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.


Granular shocks in shallow free-surface flows

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

Spin-over in a torus.

Snapshots of a simultaneous collisional boundary-layer breakdown in the cross section of a rotating fluid-filled torus following a change in the rotation rate.
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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.

Viscous fingering under a cellophane sheet.

Air is injected at constant flow rate into an oil-filled elastic cell, coupling a fingering instability to the wrinkling of the cellophane sheet.

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.