Journal
MATHEMATIKA
Volume 56, Issue 1, Pages 140-168Publisher
LONDON MATH SOC
DOI: 10.1112/S0025579309000473
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Funding
- EPSRC
- Engineering and Physical Sciences Research Council [EP/D069335/1] Funding Source: researchfish
- EPSRC [EP/D069335/1] Funding Source: UKRI
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Interactions between a finite number of bodies and the surrounding fluid, in a channel for instance, are investigated theoretically. In the planar model here the bodies or modelled grains are thin solid bodies free to move in a nearly parallel formation within a quasi-inviscid fluid. The investigation involves numerical and analytical studies and comparisons. The three main features that appear are a linear instability about a state of uniform motion, a clashing of the bodies (or of a body with a side wall) within a finite scaled time when nonlinear interaction takes effect, and a continuum-limit description of the body-fluid interaction holding for the case of many bodies.
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