Convective and absolute instabilities in non-Boussinesq mixed convection

Article

Suslov, Sergey A.. 2007. "Convective and absolute instabilities in non-Boussinesq mixed convection ." Theoretical and Computational Fluid Dynamics. 21 (4), pp. 271-290. https://doi.org/10.107/s00162-007-0049-y
Article Title

Convective and absolute instabilities in non-Boussinesq mixed convection

ERA Journal ID1300
Article CategoryArticle
Authors
AuthorSuslov, Sergey A.
Journal TitleTheoretical and Computational Fluid Dynamics
Journal Citation21 (4), pp. 271-290
Number of Pages21
Year2007
Place of PublicationGermany
ISSN0935-4964
1432-2250
Digital Object Identifier (DOI)https://doi.org/10.107/s00162-007-0049-y
Web Address (URL)http://www.springerlink.com/content/q600617475852313/
Abstract

[Abstract]: The problem of non-Boussinesq mixed convection in a vertical channel formed by two differentially heated infinite plates is investigated and the complete convective/absolute instability boundary is computed for a wide range of physical parameters. A physical insight into the mechanisms causing instabilities is given. In particular, it
is shown that the appearance of absolute instability is always dictated by a flow reversal within a channel, however existence of the flow reversal does not exclude the possibility of convective instability. It is also shown that fluid's nonlinear transport
property variations have a dramatic effect on the structure and complexity of spatio-temporal instabilities of the co-existing buoyancy and shear modes as the temperature difference across the channel increases. The validity of the stability results obtained using the procedure described in (J. Comp. Phys.212, 188-217) is assessed using the
method of steepest descent.

Keywordsspatio-temporal instability; non-Boussinesq convection; mixed 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)
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File reproduced in accordance with the copyright policy of the publisher/author.

Byline AffiliationsComputational Engineering and Science Research Centre
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