Professor Stephen Wilson

Mathematics and Statistics

Personal statement

I have made contributions to the mathematical modelling and analysis of a wide range of problems in fluid mechanics, including thin-film flows, evaporating droplets, rivulets and dry-patches, dielectrophoresis, microfluidics, liquid crystals, non-Newtonian fluids (including viscoplastic fluids, thixotropic fluids and nanofluids), anti-surfactants and self-rewetting fluids, fluid-structure interaction problems, biomechanics, nucleate boiling, confined bubbles, thermocapillary (Marangoni) and thermoviscosity effects, spin coating, magnetohydrodynamics, and fluid impact problems.

The common theme running through all of my work is the use of a range of mathematical (namely asymptotic, analytical and numerical) methods to bring new insights into a wide range of "real world" problems ranging from boiling and evaporation through industrial coating processes to biological systems such as the human knee.

Publications

Electro-manipulation of droplets for microfluidic applications
Corson L T, Tsakonas C, Duffy B R, Mottram N J, Brown C V, Wilson S K
Progress in Industrial Mathematics at ECMI 2014 ECMI 2014 - European Consortium for Mathematics in Industry Mathematics in Industry Vol 22, pp. 1073-1080 (2017)
https://doi.org/10.1007/978-3-319-23413-7
Flow of a thixotropic or antithixotropic fluid in a slowly varying channel : the weakly advective regime
Pritchard David, Wilson Stephen K, McArdle Catriona R
Journal of Non-Newtonian Fluid Mechanics Vol 238, pp. 140-157 (2016)
https://doi.org/10.1016/j.jnnfm.2016.07.009
Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field
Corson L T, Mottram N J, Duffy B R, Wilson S K, Tsakonas C, Brown C V
Physical Review E Vol 94 (2016)
https://doi.org/10.1103/PhysRevE.94.043112
Fluid-dynamical model for antisurfactants
Conn Justin J A, Duffy Brian R, Pritchard David, Wilson Stephen K, Halling Peter J, Sefiane Khellil
Physical Review E Vol 93 (2016)
https://doi.org/10.1103/PhysRevE.93.043121
On the lifetimes of evaporating droplets with related initial and receding contact angles
Stauber Jutta M, Wilson Stephen K, Duffy Brian R, Sefiane Khellil
Physics of Fluids Vol 27 (2015)
https://doi.org/10.1063/1.4935232
Shallow flows of generalised Newtonian fluids on an inclined plane
Pritchard David, Duffy Brian R, Wilson Stephen K
Journal of Engineering Mathematics Vol 94, pp. 115-133 (2015)
https://doi.org/10.1007/s10665-014-9725-2

more publications

Professional activities

BIRS Workshop on Modelling of Thin Liquid Films - Asymptotic Approach vs. Gradient Dynamics
Speaker
28/4/2019
BIRS Workshop on Mathematical Criminology and Security
Speaker
17/3/2019
Lorentz Center Workshop on Micro- and Nano-Fluidics: Fundamentals and Applications
Speaker
12/11/2018
12th European Fluid Mechanics Conference (EFMC12)
Speaker
9/9/2018
3rd UK Fluids Conference 2018
Speaker
4/9/2018
European Commission - FP7 - European Research Council (External organisation)
Advisor
9/2018

more professional activities

Projects

Control of free-surface flow morphologies in anisotropic liquids
Mottram, Nigel (Principal Investigator) Wilson, Stephen (Co-investigator)
01-Jan-2019 - 31-Jan-2023
Low-order models for thick fluid flows with multiphysics effects
Wray, Alexander (Principal Investigator) Wilson, Stephen (Co-investigator)
01-Jan-2019 - 30-Jan-2022
University of Strathclyde NPIF 2018 (NPIF EPSRC Doctoral) | Mitchell, Andrew James
Wilson, Stephen (Principal Investigator) Duffy, Brian (Co-investigator) Mitchell, Andrew James (Research Co-investigator)
01-Jan-2018 - 01-Jan-2022
Theoretical Analysis of Droplet Evaporation
Wilson, Stephen (Principal Investigator)
01-Jan-2017 - 30-Jan-2021
MATHEMATICAL MODELLING AND ANALYSIS OF SELF-REWETTING FLUIDS IN HEAT PIPES
Wilson, Stephen (Principal Investigator)
18-Jan-2017 - 17-Jan-2018
Mathematical criminology and crime science
Ramage, Alison (Principal Investigator) Wilson, Stephen (Co-investigator)
Workshop at ICMS, Edinburgh
01-Jan-2017

more projects

Address

Mathematics and Statistics
Livingstone Tower

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