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Stability of fluid flows over deformed and moving surfaces

  • Full or part time
  • Application Deadline
    Friday, March 15, 2019
  • Competition Funded PhD Project (European/UK Students Only)
    Competition Funded PhD Project (European/UK Students Only)

Project Description

The project will use a mixture of mathematical analysis and novel numerical simulation methods to investigate some fundamental features of disturbance wave development in fluid boundary-layer flows. It will focus on the stability of flows over solid surfaces with spatially and/or temporally varying deformations and motion.

There is a wide range of potential applications. These include the reduction of skin friction drag for flows over aircraft wings and marine vehicles. For example, for the case of aircraft, there is a strong technological interest in the optimisation of wing surface motions that can be deployed to favourably modify the structures of a turbulent boundary layer, without triggering any new forms of instability. Similar optimization issues arise with the use of so-called compliant surface coatings, which attempt to mimic the conjectured drag reducing capabilities of dolphin skin. In this case, the aim is to maintain a laminar boundary layer flow by postponing the transition to turbulence, which necessitates the avoidance of any detrimental effects from the destabilisation of flow-induced surface waves.

The project could also encompass an investigation of the stability of various oscillatory flows, including configurations that are of interest for physiological flow modelling. Even when such a flow is bounded by a solid surface with a relatively simple planar geometry, there are a number of mathematically and physically intriguing features of the disturbance development that remain poorly understood.

Funding Notes

UK Research Council eligibility conditions apply.

Full awards (fees plus maintenance stipend) are open to UK Nationals and EU students who can satisfy UK residency requirements. To be eligible for the award, EU Nationals must have been in the UK for at least 3 years prior to the start of the course for which they are seeking funding, including for the purposes of full-time education.

References

Applicants should submit an application for postgraduate study via the Cardiff University Online Application Service.
http://www.cardiff.ac.uk/study/postgraduate/research/programmes/programme/mathematics

Applicants should select Doctor of Philosophy (Mathematics) with an entry date of October 2019

In the "Research proposal and Funding" section of your application, please specify the project title and supervisors of this project and copy the project description in the text box provided.

Please select “No, I am not self-funding my research” when asked whether you are self-funding your research.

Please add “EPSRC Doctoral Training Partnership PhD in Mathematics" when asked "Please provide the name of the funding you are applying for".

In the research proposal section of your application, please specify the project title and supervisors of this project.

Related Subjects

How good is research at Cardiff University in Mathematical Sciences?

FTE Category A staff submitted: 24.05

Research output data provided by the Research Excellence Framework (REF)

Click here to see the results for all UK universities

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