HanyuYin_Thesis.pdf (4.99 MB)

Mathematical modelling of droplets and bubbles on surfaces

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thesis
posted on 19.06.2020, 15:21 by Han Yin
In this thesis we focus on calculating the shape of small bubbles and droplets near surfaces, in regimes where intermolecular forces are significant. In the first part of this thesis we focus on vapour nanobubbles where we use classical density functional theory (DFT) to determine the interfacial free energy (the binding potential) of simple model fluids in contact with a planar surface. This is done by calculating sequences of constrained density profiles for varying amounts of vapour adsorbed between the wall and the bulk liquid. This allows us to determine multi-scale properties of fluids at interfaces, and thereby determine the structure and the thermodynamics of vapour adsorption at solvophobic interfaces and how these depend on the microscopic properties of the fluid. We then use the binding potentials obtained as an input to the interfacial Hamiltonian (IH) model and study the properties of vapour nanobubbles at equilibrium. [Continues.]

History

School

  • Science

Department

  • Mathematical Sciences

Publisher

Loughborough University

Rights holder

© Hanyu Yin

Publication date

2019

Notes

A doctoral thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.

Language

en

Supervisor(s)

Andrew Archer ; David Sibley

Qualification name

PhD

Qualification level

Doctoral

This submission includes a signed certificate in addition to the thesis file(s)

I have submitted a signed certificate

Exports