Applicants should have, or be expecting to obtain in the near future, a first class or good 2.1 honours degree (or equivalent) in mathematics, engineering or a mathematical science.
This project is suitable for someone who has an interest in Numerical Analysis and Fluid Mechanics. No previous acquaintance with Liquid Crystals is required.
Liquid crystals are fluids that show local orientational order. The interplay between orientation and flow in these substances is very intricate and can lead to interesting macroscopic phenomena, many of which are not yet fully understood. A particular example is the pattern formation that can occur in polymeric liquid crystals under
flow. This is an industrially important effect that influences, e.g., the stability of items produced by moulding. Flow is also important in certain types of liquid crystal displays.
The project will involve both theoretical modelling, and development and implementation of numerical methods for the solution of the generalised Stokes and Navier-Stokes equations that govern the flow. The resulting ideas and algorithms will be validated on appropriate test problems and suitable industrially relevant examples.
Dr Alison Ramage and Dr Andre Sonnet, Department of Mathematics and Statistics.