Effects of Condensation and Radiation on Turbulent Flows- Mathematics - EPSRC DTP funded PhD Studentship Ref: 2948

About the award

This project is one of a number funded by the Engineering and Physical Sciences Research Council (EPSRC) Doctoral Training Partnership to commence in September 2018. This project is in direct competition with others for funding; the projects which receive the best applicants will be awarded the funding.

The studentships will provide funding for a stipend which is currently £14,553 per annum for 2017-2018. It will provide research costs and UK/EU tuition fees at Research Council UK rates for 42 months (3.5 years) for full-time students, pro rata for part-time students.

Please note that of the total number of projects within the competition, up to 15 studentships will be filled.

Prof. Geoffrey Vallis
Prof. John Thuburn

Streatham Campus, Exeter

Project Description
Turbulence is ubiquitous in fluid dynamics, and it is the rule rather than the exception in convecting flow. Many previous investigations of turbulent flows are highly idealised, looking at the pure fluid dynamical problem in a very simple setting, such as pipe flow. However, in many problems of interest in the real world the turbulence is driven by radiative heating and enhanced by the effects of condensation. Examples occur in the natural world in stellar interiors and in planetary atmospheres, as well as in engineering problems involving complex fluids with phase changes.

In this project we will explore the behaviour of phase changes in a turbulent flow maintained by radiative forcing. A classic problem in fluid dynamics is Rayleigh-Benard convection, which is fluid flow between a hot and a cold plate. This problem provides the foundation of many studies in science and engineering, but in fact hardly ever occurs in nature. This project will begin by exploring how this problem is affected by radiative-transfer and condensation, using both numerical simulations and analytic calculations. The research will then evolve either toward applications in the natural world, or toward engineering applications, depending on results and interests.

The project will use cutting edge numerical methods in conjunction with analytical techniques to bridge the gap between theory and application, and thus will  provide training in both numerical and theoretical methods that will be useful far beyond this particular problem.

Entry Requirements
This project provides PhD funding for 3.5 years, and will suit a student with a background in mathematics, physics or engineering who is interested in mathematical modelling and in particular in applying fundamental ideas to real-world problems.

The majority of the studentships are available for applicants who are ordinarily resident in the UK and are classed as UK/EU for tuition fee purposes.  If you have not resided in the UK for at least 3 years prior to the start of the studentship, you are not eligible for a maintenance allowance so you would need an alternative source of funding for living costs. To be eligible for fees-only funding you must be ordinarily resident in a member state of the EU.  For information on EPSRC residency criteria click here.

Applicants who are classed as International for tuition fee purposes are NOT eligible for funding. International students interested in studying at the University of Exeter should search our funding database for alternative options.


Application deadline:10th January 2018
Value:3.5 year studentship: UK/EU tuition fees and an annual maintenance allowance at current Research Council rate. Current rate of £14,553 per year.
Duration of award:per year
Contact: Doctoral Collegepgrenquiries@exeter.ac.uk

How to apply

You will be required to upload the following documents:
•       CV
•       Letter of application outlining your academic interests, prior research experience and reasons for wishing to
        undertake the project.
•       Transcript(s) giving full details of subjects studied and grades/marks obtained.  This should be an interim
        transcript if you are still studying.
•       If you are not a national of a majority English-speaking country you will need to submit evidence of your current
        proficiency in English.  For further details of the University’s English language requirements please see

The closing date for applications is midnight (GMT) on Wednesday 10 January 2018.  Interviews will be held at the University of Exeter in late February 2018.

If you have any general enquiries about the application process please email: pgrenquiries@exeter.ac.uk.
Project-specific queries should be directed to the supervisor.

During the application process, the University may need to make certain disclosures of your personal data to third parties to be able to administer your application, carry out interviews and select candidates.  These are not limited to, but may include disclosures to:

• the selection panel and/or management board or equivalent of the relevant programme, which is likely to include staff from one or more other HEIs;
• administrative staff at one or more other HEIs participating in the relevant programme.

Such disclosures will always be kept to the minimum amount of personal data required for the specific purpose. Your sensitive personal data (relating to disability and race/ethnicity) will not be disclosed without your explicit consent.