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Séminaire de Calcul Scientifique et Modélisation

Fluid /body impacts and rebounds

Frank Smith

( University College London )

Salle de Conférences

le 12 avril 2012 à 11:00

Developments arising in recent research on impacts, fluid-fluid interactions and fluid-body interactions are described in this talk with applications in biomedicine, industry, engineering, planetary physics, not to forget ducks and drakes. Two areas are addressed first, one on internal dynamics and the other external. The internal case is motivated by embolisation (glue and blood) and has two-phase flow with a blob of one fluid entering a branching system initially occupied by another fluid. The solution dependence on the containing vessel shapes and various other parameters is examined. The external case has skimming (rebounds, bounces, skipping) as a thin solid body impacts obliquely upon a shallow liquid layer. The issue of rebound or sinking depends on fluid-body interaction which can be reduced to nonlinear ode form. Various new aspects of interaction are involved, including multiple rebounds, multi-body problems and networks. A combination of numerical and analytical studies is used throughout.