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.
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...