Wed February 25th 2015
16:00 – 17:00
Seminar Simulation of Selected Interfacial Dynamic Problems using & Interaction of a particle and a fluid-fluid interface
Hadi Mehrabian


Part 1:
Simulation of Selected Interfacial Dynamic Problems using
Cahn-Hilliard Diffuse-Interface Method

Using the Cahn-Hilliard diffuse-interface model, I have studied three interfacial dynamic problems for incompressible immiscible two-phase flows.
As the first problem, capillary instability of a liquid torus is computed. The main differences between the torus and a straight thread are the presence of an axial curvature and an external flow field caused by the retraction of the torus. We show that the capillary wave initially grows linearly as on a straight thread. The axial curvature decreases the growth rate of the capillary waves while the external flow enhances it. Breakup depends on the competition of two time scales: one for torus retraction and the other for neck pinch-off. The outcome is determined by the initial amplitude of the disturbance, the thickness of the torus relative to its circumference, and the viscosity ratio.
The second problem concerns interfacial dynamics and three-phase contact line motion of wicking through micropores of two types of geometries: axisymmetric tubes with contractions and expansions of the cross section, and two-dimensional planar channels with a Y-shaped bifurcation. Results show that the liquid meniscus undergoes complex deformation during its passage through contraction and expansion. Pinning of the interface at protruding corners limits the angle of expansion into which wicking is allowed. Capillary competition between branches downstream of a Y-shaped bifurcation may result in arrest of wicking in the wider branch.
As the third problem, auto-ejection of drops from capillary tubes is studied. This study focuses on two related issues: the critical condition for auto-ejection, and the role of geometric parameters in the hydrodynamics. From analyzing the dynamics of the meniscus in the straight tube and the nozzle, we develop a criterion for the onset of auto-ejection based on a Weber number defined at the exit of the nozzle and an effective length that encompasses the geometric features of the tube-nozzle combination. In particular, this criterion shows that ejection is not possible in straight tubes. With steeper contraction in the nozzle, we predict two additional regimes of interfacial rupture: rapid ejection of multiple droplets and air bubble entrapment.

Part 2:
Interaction of a particle and a fluid-fluid interface
Particles added to an interface can be used as the surface stabilizer in the food and cosmetic industries. Gels are a class of soft colloidal particles whose elasticity and interfacial tension are important for their adsorption at an interface. The aim of this project is to calculate the shape of such a particle at a fluid-fluid interface using the molecular dynamic simulation. As the first step, it is assumed that the particle is two-dimensional. It is also assumed that its shape can be characterized using the linear elasticity framework which means that the particle is in the small deformation regime. The corresponding molecular dynamics setup is made and the results are compared with the theoretical model.
Go back to the agenda.

The 10th Complex Motion in Fluids 2021
Max Planck Gesellschaft
Centre for Scientific Computing