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Industrial CASE PhD Studentship in Mathematical Sciences

Industrial CASE PhD Studentship in Mathematical Sciences at University College London, funded by EPSRC and Schlumberger Cambridge Research

“Pushing the limits of generalized Newtonian fluid constitutive equations”

UCL Department / Division: Mathematics
Location of position: London
Duration of Studentship: 4 years
Stipend: Approximately £20,983 per annum

Vacancy Information

Applications are invited for an industrial CASE PhD Studentship in Mathematical Sciences funded by the EPSRC in partnership with Schlumberger Cambridge Research (SCR). The studentship will be based in the Department of Mathematics at UCL and will supervised by Dr Duncan Hewitt (UCL) and Dr Mahdi Davoodi (SCR).

Highly complex non-Newtonian fluid behaviour plays a role in numerous industrial settings. Accurately capturing this behaviour can be extremely challenging. This PhD project aims to explore the ways in which a relatively simple ‘generalised Newtonian’ framework can be used to capture complex rheological behaviour, including so-called ‘normal stress differences’, that is more commonly associated with elaborate visco-elastic, frame-invariant constructions. In particular, the project will explore and analyse the way in which an anisotropic viscosity tensor can be used to capture some of this behaviour. The project will involve analytical and numerical work and includes the opportunity for a placement with the industrial partner SCR. Interested applicants are encouraged to contact the primary supervisor Dr Duncan Hewitt (d.hewitt@ucl.ac.uk) to discuss this project further.

Studentship Description

The studentships include tuition fees at the Home rate, a stipend of approximately £20,983 per annum, which includes a £2000 per annum industry-provided supplement above the usual EPSRC stipend, and an allowance to support research and training costs, which is also enhanced by industrial funds. Stipends will be set by the UKRI standard rate which will be confirmed later in 2022. The studentships will be tenable for four years. The student will have the opportunity during the PhD to spend some time on a placement at SCR in Cambridge, with travel expenses covered.

Person Specification

Applicants should possess a good honours degree (1st Class) in Mathematics, Engineering or Physics, or an equivalent qualification from other countries. Some background knowledge of fluid mechanics and non-Newtonian mechanics would be helpful, but not essential.

Application Process

Apply for the PhD programme in Mathematical Sciences at UCL, by completing the UCL Postgraduate Application on-line form available at: https://www.ucl.ac.uk/prospective-students/graduate/apply
Send an email to Dr Duncan Hewitt (d.hewitt@ucl.ac.uk) to inform us that you wish to be considered for PhD ICASE funding.
Please also fill in the EDI form once you have submitted your application (this is for monitoring purposes only and will not affect your application): https://forms.office.com/r/0UJ5HvAXrF
Questions about this project should be addressed to the primary supervisor Dr Hewitt (d.hewitt@ucl.ac.uk) in the first instance.
General questions about PhD admissions can be addressed to the Graduate admissions tutor for Applied Mathematics, Dr Christian Boehmer (c.boehmer@ucl.ac.uk)

Closing Date:  20th July 2022
Studentship Start Date: September 2022