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.


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).

Granular shocks in shallow free-surface flows

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

Pipe turbulence.

A turbulent puff in pipe at Re = 2200.

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.

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...