Numerical magnetohydynamics on the stability analysis of liquid metal batteries

Congratulations on taking your first steps toward a Research Degree with Coventry’s Faculty of Engineering, Environment and Computing. As an ambitious and innovative University, we’re investing an initial £100m into our new research strategy, ‘Excellence with Impact’. Through original approaches from world-leading experts, we’re aiming for our research to make a tangible difference to the way we live. As a research student you are an integral part of Coventry’s lively and diverse research community and contribute to our reputation for excellence. With our exceptional facilities and superb support mechanisms you are afforded every opportunity for academic success.

The project
Applications are invited for a 3-year PhD studentship in numerical magnetohydynamics at the Applied Mathematics Research Centre, Coventry University. The recently-invented liquid metal batteries (LMB) offer an economic storage for the fluctuating power supply from wind turbines and other renewable sources. The LMB comprises two layers of molten metal separated by a thin layer of electrolyte which should be able to convey strong electric currents. The attraction of parallel currents passing through the battery during its charge/discharge cycles gives rise to an electromagnetic pinch force which may be balanced by the hydrodynamic pressure gradient provided that the current density is sufficiently low and uniform. The balance may become unstable if the current exceeds a certain critical threshold which depends on the design of the battery. The flow of molten metal ensuing from the instability may disrupt the electrolyte layer and thus cause the failure of the battery.

The objective of this PhD project is to optimise the design of liquid metal batteries by identifying possible instabilities and the parameter range they can appear. This is to be achieved by combining linear stability analysis with numerical modelling of the three-layer system including two electrolyte/molten-metal interfaces subject to a strong axial electric current. The research will be carried out in the collaboration with Helmholtz Zentrum Dresden-Rossendorf (HZDR) in Germany where molten metal batteries are developed in the framework of the Helmholtz Alliance LIMTECH project.

About the Centre/Department
Coventry’s research in the area of theoretical physics and applied mathematics includes eight statistical physicists, making it one of the largest statistical physics groups in the UK. There is a similar number of PhD students and a healthy influx of international visiting scientists. Coventry University's Statistical Physics Group is a member of the Doctoral College for Statistical Physics of Complex Systems. This is a partnership with the Universities of Leipzig (Germany), Lorraine (France) and Lviv (Ukraine) and we are developing co-supervision arrangements with each of these universities. We also have close collaborations with other leading universities worldwide and co-tutelle arrangements with some of these may also be possible.

Successful applicants
Successful applicants will have:

-A minimum of a 2:1 first degree in a relevant discipline/subject area with a minimum 60% mark in the Project element or equivalent with a minimum 60% overall module average,or

-A Masters Degree in a relevant subject area will be considered as an equivalent. The Masters must have been attained with overall marks at merit level (60%). In addition, the dissertation or equivalent element in the Masters must also have been attained with a mark at merit level (60%).

-The potential to engage in innovative research and to complete the PhD within a prescribed period of study.

-Language proficiency (IELTS overall minimum score of 7.0 with a minimum of 6.5 in each component).

Eligibility & Application Procedure
Application Procedure:
Application information can be found in our how to apply section. Before completing the application please contact Dr. Janis Priede for an initial informal discussion about the opportunity.

Eligibility:
All UK/EU/International students are eligible to apply that meet the academic requirements, the eligibility criteria can be found at http://www.coventry.ac.uk/research/research-students/research-entry-criteria/