Surface PDE

Surfactant transport on interfaces

The distribution of so-called surface active agents, or surfactants, strongly influences interfacial properties such as the surface tension. Here, we present simulation results for convection and diffusion processes on an interface, i.e. on a two-dimensional surface within three-dimensional flow.

Surface diffusion

by: Dr.-Ing. Christina Kallendorf

Source: See below
Source: See below

On the right, the simulation results for the diffusion process of a surfactant concentration is shown. Here, the surfactants adhere to a surface that is given by an iso-contour of the called Enzensberger star.

Kallendorf, Christina (2017):
An Eulerian discontinuous Galerkin method for the numerical simulation of interfactial transport.
Göttingen, Cuvillier Verlag, TU Darmstadt, ISBN 978-3-7369-9488-1,
[Dissertation]

go to TU-biblio search on ULB website

Convective transport in Stokes flow

by: Dr.-Ing. Christina Kallendorf

Source: See below
Source: See below

Considering Stokes flow around a spherical bubble, we study the evolution of the distribution of surfactants due convection on the surface. Clearly, the surfactants accumulate on the downstream-side of the sphere, thus altering the physical properties of the interface in this region.

Kallendorf, Christina (2017):
An Eulerian discontinuous Galerkin method for the numerical simulation of interfactial transport.
Göttingen, Cuvillier Verlag, TU Darmstadt, ISBN 978-3-7369-9488-1,
[Dissertation]

go to TU-biblio search on ULB website