Journal
APPLIED MATHEMATICAL MODELLING
Volume 49, Issue -, Pages 199-219Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2017.05.006
Keywords
Nanobubbles; Stability; Free boundary problem; Coupled ODE-PDE problem; Hydrogen electrolysis; Dynamic equilibrium
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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. (C) 2017 Elsevier Inc. All rights reserved.
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