Abstract
The behavior of interfaces and contact lines arises from intermolecular interactions
like Van der Waals forces. To consider this multi–phase behavior on the continuum
scale, appropriate physical descriptions must be formulated. While the Continuum Surface
Force model is well–engineered for the description of interfaces, there is still a lack of
treatment of contact lines, which are represented by the intersection of a fluid–fluid interface
and a solid boundary surface. In our approach we use the “non compensated Young
force” to model contact line dynamics and therefore use an extension to the Navier–Stokes
equations in analogy to the extension of a two–phase interface in the CSF model. Because
particle–based descriptions are well–suited for changing and moving interfaces we
use Smoothed Particle Hydrodynamics. In this way we are not only able to calculate the
equilibrium state of a two–phase interface with a static contact angle, but also for instance
able to simulate droplet shapes and their dynamical evolution with corresponding
contact angles towards the equilibrium state, as well as different pore wetting behavior.
Together with the capability to model density differences, this approach has a high potential
to model recent challenges of two–phase transport in porous media. Especially with
respect to moving contact lines this is a novelty and indispensable for problems, where
the dynamic contact angle dominates the system behavior.
like Van der Waals forces. To consider this multi–phase behavior on the continuum
scale, appropriate physical descriptions must be formulated. While the Continuum Surface
Force model is well–engineered for the description of interfaces, there is still a lack of
treatment of contact lines, which are represented by the intersection of a fluid–fluid interface
and a solid boundary surface. In our approach we use the “non compensated Young
force” to model contact line dynamics and therefore use an extension to the Navier–Stokes
equations in analogy to the extension of a two–phase interface in the CSF model. Because
particle–based descriptions are well–suited for changing and moving interfaces we
use Smoothed Particle Hydrodynamics. In this way we are not only able to calculate the
equilibrium state of a two–phase interface with a static contact angle, but also for instance
able to simulate droplet shapes and their dynamical evolution with corresponding
contact angles towards the equilibrium state, as well as different pore wetting behavior.
Together with the capability to model density differences, this approach has a high potential
to model recent challenges of two–phase transport in porous media. Especially with
respect to moving contact lines this is a novelty and indispensable for problems, where
the dynamic contact angle dominates the system behavior.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the III International Conference on Particle-Based Methods - Fundamentals and Applications |
| Place of Publication | Stuttgart, Germany |
| Pages | 470-481 |
| Number of pages | 12 |
| Publication status | Published - 18 Sept 2013 |
Bibliographical note
3rd International Conference on Particle-Based Methods - Fundamentals and Applications, Particles 2013Keywords
- SPH
- surface tension
- dynamic contact angle
- moving contact line
- partial wetting