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Matthias Gerdts, Stefan Horn, Sven-Joachim Kimmerle, |
Abstract:
In recent years, the stability and lifetime of nanobubbles have raised new scientific questions as experimental techniques for nanobubble generation and measurements have advanced. In this contribution, we present a physical model for bulk nanobubbles and simulate their dissolution numerically using a rigorous treatment of the underlying governing equations. Additionally, we simulate surface nanobubbles with small contact angles replenished through hydrogen electrolysis at a platinum electrode, and discuss the relation between the mass transfer coefficient at the bubble surface and the supplied hydrogen flux at steady-state.
Reference:
- Gerdts, M., Horn, S., Kimmerle, S.-J.: Line Search Globalization of a Semismooth Newton Method for Operator Equations in Hilbert Spaces with Applications in Optimal Control, J. Ind. Manag. Optim. 13(1) (2017), 47-62, DOI: dx.doi.org/10.3934/jimo.2016003.