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Prof 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.


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, (2018)
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)
Simple waves and shocks in a thin film of a perfectly soluble antisurfactant solution
Conn J. J. A., Duffy B. R., Pritchard D., Wilson S. K., Sefiane K.
Journal of Engineering Mathematics Vol 107, pp. 167-178, (2017)
Advection and Taylor-Aris dispersion in rivulet flow
Al Mukahal F. H. H., Duffy B. R., Wilson S. K.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Vol 473, (2017)
Electro-manipulation of droplets for microfluidic applications
Corson Lindsey, Tsakonas Costas, Duffy Brian, Mottram Nigel, Brown Carl, Wilson Stephen
The European Consortium for Mathematics in IndustryMathematics in Industry Vol 22, pp. 1073-1080, (2017)
Preface to the inaugural "Perspectives" article entitled "The importance of being thin" by Stephen H. Davis
Matar Omar K., Wilson Stephen K.
Journal of Engineering Mathematics Vol 105, pp. 1-2, (2017)

more publications

Professional activities

Royal Society (External organisation)
12th European Coating Symposium 2017
Workshop on Droplet Coalescence
2nd UK Fluids Conference 2017
15th UK National Heat Transfer Conference 2017
2nd International Conference on Interfacial Phenomena and Heat Transfer
Keynote/plenary speaker

more professional activities


Doctoral Training Partnership (DTP 2016-2017 University of Strathclyde) | Schofield, Feargus
Wilson, Stephen (Principal Investigator) Pritchard, David (Co-investigator) Schofield, Feargus (Research Co-investigator)
Period 01-Oct-2016 - 01-Oct-2019
EPSRC Institutional Sponsorship: Global Challenges Research Fund (GCRF) / R160677-114
Pritchard, David (Principal Investigator) Corson, Stephen (Co-investigator) Mottram, Nigel (Co-investigator) Wilson, Stephen (Co-investigator)
Period 01-Jun-2016 - 31-Mar-2017
Wilson, Stephen (Principal Investigator)
Period 18-Sep-2017 - 17-Apr-2018
Industrial Case Account 2016 | Cousins, Joseph
Wilson, Stephen (Principal Investigator) Mottram, Nigel (Co-investigator) Cousins, Joseph (Research Co-investigator)
Period 01-Oct-2016 - 01-Oct-2020
Mathematical Modelling and Analysis of Industrially-Important Flows of Liquid Crystals: Spreading and Channel Filling
Wilson, Stephen (Principal Investigator) Mottram, Nigel (Co-investigator)
Period 01-Oct-2016 - 30-Sep-2020
An EPSRC Life Sciences Interface Doctoral Training Centre for Medical Devices | Herbert, Anthony Gerard
Black, Richard (Principal Investigator) Wilson, Stephen (Co-investigator)
Period 01-Nov-2007 - 12-May-2013

more projects


Mathematics and Statistics
Livingstone Tower

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