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.
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.
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.
Vibration-driven segregation of grains.
Segregation of a thin layer of a mixture of polystyrene beads and '100's and 1000's' under vibration.
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.