Premium
ON INTERACTION BETWEEN FALLING BODIES AND THE SURROUNDING FLUID
Author(s) -
Smith Frank T.,
Ellis Andrew S.
Publication year - 2010
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579309000473
Subject(s) - inviscid flow , fluid–structure interaction , planar , instability , mechanics , mathematics , falling (accident) , classical mechanics , nonlinear system , limit (mathematics) , mathematical analysis , physics , finite element method , thermodynamics , medicine , environmental health , computer graphics (images) , quantum mechanics , computer science
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.