PhD Studentship: Mathematical Modelling and Passive Control of Droplets on Surfaces

Loughborough University

Start date of studentship: 1st October 2018

Closing date for applications: 16th February 2018


Primary supervisor: Dr David Sibley

Secondary supervisor: Prof Andrew Archer

You will work in the Mathematical Modelling research group where Dr Sibley and many others work on a variety of related projects in renewable energy and wetting properties of surfaces, funded from a range of sources and with links to industrial partners. Collaboration with others, especially from other disciplines, will be encouraged.

Loughborough University is a top-ten rated university in England for research intensity (REF2014). In choosing Loughborough for your research, you’ll work alongside academics who are leaders in their field. You will benefit from comprehensive support and guidance from our Doctoral College, including tailored careers advice, to help you succeed in your research and future career.

Find out more:

The Department of Mathematical Sciences is part of the School of Science at Loughborough. The Department has attracted staff and students from all over the world, making it a diverse and stimulating environment in which to study. Active in high quality research across the broad spectrum of mathematics, the Department has an international reputation, with four fifths of research rated internationally leading or better in REF 2014.  Further information about the Department can be found here:, and about the School here:

Full Project Detail:

Situations arise throughout nature and industry where fluid droplets interact with surfaces, from rain on leaves, waterproof clothing or solar panels to inkjet printing. Manufactured surfaces can be designed to have certain wetting properties, effectively how much the surfaces like to attract or repel fluids, through either the actual material or the texturing of the surface. To design these features requires an understanding of the surface and its interactions with the fluids on them at very small scales, but they ultimately can determine or control the behaviour of whole droplets or systems of droplets at large, macroscopic, scales. This project will develop both the theory of the mathematical models used to understand the motion of droplets and simulation techniques to explore the resulting behaviours.

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Entry requirements:

Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Mathematical Sciences or a related subject. A relevant Master’s degree and/or experience in one or more of the following will be an advantage: Industrial mathematical modelling, solution of partial differential equations, numerical techniques.

Funding information:

This studentship will be awarded on a competitive basis to applicants who have applied to this project and/or any of the advertised projects prioritised for funding by the School of Science.

The 3-year studentship provides a tax-free stipend of £14,553 (2017 rate) per annum (in line with the standard research council rates) for the duration of the studentship plus tuition fees at the UK/EU rate. International (non-EU) students may apply however the total value of the studentship will be used towards the cost of the International tuition fee in the first instance.

Contact details:

Name: David Sibley

Email address:

Telephone number: +44 (0)1509 228127

How to apply:

All applications should be made online at Under programme name, select Mathematical Sciences.

Please quote reference number: DS/MA/2018

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Midlands of England