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ON INTERACTION BETWEEN FALLING BODIES AND THE SURROUNDING FLUID

Part of: Biological fluid mechanics Dynamics of a system of particles, including celestial mechanics Dynamics of a rigid body and of multi-body systems Coupling of solid mechanics with other effects Thin bodies, structures

Published online by Cambridge University Press:  10 December 2009

Frank T. Smith  and
Andrew S. Ellis
Frank T. Smith
Affiliation:
Department of Mathematics, UCL, Gower Street, London WC1E 6BT, U.K. (email: [email protected])
Andrew S. Ellis
Affiliation:
Department of Mathematics, UCL, Gower Street, London WC1E 6BT, U.K.
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Abstract

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.

MSC classification

Secondary: 76Z05: Physiological flows 74K35: Thin films 74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 70E55: Dynamics of multibody systems
Type
Research Article
Information
Mathematika , Volume 56 , Issue 1 , January 2010 , pp. 140 - 168
Copyright
Copyright © University College London 2010

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