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Stability of fluid flows over deformed and moving surfaces

  • Full or part time
  • Application Deadline
    Applications accepted all year round
  • Self-Funded PhD Students Only
    Self-Funded PhD 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

This project is currently open only to applications from those students who have their own funding

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

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 “YES” when asked whether you are self-funding your research.

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)

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