Transitional regimes of penetrative convection in a plain layer

Penetrative convection in a plain layer of water is considered for the interval of temperatures containing the point of density maximum. When the unstable and stable layers are equal in the static conductive state, the development of convective instability is investigated from the formation of stead...

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Bibliographic Details
Published in:Doklady. a journal of the Russian Academy of Sciences. Physics 2011-05, Vol.56 (5), p.271-274
Main Authors: Kuznetsova, D. V., Sibgatullin, I. N.
Format: Article
Language:English
Subjects:
Classical Mechanics
Mathematical and Computational Physics
Mechanics
Physics
Physics and Astronomy
Theoretical
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Summary:Penetrative convection in a plain layer of water is considered for the interval of temperatures containing the point of density maximum. When the unstable and stable layers are equal in the static conductive state, the development of convective instability is investigated from the formation of steady structures to chaotic motion. Scales of the periodicity cell for regimes with a strong nonlinear effect were chosen with particular attention. Specifics are shown for steady structures with small-scale vortices near upper boundaries and for periodic motions with synchronized oscillations of the lower parts of vertically elongated profiles of temperature that move symmetrically. With the increase of supercriticality, the motion loses reflection symmetry, becomes doubly periodic, and finally becomes quasi-periodic before transition to chaotic motion. Domains of hysteresis are investigated for which motions with different structure and heat fluxes coexist, and it is illustrated by the dependence of the Nusselt number on supercriticallity.
ISSN:1028-3358
1562-6903
DOI:10.1134/S102833581105003X