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Title

Instabilities in buoyant flows under localized heating

AuthorsNavarro, M. C.; Mancho, Ana M.; Herrero, Henar
KeywordsRayleigh-Benard instability
Bifurcation
Benard convection
Flow simulation
Surface waves (fluid)
Issue Date18-Apr-2007
PublisherAmerican Institute of Physics
CitationChaos - Woodbury 17(2): 023105 (2007)
AbstractWe study, from the numerical point of view, instabilities developed in a fluid layer with a free surface in a cylindrical container which is nonhomogeneously heated from below. In particular, we consider the case in which the applied heat is localized around the origin. An axisymmetric basic state appears as soon as a nonzero horizontal temperature gradient is imposed. The basic state may bifurcate to different solutions depending on vertical and lateral temperature gradients and on the shape of the heating function. We find different kinds of instabilities: extended patterns growing on the whole domain, which include those known as targets, and spiral waves. Spirals are present even for infinite Prandtl number. Localized structures both at the origin and at the outer part of the cylinder may appear either as Hopf or stationary bifurcations. An overview of the developed instabilities as functions of the dimensionless parameters is presented in this article.
Description10 pages, 9 figures, 1 table.-- PACS: 47.20.Bp; 47.20.Ky; 47.10.-g; 47.35.-i
Publisher version (URL)http://dx.doi.org/10.1063/1.2714295
URIhttp://hdl.handle.net/10261/21659
DOI10.1063/1.2714295
ISSN1054-1500
Appears in Collections:(ICMAT) Artículos
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