Analysis of instability patterns in non-Boussinesq mixed convection using a direct numerical evaluation of disturbance integrals

Article

Suslov, Sergey A.. 2009. "Analysis of instability patterns in non-Boussinesq mixed convection using a direct numerical evaluation of disturbance integrals." Computers and Fluids. 38 (3), pp. 590-601. https://doi.org/10.1016/j.compfluid.2008.06.002
Article Title

Analysis of instability patterns in non-Boussinesq mixed convection using a direct numerical evaluation of disturbance integrals

ERA Journal ID5111
Article CategoryArticle
Authors
AuthorSuslov, Sergey A.
Journal TitleComputers and Fluids
Journal Citation38 (3), pp. 590-601
Number of Pages12
Year2009
Place of PublicationOxford, United Kingdom
ISSN0045-7930
1879-0747
Digital Object Identifier (DOI)https://doi.org/10.1016/j.compfluid.2008.06.002
Abstract

The Fourier integrals representing linearised disturbances arising from an initially localised source are evaluated numerically for natural and mixed convection flows between two differentially heated plates. The corresponding spatio-temporal instability patterns are obtained for strongly non-Boussinesq high-temperature convection of air and are contrasted to their Boussinesq counterparts. A drastic change in disturbance evolution scenarios is found when a large cross-channel temperature gradient leads to an essentially nonlinear variation of the fluid's transport properties and density. In particular, it is shown that non-Boussinesq natural convection flows are convectively unstable while forced convection flows can be absolutely unstable. These scenarios are opposite to the ones detected
in classical Boussinesq convection. It is found that the
competition between two physically distinct instability mechanisms which are due to the action of the shear and the buoyancy are responsible for such a drastic change in spatio-temporal characteristics of instabilities. The obtained numerical results confirm and complement semi-analytical conclusions of Suslov 2007 on the absolute/convective instability transition in non-Boussinesq mixed convection. Generic features of the chosen numerical approach are discussed and its advantages and shortcomings are reported.

Keywordsnon-Boussinesq convection; spatio-temporal instability
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
490302. Numerical analysis
490406. Lie groups, harmonic and Fourier analysis
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Byline AffiliationsComputational Engineering and Science Research Centre
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