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 semi-infinite air finger propagates into an elastic-walled channel initially filled by a viscous fluid. The influence of gravity causes asymmetries in the channel wall shapes and in the thicknesses of the fluid films above and below the finger, leading to a monotonic relationship between the air pressure and finger speed.
Vibration-driven segregation of grains.
Segregation of a thin layer of a mixture of polystyrene beads and '100's and 1000's' under vibration.
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.
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...