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Shear flow over flexible three-dimensional patches in a surface
Author(s) -
F. T. Smith
Publication year - 2018
Publication title -
philosophical transactions of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.074
H-Index - 169
eISSN - 1471-2962
pISSN - 1364-503X
DOI - 10.1098/rsta.2017.0348
Subject(s) - shear flow , mechanics , shear (geology) , flow (mathematics) , nonlinear system , geology , surface (topology) , boundary layer , classical mechanics , physics , geometry , statistical physics , mathematics , petrology , quantum mechanics
Slowly varying shear flow is considered over one or more flexible three-dimensional patches in a surface inside a boundary layer. At certain shear values, resonances emerge in which the effects on flow and patch shape are enlarged by an order of magnitude. Fast evolution then occurs: this leads to fully nonlinear unsteady interaction, after some delay, combining with finite-time break-ups to form a distinct path into transition.This article is part of the theme issue 'Modelling of sea-ice phenomena'.

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