Numerical modeling of the dynamics of a viscous-fluid droplet |
| |
Authors: | L. B. Direktor I. L. Maikov |
| |
Affiliation: | (1) Darmstadt University of Technology, Petersenstra?e 30, 64287 Darmstadt, Germany;(2) Department of Mathematics, Southern Methodist University, Dallas, TX 75275-0156, USA; |
| |
Abstract: | A numerical model developed on the basis of the level set method is proposed. This makes it possible to describe both the nonlinear oscillations of a single viscous-fluid droplet and the fragmentation and coalescence processes. The Navier-Stokes equations written in “velocity-pressure” variables on a rectangular uniform grid in cylindrical coordinates are solved using the method of splitting into physical processes. Non-oscillating solutions for two-phase media with a characteristic density ratio of less than 10−3 and Re > 1000 are obtained. The possibilities of the approach proposed are demonstrated with the reference to the problem of a droplet falling from a capillary (detachment from the capillary, formation of a “Plato ball”, droplet motion, collision with a plane wall, droplet oscillations on the wall, and droplet spreading). A comparison of the numerical results with the known calculation models and experimental data shows satisfactory agreement with respect to both the phases and the shape of the droplet. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|