- Value: This project is eligible for funding in an open competition across all subjects from the Leeds-York NERC DTP. The deadline is 8 January 2018. Funding is available for UK and EU students.
This project is also open to self-funded students and is eligible for funding from the School of Mathematics Scholarships, EPSRC Doctoral Training Partnerships, and the Leeds Doctoral Scholarships. All successful UK/EU and international applicants will be considered for funding, in an open competition across the School of Mathematics. To be considered for this funding, it is recommended to apply no later than 31 March 2018 for funding to start in October 2018. However, earlier applications are welcome, and will be considered on an ongoing basis.
- Number of awards: 1
- Deadline: Ongoing
Doubly diffusive convection is frequently encountered in natural sciences. For example, solar radiations heat the oceans making their surface warmer. In addition, due to evaporation, the density of salt in the oceans (salinity) increases towards the surface. This doubly diffusive configuration where salinity and temperature diffuse in the ocean is called thermohaline convection and gives rise to interesting phenomena. Indeed, the oceans are structured into thermohaline staircases in which the salinity remains mostly constant but jumps at specific depth levels. Thermohaline convection in these staircases is responsible for an instability called salt finger instability whereby the interface between two layers of different salinities becomes unstable and produces vertically elongated structures (fingers) of salty fluid sinking within the purer layer. This instability has been widely studied and was found to play a major role in the mixing of the oceans at low latitude and to strongly interact with large scale oceanic currents.
In this project, we will investigate the properties of spatially localised doubly diffusive convection states named convectons. These states consist in one or few convection rolls surrounded by motionless fluid and persist in spite of the fact that the fluid is homogeneously forced.
Convectons have recently been studied and revealed interesting properties among which:
(i) a large number of such states co-exists in the same physical conditions and
(ii) they are found below the instability threshold.
We will study the role of such states on the global dynamics of the system. To that aim, we will consider different configurations to find stable convectons. These will constitute the first ever computation of stable spatially localised fluid flows in three dimensions. The characterisation of these convectons will provide invaluable information on their role in the typically chaotic dynamics observed in nature and advance the theory of pattern formation.
Applicants should have, or expect to obtain, a minimum of a UK upper second class honours degree in Mathematics or a related discipline, or equivalent.
How to apply
To apply for NERC funding, visit the NERC Doctoral Training Partnership website.
Formal applications for research degree study should be made online through the university's website. Please state clearly in the research information section that the PhD you wish to be considered for is 'Stable doubly diffusive convections’ as well as Dr Cedric Beaume as your proposed supervisor.
If English is not your first language, you must provide evidence that you meet the University’s minimum English Language requirements.
If you require any further information please contact the Graduate School Office
We welcome scholarship applications from all suitably-qualified candidates, but UK black and minority ethnic (BME) researchers are currently under-represented in our Postgraduate Research community, and we would therefore particularly encourage applications from UK BME candidates. All scholarships will be awarded on the basis of merit.