Flow patterns near codimension-2 bifurcation in non-Boussinesq mixed convection
Paper
Paper/Presentation Title | Flow patterns near codimension-2 bifurcation in non-Boussinesq mixed convection |
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Presentation Type | Paper |
Authors | |
Author | Suslov, Sergey A. |
Editors | Shalfeev, V. D. |
Journal or Proceedings Title | Proceedings of Progress in Nonlinear Science, International Conference dedicated to the 100th Anniversary of A.A. Andronov |
Number of Pages | 6 |
Year | 2002 |
Place of Publication | Nizniy Novgorod, Russia |
Web Address (URL) of Paper | http://www.nonlinear.sci-nnov.ru/ |
Conference/Event | Progress in Nonlinear Science, International Conference dedicated to the 100th Anniversary of A.A. Andronov |
Event Details | Progress in Nonlinear Science, International Conference dedicated to the 100th Anniversary of A.A. Andronov Event Date 02 to end of 06 Jul 2001 Event Location Nizhniy Novgorod, Russia |
Abstract | Realistic nonlinear (non-Boussinesq) fluid property variations with temperature (expressed, for example, by the Sutherland formulae for viscosity and thermal conductivity and by the ideal gas equation of state for the density) are shown to lead to a rich variety of flow instability phenomena in the classical problem of mixed convection in a differentially heated vertical channel. The instabilities are caused by competing buoyancy and shear effects. One of the most complicated and interesting flow regimes arises when two instability modes bifurcate simultaneously at the so-called codimension-2 point. It is shown that such a situation can be modelled successfully by coupled cubic complex Landau-type equations derived using a weakly nonlinear stability theory. In this paper the unfoldings of one of the double Hopf bifurcations detected in |
Keywords | bifurcation; non-Boussinesq convection; codimension-2 point; weakly non-linear stability |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
490299. Mathematical physics not elsewhere classified | |
Byline Affiliations | Department of Mathematics and Computing |
https://research.usq.edu.au/item/9xzv5/flow-patterns-near-codimension-2-bifurcation-in-non-boussinesq-mixed-convection
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