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Granular and Particle-Laden Flows

Participation in INI programmes is by invitation only. Anyone wishing to apply to participate in the associated workshop(s) should use the relevant workshop application form.

1st September 2003 to 19th December 2003
Tom Mullin University of Manchester
Nico Gray University of Manchester
Kolumban Hutter Technische Universität Darmstadt
James Jenkins Cornell University


Programme Theme

The programme will be concerned with theoretical issues in the burgeoning areas of dry granular and particle laden flows. The flow of such materials is of considerable practical interest with applications ranging from the geosciences to industry. In recent years it has also become a very active area in the international physics community as it provides rich structure in the form of novel pattern forming processes. Much of the progress that is made in these studies relies upon relatively simple mathematical modelling which is often ad hoc in nature. In all cases, a fundamental difficulty which makes essesntial theoretical input difficult is the availability of suitable continuum models. Indeed, appeal is often made to microscopic descriptions although these are often limited in scope. Therefore, the time is now ripe for a workshop where mathematicians and physicists can be brought together to discuss these fundamental issues at a detailed level.

Two intensive week-long workshops are planned as part of the programme;

  1. Flow Regimes, Transitions and Segregation in Granular and Particle-Laden Flows.
    The workshop will focus on pattern formation, transitions between patterns, and chaos as seen in well controlled experiments on granular materials and as predicted in mathematical models. The phenomena of interest include flow segregation in rotating drums, clustering in granular shearing flows, and free surface structures seen in vibrated beds.
  2. Geophysical Granular and Particle-Laden Flows.
    The central theme of the workshop will be theoretical modelling, with an emphasis on geophysical flows. Applications will range from sediment transport to powder snow avalanches. Mathematical issues associated with localization, type change, and stability will be included in an effort to predict failure, jamming, surging, and other rapid changes between flow regimes.
Final Scientific Report: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons