This thesis aims to investigate the transport processes in the electrolyte and the reaction kinetics at the electrode surface using numerical simulations in OpenFOAM. The influence of different electrode structures, reaction kinetics, species concentrations, and electrolyte properties will be systematically analysed with respect to concentration profiles, conversion rates, and reaction selectivity. In addition, the influence of a superimposed convective flow on transport and reaction behaviour will be examined.

This thesis aims to investigate the dynamic wetting behaviour of coated electrode structures using numerical simulations in OpenFOAM. The influence of different surface coatings, gauze geometries, and wetting properties on interface formation and stability will be analysed. To this end, provided CT scan data of differently coated gauzes will be processed into computational domains and numerical meshes for efficient simulations.

Inertial-confinement fusion (ICF) is a promising technology for sustainable power generation, using lasers to trigger fusion in small, spherical targets consisting of a shell and a fuel-filled core. For the implosion to be efficient, the targets must be almost perfect spheres with a homogeneous shell thickness. A promising manufacturing approach employes microfluidic chips to produce double-emulsion droplets with curable shells.

But before curing, each droplet must be inspected for sphericity and concentricity so that production can be scaled up economically. Optical-coherence tomography (OCT) is well suited for this inspection, as it can image internal interfaces through transparent, layered materials. However, the curved droplet surfaces bend the light, which systematically distorts the OCT image and makes direct dimensional measurements unreliable.

The aim of this thesis is to develop a refraction-correction model. The correction is formulated as an inverse problem: from a measured OCT image we wish to recover the true droplet geometry.