Refining our Understanding of Small-scale Turbulence Dynamics PhD

3 years
6 years
Start date
1 January 2020
Application deadline
Reference number
UK / EU fee
International fee


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%.

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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

Improved modelling methods for fluid flows require a better understanding of how turbulent, Newtonian fluids such as water or air dissipate energy. This project focuses on the topologies associated with these dissipative events. In terms of the velocity gradient tensor, it can be readily shown that relevant complexities result from the nonlocality intrinsic to the Navier-Stokes equations.

We have recently proposed a new way forward in this respect, with new terms derived for the dynamics represented by these nonlocal processes (Keylock, 2018). The aim of this project is to continue this analysis using both mathematical and numerical methods in order to propose new ways forward for model closure schemes. Placing confidence on the results using statistical methods (Keylock, 2017) may also form a significant component of the project.

Keylock, C.J. 2017. Synthetic velocity gradient tensors and the identification of significant aspects of the structure of turbulence, Physical Review Fluids 2, 8, 084607.

Keylock, C.J. 2018. The Schur decomposition of the velocity gradient tensor for turbulent flows, Journal of Fluid Mechanics 848, 876-904, 10.1017/jfm.2018.344.

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Primary supervisor: Professor Chris Keylock

Secondary supervisor: Dr Tim Marjoribanks

Why you should choose us

Entry requirements

Our entry requirements are listed using standard UK undergraduate degree classifications i.e. first-class honours, upper second-class honours and lower second-class honours. To learn the equivalent for your country, please choose it from the dropdown below.

Entry requirements for United Kingdom

Applicants should have, or expect to achieve, a first class honours degree (or equivalent international qualification) in mathematics, physics, aeronautics or a related field.

A relevant master's degree and/or experience in one or more of the following will be an advantage:

  • computer programming
  • computational fluid dynamics
  • linear algebra
  • time-series analysis (wavelets and Fourier methods).

English language requirements

Fees and funding

UK / EU fee

Full-time degree per annum

International fee

Full-time degree per annum

Starting your studies in the 2018/19 academic year?

If your start date is October 2018, January 2019, or April 2019 your tuition fees for this academic year will be at the 2018/19 rates.

How to apply

All applications should be made online, under programme name select 'School of Architecture, Building and Civil Engineering'. Please quote reference number: ABCE19/CK1

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