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Symmetry breaking perturbative flows to ...
Akinaga, Takeshi...
Symmetry breaking perturbative flows to retrieve resonant modes in plane shear layers by Akinaga, Takeshi ( Author )
N.A
01-01-2015
We propose a simple computational procedure in order to resolve the degeneracy, which invariably exists on the background of fluid motion associated with a channel of infinite extent. The procedure is applied to elucidate the bifurcation structure for the particular case of laterally heated flow with the addition of a perturbative Poiseuille flow component. The introduction of a symmetry breaking perturbation as the simplest imperfection alters the bifurcation tree of the original shear flow. As a result, the previously unknown higher order nonlinear solutions for the unperturbed flow are discovered, without implementing classical stability theory.
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Article
pdf
36.88 KB
English
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MYR 0.01
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http://arxiv.org/abs/1503.02625
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