Manchester Centre for Nonlinear Dynamics

The Manchester Centre for Nonlinear Dynamics is comprised of researchers from the School of Mathematics and the School of Physics and Astronomy at the University of Manchester. Research within the group is based upon the application of a combined approach of theoretical modelling, computation and detailed quantitative experimental investigations of nonlinear phenomena.

Underlying Asymmetry within Particle Size Segregation Granular jets and hydraulic jumps on an inclined plane Multi-component particle-size segregation in shallow granular avalanches Gravity-driven granular free-surface flow around a circular cylinder Raleigh-Taylor instability in a finite cylinder Breaking size-segregation waves Particle-size segregation in dense granular avalanches

Latest News: Work at the MCND on the curling of ribbons has been featured in a BBC News article. For more details see Anne Juel's site or our paper in PNAS.

Features

Numerical bifurcation tracking.

Contours of axial velocity for the flow past a cylindrical obstacle in a channel (top). A Hopf bifurcation occurs at Re ≈ 92, and the contours of the axial velocity for the critical eigenfunction (bottom) illustrate the complex downstream structure that must be resolved to accurately determine the location of the bifurcation.

Granular shocks in shallow free-surface flows

Granular avalanches exhibit discontinuous shocks and bores with complex interaction dynamics.

Vibration-driven segregation of grains.

Segregation of a thin layer of a mixture of polystyrene beads and '100's and 1000's' under vibration.

Attractors from Taylor-Couette flow.

The left one is from a quasiperiodic flow and the right one from a chaotic flow.

Viscous fingering under an elastic membrane.

Above a critical flow rate of air injection into a oil-filled elastic cell, the interface becomes unstable and an unusual fingering pattern develops.