http://www.cnr.it/ontology/cnr/individuo/prodotto/ID7692
A Lorenz-like model for the horizontal convection flow (Articolo in rivista)
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- Label
- A Lorenz-like model for the horizontal convection flow (Articolo in rivista) (literal)
- Anno
- 2003-01-01T00:00:00+01:00 (literal)
- Alternative label
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- Bucchignani E., Georgescu A., Mansutti D. (literal)
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- Questo lavoro e' stato parzialmente finanziato da A.S.I., progetto \"Modelli matematici, analisi sperimentale e numerica di alcuni aspetti della cristallizzazione da fuso in microgravita'\", 1998. (literal)
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- Rivista
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- Note
- ISI Web of Science (WOS) (literal)
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- E. Bucchignani, C.I.R.A., Capua (CE), A. Georgescu, Dept. Mathematics, Univ. Bucharest; D. Mansutti, I.A.C.-Roma/C.N.R. (literal)
- Titolo
- A Lorenz-like model for the horizontal convection flow (literal)
- Abstract
- In this work we study a finite dynamical system for the description of the
bifurcation pattern of the convection flow of a fluid between two parallel
horizontal planes which undergoes a {\em horizontal} gradient of temperature
({\em horizontal} convection flow). Although in the two-dimensional case
developed
here,literature reports as well a long list of analytical and numerical
solutions to this problem, the peculiar aim of this work makes it worthwhile.
Actually we develop the route that Saltzman (1962) \cite{Sal62} and
Lorenz (1963) \cite{Lor63} proposed for the {\em vertical}
convection flow that started successfully the approach to finite dynamical
systems. We obtain steady-to-steady and steady-to-periodic bifurcations in
qualitative agreement with already published results. At first we adopt the
non-dimensional scheme used by Saltzman and Lorenz; as it admits also
physically meaningless solutions, we introduce a different set of
reference quantities so overcoming this drawback. (literal)
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