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.

Granular jets and hydraulic jumps on an inclined planeMulti-component particle-size segregation in shallow granular avalanchesGravity-driven granular free-surface flow around a circular cylinderRaleigh-Taylor instability in a finite cylinderParticle-size segregation in dense granular avalanchesUnderlying asymmetry within particle size segregationSegregation induced finger formation in granular free-surface flows

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

Sinuous instability of a confined jet

Left: Passive tracers (shown as streaks) in a confined turbulent momentum jet; middle: corresponding velocity field (arrows) and vorticity field (background) measured using particle image velocimetry; right: schematic of the self-similar unstable sinuous core and alternating side vortices.

Numerical bifurcation tracking.

Contours of axial velocity for the flow past a cylindrical obstacle in a channel (top). A Hopf bifurcation occurs at Re ≈ 92, and the contours of the axial velocity for the critical eigenfunction (bottom) illustrate the complex downstream structure that must be resolved to accurately determine the location of the bifurcation.

Spin-over in a torus.

Snapshots of a simultaneous collisional boundary-layer breakdown in the cross section of a rotating fluid-filled torus following a change in the rotation rate.
View animation...

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.