Manchester Centre for Nonlinear Dynamics

The Manchester Centre for Nonlinear Dynamics is comprised of researchers from the Department of Mathematics and the Department 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.

Granular jets and hydraulic jumps on an inclined planeMulti-component particle-size segregation in shallow granular avalanchesGravity-driven granular free-surface flow around a circular cylinderRaleigh-Taylor instability in a finite cylinderParticle-size segregation in dense granular avalanchesUnderlying asymmetry within particle size segregationSegregation induced finger formation in granular free-surface flows

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

A perforated column can buckle in a complex way when compressed, due to interactions between deformations over the lengthscale of the whole column, bending of the thin ligaments that separate the perforations, and nonlinearity of material response. Read more...

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...