Multi-mode spatio-temporal instability in non-Boussinesq convection

Article

Suslov, Sergey A.. 2004. "Multi-mode spatio-temporal instability in non-Boussinesq convection." Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal.
Article Title

Multi-mode spatio-temporal instability in non-Boussinesq convection

ERA Journal ID43
Article CategoryArticle
Authors
AuthorSuslov, Sergey A.
Journal TitleAustralia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
Number of Pages14
Year2004
PublisherCambridge University Press
Place of PublicationAustralia
ISSN1446-1811
1446-8735
Web Address (URL)http://anziamj.austms.org.au/V45/CTAC2003/Susl/Susl.pdf
Abstract

It is shown that nonlinear (non-Boussinesq) fluid property variations caused by large temperature differences between the walls of a vertical channel are responsible for the appearance of physically distinct types of instability in
mixed convection flows: the previously known shear and new buoyancy-induced instabilities. Shear instability dominates the forced convection regimes, while the buoyancy instability prevails in nearly natural convection states.
The most challenging situation requiring elaborate theoretical analysis and numerical verification arises in a mixed convection regime where both instabilities compete, forming a wide variety of possible flow patterns. Each of the instabilities is found to undergo the transition from a convective state (when disturbances grow and propagate away from their source) to absolute (when disturbances grow and occupy the complete flow domain). A number of regions in a complete parameter space corresponding to qualitatively
different flow scenarios are identified, and accurate boundaries separating them are computed. Various patterns are illustrated by the direct evaluation of the Fourier integrals representing disturbances.

Keywordsnon-Boussinesq convection
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
490406. Lie groups, harmonic and Fourier analysis
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Byline AffiliationsDepartment of Mathematics and Computing
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