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- Convective and absolute instabilities in non-Boussinesq mixed convection
- Suslov, Sergey A.
- 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.
- Publication type
- Journal article
- Theoretical and Computational Fluid Dynamics, Vol. 21, no. 4 (Jul 2007), pp. 271-290
- Publication year
- FOR Code(s)
- 0203 Classical Physics
- Boussinesq equation; Buoyancy; Computation theory; Convection; Convective instability; Flow measurement; Flow reversal; Instability; Mixed convection; Non-Boussinesq convection; Parameter estimation; Spatiotemporal analysis; Spatio-temporal instability
- Publisher URL
- Copyright © Springer-Verlag 2007. Author's version of the paper reproduced here in accordance with the copyright policy of the publisher. The original publication is available at http://www.springerlink.com.
- Additional information
- This work was partially supported by a computing grant from the Australian Partnership for Advanced Computing, 2000-2003.
- Full text
- Peer reviewed