplet impacting hydrophilic small sphere (a) We=87.01; (b) We=136.12; (c) We=196.01

Fig.5 Lamella closure process (a) the lamella begins to close; (b) the lamella begins to touch; (c) the lamella completely closed

Fig.6 The velocity field after the impacting of the droplet on the hydrophilic sphere

Fig.7 The effect of We on the evolution of lamella bottom diameter at droplet impacting hydrophilic small sphere

Fig.8 Dynamic diagram of droplet impacting hydrophobic small sphere (a) We=87.01; (b) We=136.12; (c) We=196.01

Fig.9 The velocity field after the impacting of droplet on the hydrophobic sphere

Fig.10 The effect of We on the evolution of lamella bottom diameter at droplet impacting hydrophobic small sphere

Fig.11 (a) Bottom diameter, (b) length, (c) cone angle at the time of lamella breakage and (d) coating rate with different surface wettability and We

Fig.12 Theoretical sheet thickness with simulation results

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