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 fingering and segregation-mobility feedback

A bidisperse granular avalanche exhibits a frontal instability which evolves into levee-channelised 'fingers'.

Pattern-switching in elastic media.

A pattern switch induced by the compression of a two-dimensional elastic foam. A square array of holes is transformed into an array of ellipses with their major axes arranged in orthogonal directions.

Attractors from Taylor-Couette flow.

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

Bubble oscillation in a constricted tube.

The propagation of an air bubble into a constricted channel initially filled by a viscous fluid can lead to oscillations with a well defined spatial period. Read more...