Effect of fluid properties variations on spatio-temporal instability of convection

Paper

Suslov, Sergey A.. 2002. "Effect of fluid properties variations on spatio-temporal instability of convection." Indeitsev, Dmitry A. (ed.) APM 2001: 29th Summer School on 'Advanced Problems in Mechanics. Repino, Russia 21 - 30 Jun 2001 St. Petersburg, Russia.
Paper/Presentation Title

Effect of fluid properties variations on spatio-temporal instability of convection

Presentation TypePaper
Authors
AuthorSuslov, Sergey A.
EditorsIndeitsev, Dmitry A.
Journal or Proceedings TitleProceedings of the 29th Summer School on 'Advanced Problems in Mechanics' (APM 2001)
Number of Pages8
Year2002
Place of PublicationSt. Petersburg, Russia
Web Address (URL) of Paperhttp://www.eng.abdn.ac.uk/~apm/2001/index.html
Conference/EventAPM 2001: 29th Summer School on 'Advanced Problems in Mechanics
Event Details
APM 2001: 29th Summer School on 'Advanced Problems in Mechanics
Event Date
21 to end of 30 Jun 2001
Event Location
Repino, Russia
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.

Keywordsnon-Boussinesq convection; spatio-temporal instability; Ginzburg-Landau equation
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
490299. Mathematical physics not elsewhere classified
Byline AffiliationsDepartment of Mathematics and Computing
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