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Transition from periodic to chaotic thermal convection

Published online by Cambridge University Press:  20 April 2006

John B. McLaughlin  and
Steven A. Orszag
John B. McLaughlin
Affiliation:
Department of Chemical Engineering, Clarkson College of Technology, Potsdam, N.Y. 13676, U.S.A.
Steven A. Orszag
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A.
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Abstract

The transition to turbulence in Bénard convection in a layer of air bounded by rigid conducting walls is studied by numerical solution of the three-dimensional time-dependent Boussinesq equations. The wavy instability of rolls is compared with available experimental and theoretical results. The subsequent transition to chaotic convection is shown to occur for Rayleigh numbers larger than about 9000. The role of symmetry-breaking perturbations in the production of chaos is clarified.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 122 , September 1982 , pp. 123 - 142
Copyright
© 1982 Cambridge University Press

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