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Electrohydrodynamics of Droplet Pairs

Department of Mathematics & Statistics

Glasgow United Kingdom Applied Mathematics Chemical Engineering Engineering Mathematics Mathematical Modelling Mechanical Engineering Mechanics

About the Project

Mathematics and statistics are at the heart of all scientific and engineering disciplines. Strathclyde has a strong international reputation in the use of mathematical modelling and analysis to solve many problems relevant to industry, business and wider society. The department's research interests are in Applied Analysis, Continuum Mechanics & Industrial Mathematics (CMIM), Numerical Analysis & Scientific Computing, Population Modelling & Epidemiology, and Stochastic Analysis.

A large number of faculty members in the CMIM group are interested in problems related to fluid mechanics. The study of droplet electrohydrodynamics is a classic fluid mechanical problem, pioneered by G. I. Taylor and has continued to intrigue scientists to the present day. The proposed research project will further the field of droplet EHD by studying the dynamics of a pair of interacting droplets in an electric field. Some articles relevant to the project can be found in the references below. The student will be jointly supervised by Dr Debasish Das and Prof Stephen Wilson. Visit the webpages below for more details.

Qualifications: A bachelors degree (upper second class honours or higher) in Mathematics or a related subject like Mechanical, Chemical Engineering or Physics is required. Applicant should have taken at least one undergraduate course on Fluid Mechanics (any advanced Fluid Mechanics course is highly desirable). Some experience in basic coding in any programming language is a plus.

Studentship details: The studentship covers home fees and stipend (UKRI minimum level - currently £15,609 for 21/22). All candidates are eligible, but international candidates would need to pay the fees difference between Home and Overseas rates. The duration of PhD is 36 months (extendable depending on availability of extra funds). Apply by March 14th, 2021 for full consideration.

Application: Visit the webpage below to apply and make sure to mention the title of the project and name of supervisors listed above.

Funding Notes

View Website
"The Research Excellence Awards are specific PhD projects that support the University’s strategic research ambitions. Under the Strathclyde Research Studentship scheme the University awards around 70 PhD studentships annually for students commencing their postgraduate studies. The funds are split between Research Excellence Awards, Student Excellence Awards and John Anderson Research Awards. Students successful in the 2021/2022 competition will commence studies in October 2021."


1) D. Das and D. Saintillan, "Electrohydrodynamics of viscous drops in strong electric fields: Numerical simulations", Journal of Fluid Mechanics 829, 127-152 (2017).
2) D. Das and D. Saintillan, "A nonlinear small-deformation theory for transient droplet electrohydrodynamics", Journal of Fluid Mechanics 810, 225-253 (2017).
3) A. Bricard, J.-B. Caussin, D. Das, C. Savoie, V. Chikkadi, K. Shitara, O. Chepizhko, F. Peruani, D. Saintillan, D. Bartolo, "Emergent vortices in populations of colloidal rollers", Nature Communications 6, 7470 (2015).
4) L. T. Corson, C. Tsakonas, B. R. Duffy, N. J. Mottram, I. C. Sage, C. V. Brown, & S. K. Wilson, "Deformation of a nearly hemispherical conducting drop due to an electric field: Theory and experiment". Physics of Fluids, 26, 122106 (2014).
5) D. Das and D. Saintillan, "Electrohydrodynamic interaction of spherical particles under Quincke rotation", Physical Review E 87, 043014 (2013).

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