Suslov, Sergey A. (2002) Effect of fluid properties variations on spatio-temporal instability of convection. In: APM 2001: 29th Summer School on 'Advanced Problems in Mechanics, 21-30 Jun 2001, St Petersburg (Repino), Russia.
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Abstract
The classical problem of stability of convection flow in a tall vertical differentially heated rectangular cavity is considered. It is shown that realistic nonlinear fluid properties variations associated with a large cross-cavity temperature gradient lead to significant deviations from the flow scenarios predicted using conventional Boussinesq
approximation. It is well known that in the Boussinesq limit of a small temperature gradient the conduction state bifurcates supercritically to a stationary transverse roll pattern associated with the shear of the primary flow, and this instability is of absolute character. Here we
show that when the fluid properties vary, a new buoyancy driven oscillatory instability arises, the transition to shear driven instability becomes subcritical, and a range of parameters appears for which the character of instability is convective. Analytical results are obtained by deriving and solving the Ginzburg-Landau-type disturbance amplitude equation and are checked against the results of direct numerical simulation.
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| Item Type: | Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Date Deposited: | 11 Oct 2007 00:52 |
| Last Modified: | 02 Jul 2013 22:40 |
| Uncontrolled Keywords: | non-Boussinesq convection; spatio-temporal instability; Ginzburg-Landau equation |
| Fields of Research (2008): | 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics 01 Mathematical Sciences > 0105 Mathematical Physics > 010599 Mathematical Physics not elsewhere classified |
| Fields of Research (2020): | 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics 49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490299 Mathematical physics not elsewhere classified |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences |
| URI: | http://eprints.usq.edu.au/id/eprint/1806 |
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