Bifurcations in convection of incompressible fluid in a rotated square cylinder

Sharifulin, Albert and Suslov, Sergey A. (2008) Bifurcations in convection of incompressible fluid in a rotated square cylinder. In: XXII International Congress of Theoretical and Applied Mechanics ICTAM 2008, 24-29 Aug 2008, Adelaide, Australia.

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Abstract

[Summary]: We consider two-dimensional convection of air in a long horizontal square cylinder two opposite side walls of which are thermally insulated and the other two are maintained at constant but different temperatures. The cylinder is gradually rotated about its horizontal axis so that the direction of the wall-to-wall temperature gradient changes with respect to the gravity vector: the cylinder is consecutively heated from the bottom, the side, the top and vice versa. It is found that a multitude of stationary bifurcating solution exist depending on the inclination angle and the Rayleigh number. Normally and abnormally rotating solutions are defined and distinguished and the bifurcation curve is computed for the first bifurcation resulting in an abnormally rotating convection roll.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restricitons on web site, for Author version.
Depositing User: Dr Sergey Suslov
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 04 Sep 2008 06:08
Last Modified: 08 Aug 2014 00:59
Uncontrolled Keywords: bifurcations, convection
Fields of Research (FOR2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
URI: http://eprints.usq.edu.au/id/eprint/4374

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