Research in Applied Mathematics:
Fluid Dynamics
Our research interests include:
Aerodynamics and acoustics: receptivity and boundary layer transition; ground effect; ultrasound scattering in colloids (Dr P W Hammerton, Dr R Purvis)
Biological flows: blood flow; motion of red blood cells through capillaries; use of bubbles in microsurgery. (Dr M G Blyth, Prof A Korobkin, Dr R Purvis, Dr Robert Whittaker)
Electrohydrodynamics: electric field effects on inviscid waves, and viscous film flow over topography. (Dr M G Blyth, Dr P W Hammerton, Dr E Parau)
Hydroelasticity: ice dynamics; water impact on elastic structures. (Dr E Parau, Prof A Korobkin, Prof L Morland)
Interfacial and free surface flows: Marangoni effects; flow past obstacles; spiralling liquid jets; water waves. (Dr M G Blyth, Dr M J Cooker, Dr E Parau)
Oscillating viscous flows: oscillating stagnation-point flows; time-averaged or acoustic streaming, with application to containerless processing in a low gravity environment; instability of flow through an elastic-walled tube. (Dr M G Blyth, Dr P W Hammerton, Prof N Riley, Dr Robert Whittaker)
Splashes and droplet impact: small-time behaviour, air-cushioning; three-dimensional impacts; influence on aircraft icing. (Dr R Purvis)
Superfluids and Bose-Einstein condensates : non-linear waves, nonequilibrium statistical mechanics, vortex dynamics. (Dr H Salman)
Violent flows: liquid splashes and jets; impacts of water waves on structures; slamming of ships, and liquid-cargo impacts inside containers. (Dr M J Cooker, Prof A Korobkin, Dr R Purvis)
Geophysical Fluid Mechanics
Problems studied include ocean, atmosphere and coupled ocean-atmosphere modelling. Improvements to numerical models of the large-scale ocean circulation are being developed and the dynamics of large-scale ocean and atmosphere flows are studied. The role of coupling between the ocean and atmosphere in tropics is under investigation. Other research interests include transport and mixing and data assimilation methods. (Dr A Matthews, Dr D Stevens, Dr H Salman)Mechanics of Solids
Mechanics of Solids research focuses on aspects of elastic wave propagation in crystalline media and constrained and nearly-constrained elastic, thermoelastic and viscoelastic solids, including energy propagation, surface waves, plate waves, and wave hierarchies in thermoelasticity. Also studied are materials with negative Poisson's ratio and incremental elastic moduli in finite elasticity. (Dr N H Scott)
Mathematical Biology
Please see the separate Research in Mathematical Biology page.Methods
Methods Our research requires a variety of different methods, including:Analytical function theory, asymptotic analysis, boundary integral methods, dynamical systems methods, mixed boundary value problems, numerical methods, spectral analysis.
