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

A symmetry breaking pattern switching phenomenon is observed in 2D granular media under compression. When the undeformed configuration on the left is compressed, rigid cylinders (white) form pairs, resulting from the buckling of columns of elastic cylinders (purple).

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.

Bubbles propagating through expansions and contractions:

Semi-infinite and finite bubbles, propagating through a fluid filled channel of varying geometries. These have applications in microfluidics and the hydrocarbon industry.

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.