Journal
THEORETICAL AND APPLIED MECHANICS LETTERS
Volume 5, Issue 3, Pages 126-128Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.taml.2015.05.001
Keywords
Plume; Linear instability; Laminar flow stability; Buoyancy-driven instability; Bifurcation and symmetry breaking
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Funding
- Agence Nationale de la Recherche under the Cool Jazz'' project
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A linear stability analysis is performed for a plume flow inside a cylinder of aspect ratio 1. The configuration is identical to that used by Lopez and Marques (2013) for their direct numerical simulation study. It is found that the first bifurcation, which leads to a periodic axisymmetric flow state, is accurately predicted by linear analysis: both the critical Rayleigh number and the global frequency are consistent with the reported DNS results. It is further shown that pressure feedback drives the global mode, rather than absolute instability. (C) 2015 The Author. Published by Elsevier Ltd on behalf of The Chinese Society of Theoretical and Applied Mechanics.
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