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

Squeezing a drop of nematic liquid crystal with strong elasticity effects
Cousins J R L, Wilson S K, Mottram N J, Wilkes D, Weegels L
Physics of Fluids Vol 31 (2019)
https://doi.org/10.1063/1.5110878
Unsteady motion of a long bubble or droplet in a self-rewetting system
Duffy B R, Wilson S K, Conn J J A, Sefiane K
Physical Review Fluids Vol 3 (2018)
https://doi.org/10.1103/PhysRevFluids.3.123603
A model for the formation of mura during the One-Drop-Filling process
Cousins Joseph R L, Wilson Stephen K, Mottram Nigel J, Wilkes David, Weegels Leo, Lin KY
25th International Display Workshop 2018, pp. LCT8-4 (2018)
The lifetimes of evaporating sessile droplets are significantly extended by strong thermal effects
Schofield F G H, Wilson S K, Pritchard D, Sefiane K
Journal of Fluid Mechanics Vol 851, pp. 231-244 (2018)
https://doi.org/10.1017/jfm.2018.496
Rivulet flow of generalized Newtonian fluids
Al Mukahal F H H, Duffy B R, Wilson S K
Physical Review Fluids Vol 3 (2018)
https://doi.org/10.1103/PhysRevFluids.3.083302
Preface to the special issue celebrating 50 years of the Journal of Engineering Mathematics
Matar Omar K, Wilson Stephen K
Journal of Engineering Mathematics Vol 107, pp. 1-4 (2017)
https://doi.org/10.1007/s10665-017-9945-3

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

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
Mathematical Modelling and Analysis of Industrially-Important Flows of Liquid Crystals: Spreading and Channel Filling
Wilson, Stephen (Principal Investigator) Mottram, Nigel (Co-investigator)
01-Jan-2016 - 30-Jan-2020

more projects

Address

Mathematics and Statistics
Livingstone Tower

Location Map

View University of Strathclyde in a larger map