Theoretical and Computational Fluid Dynamics

, Volume 21, Issue 4, pp 271–290

Convective and absolute instabilities in non-Boussinesq mixed convection

Original Article

DOI: 10.1007/s00162-007-0049-y

Cite this article as:
Suslov, S.A. Theor. Comput. Fluid Dyn. (2007) 21: 271. doi:10.1007/s00162-007-0049-y

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 non-linear 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 Suslov (J Comp Phys 212, 188–217, 2006) is assessed using the method of steepest descent.

Keywords

Spatio-temporal instabilityNon-Boussinesq convectionMixed convection

PACS

47.20Bp47.55.P47.15.Fe

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of Mathematics and Computing and Computational Engineering and Science Research CentreUniversity of Southern QueenslandToowoombaAustralia