A multiphase three-dimensional multi-relaxation time (MRT) lattice Boltzmann model with surface tension adjustment

Journal Article · Tue Aug 15 04:00:00 EDT 2017 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2017.04.045· OSTI ID:22701585

Ammar, Sami; Pernaudat, Guillaume; Trépanier, Jean-Yves

The interdependence of surface tension and density ratio is a weakness of pseudo-potential based lattice Boltzmann models (LB). In this paper, we propose a 3D multi-relaxation time (MRT) model for multiphase flows at large density ratios. The proposed model is capable of adjusting the surface tension independently of the density ratio. We also present the 3D macroscopic equations recovered by the proposed forcing scheme. A high order of isotropy for the interaction force is used to reduce the amplitude of spurious currents. The proposed 3D-MRT model is validated by verifying Laplace's law and by analyzing its thermodynamic consistency and the oscillation period of a deformed droplet. The model is then applied to the simulation of the impact of a droplet on a dry surface. Impact dynamics are determined and the maximum spread factor calculated for different Reynolds and Weber numbers. The numerical results are in agreement with data published in the literature. The influence of surface wettability on the spread factor is also investigated. Finally, our 3D-MRT model is applied to the simulation of the impact of a droplet on a wet surface. The propagation of transverse waves is observed on the liquid surface.

• OSTI ID: 22701585
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 343; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DROPLETS
MULTIPHASE FLOW
REYNOLDS NUMBER
SIMULATION
SURFACE TENSION
THREE-DIMENSIONAL CALCULATIONS
THREE-DIMENSIONAL LATTICES