Mathematical modelling and passive control of droplets on surfaces PhD

Mathematical Sciences
Entry requirements:
3 years
not available
Reference number:
Start date:
01 October 2018
Is funding available?
UK/EU fees:
International fees:
Application deadline:
16 February 2018



of research classed as 'internationally recognised'

REF 2014


in the UK for Mathematics

The Complete University Guide 2018


Loughborough University is a top-ten rated university in England for research intensity (REF2014) and an outstanding 66% of the work of Loughborough’s academic staff who were eligible to be submitted to the REF was judged as ‘world-leading’ or ‘internationally excellent’, compared to a national average figure of 43%.

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. 

Project detail

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.

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.


Primary supervisor: Dr David Sibley

Secondary supervisor: Prof Andrew Archer

Find out more

For further project details email Dr David Sibley or register your interest and ask us a question.

To find out more about postgraduate research in the School of Science please visit our website.

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.

Applicants must meet the minimum English Language requirements, details available on the website.

Fees and funding


Tuition fees cover the cost of your teaching, assessment and operating University facilities such as the library, IT equipment and other support services. University fees and charges can be paid in advance and there are several methods of payment, including online payments and payment by instalment. Special arrangements are made for payments by part-time students.

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.

How to apply

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

Please quote reference number: DS/MA/2018

Application details

Reference number:  DS/MA/2018
Start date: 01 October 2018
Application deadline: 16 February 2018