Bifurcations in convection of incompressible fluid in a rotated square cylinder

Paper


Sharifulin, Albert and Suslov, Sergey A.. 2008. "Bifurcations in convection of incompressible fluid in a rotated square cylinder." Denier, J., Finn, M. D. and Mattner, T. (ed.) 22nd International Congress of Theoretical and Applied Mechanics ICTAM 2008. Adelaide, Australia 24 - 29 Aug 2008 Adelaide, Australia.
Paper/Presentation Title

Bifurcations in convection of incompressible fluid in a rotated square cylinder

Presentation TypePaper
AuthorsSharifulin, Albert (Author) and Suslov, Sergey A. (Author)
EditorsDenier, J., Finn, M. D. and Mattner, T.
Journal or Proceedings TitleProceedings of the XXII International Congress of Theoretical and Applied Mechanics
Number of Pages2
Year2008
Place of PublicationAdelaide, Australia
ISBN9780980514209
Web Address (URL) of Paperhttp://ictam2008.adelaide.edu.au/
Conference/Event22nd International Congress of Theoretical and Applied Mechanics ICTAM 2008
Event Details
22nd International Congress of Theoretical and Applied Mechanics ICTAM 2008
Event Date
24 to end of 29 Aug 2008
Event Location
Adelaide, Australia
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.

Keywordsbifurcations, convection
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
Public Notes

No evidence of copyright restricitons on web site, for Author version.

Byline AffiliationsPerm State University, Russia
Computational Engineering and Science Research Centre
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https://research.usq.edu.au/item/9yw33/bifurcations-in-convection-of-incompressible-fluid-in-a-rotated-square-cylinder

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