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ON INTERACTION BETWEEN FALLING BODIES AND THE SURROUNDING FLUID

Smith, FT; Ellis, AS; (2010) ON INTERACTION BETWEEN FALLING BODIES AND THE SURROUNDING FLUID. MATHEMATIKA , 56 (1) 140 - 168. 10.1112/S0025579309000473. Green open access

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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.

Type: Article
Title: ON INTERACTION BETWEEN FALLING BODIES AND THE SURROUNDING FLUID
Open access status: An open access version is available from UCL Discovery
DOI: 10.1112/S0025579309000473
Publisher version: http://dx.doi.org/10.1112/S0025579309000473
Language: English
Additional information: © 2010 Cambridge University Press
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/104950
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