Numerical simulation of dynamic behavior of droplet on solid surface by the two-phase lattice Boltzmann method

Abstract

The dynamic behavior of a droplet on a solid surface is simulated by the lattice Boltzmann method (LBM) for two-phase fluids with large density differences; the wetting boundary condition on solid walls is incorporated in this simulation. By using the method, the dynamic behavior of a droplet impinging on a horizontal wall is investigated in terms of various Weber numbers. The dynamic contact angle, the contact line velocity, and the wet length are calculated, and found to be in good agreement with available experimental data. In addition, the method is applied to simulations of the collision of a falling droplet with a stationary droplet on a solid surface. The * Corresponding author. Tel.:+81 26 269 5116; fax:+81 26 269 5116.Email address: masato@shinshu-u.ac.jp (M. Yoshino) 1 Present address: Seiko Epson Corporation, Suwa-shi, Nagano 392-8502, Japan.

Wettability Model Considering Three-Phase Interfacial Energetics in Particle Method

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A numerical study on the dynamic behavior of the liquid droplet located on heterogeneous surface

“…And Fujimoto et al [9], and Manservisi and Scardovelli [10] conducted numerical studies on the dynamic behavior of a droplet colliding with a solid surface. Tanaka et al [11] and Lunkad et al [12] conducted numerical studies on the kinetic characteristics of a droplet moving on a slanted solid surface or on a solid surface to which a force was applied, and compared the result of the numerical analyses with the experimental result of Sikalo et al [13].…”

Dynamics of falling droplets impact on a liquid film: Hybrid lattice Boltzmann simulation

“…Roisman et al [13] experimentally and theoretically studied the impact of multiple droplets onto a dry substrate by considering the effects of surface tension, wettability, viscosity, gravity and inertia. Tanaka et al [14] performed two-dimensional numerical simulations of collision dynamics of an impacting droplet with a stationary droplet on a solid surface by using a two-phase LBM. The mixing behavior occurs around the rim of the coalescent droplet due to the circular flows.…”

“…To perform numerical investigations on the corresponding dynamic behaviors, a hybrid method is employed. To solve the flow field, a phasefield-based incompressible LBM [20] is used, which is different from previous work [8,14,19]. In addition, to capture the interface between the droplet or liquid film and the ambient fluid, the Cahn-Hilliard equation in the phase-field framework is directly solved [21].…”