Theoretical and Computational Fluid Dynamics
, Volume 21, Issue 4, pp 271290
First online:
Convective and absolute instabilities in nonBoussinesq mixed convection
 Sergey A. SuslovAffiliated withDepartment of Mathematics and Computing and Computational Engineering and Science Research Centre, University of Southern Queensland Email author
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The problem of nonBoussinesq 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 spatiotemporal instabilities of the coexisting buoyancy and shear modes as the temperature difference across the channel increases. The validity of the stability results obtained using the procedure described in Suslov (J Comp Phys 212, 188–217, 2006) is assessed using the method of steepest descent.
Keywords
Spatiotemporal instability NonBoussinesq convection Mixed convectionPACS
47.20Bp 47.55.P 47.15.Fe Title
 Convective and absolute instabilities in nonBoussinesq mixed convection
 Journal

Theoretical and Computational Fluid Dynamics
Volume 21, Issue 4 , pp 271290
 Cover Date
 200707
 DOI
 10.1007/s001620070049y
 Print ISSN
 09354964
 Online ISSN
 14322250
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Spatiotemporal instability
 NonBoussinesq convection
 Mixed convection
 47.20Bp
 47.55.P
 47.15.Fe
 Industry Sectors
 Authors

 Sergey A. Suslov ^{(1)}
 Author Affiliations

 1. Department of Mathematics and Computing and Computational Engineering and Science Research Centre, University of Southern Queensland, Toowoomba, QLD, 4350, Australia