Convective and absolute instabilities in non-Boussinesq mixed convection

Suslov, Sergey A. (2007) Convective and absolute instabilities in non-Boussinesq mixed convection. Theoretical and Computational Fluid Dynamics, 21 (4). pp. 271-290. ISSN 0935-4964

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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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Deposited in accordance with the copyright policy of the publisher (Springer-Verlag).
Depositing User: Dr Sergey Suslov
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 11 Oct 2007 01:10
Last Modified: 02 Jul 2013 22:45
Uncontrolled Keywords: spatio-temporal instability; non-Boussinesq convection; mixed convection
Fields of Research (FOR2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
Identification Number or DOI: doi: 10.107/s00162-007-0049-y
URI: http://eprints.usq.edu.au/id/eprint/2582

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