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Evolution of the size distribution of oil droplets on a water surface: Setup, image processing, and scaling laws


de Maeyer,  Jakob
Group Principles of Self Organisation, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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de Maeyer, J. (2015). Evolution of the size distribution of oil droplets on a water surface: Setup, image processing, and scaling laws. Master Thesis, Georg-August-Universität, Göttingen.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-C311-4
In this thesis, I describe my work towards a novel experiment to study
the dynamics of oil droplets on water. It allows following the evolution
of the droplet size distribution during a coalescence process with
superb statistics. Every experiment run involves more than 20,000 initial
droplets coalescing into a few hundred within four to six hours,
with droplet sizes ranging from 0.01 cm2 to 1,000 cm2.
Data acquisition is built around an LED light source and a shadow
image method that exploits the oil droplets’ optical properties. Images
of the droplet configuration are taken with a consumer-level
DSLR camera and processed with circle detection and morphological
methods. I have developed two open-source software frameworks:
one facilitates camera remote control at higher frame rates than available
in existing software solutions, the other one simplifies the task
of batch image processing.
The coalescing oil droplets reveal an uncommon characteristic: As
the system evolves, the distribution of droplet sizes becomes bimodal.
By dividing the droplets into a group of small and a group of large
droplets, we are able to identify three regimes in the coalescence process.
We introduce a mathematical model in which the distribution
decomposes into a superposition of a steady distribution of small
droplets and a scaling distribution of larger droplets.