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Finite-dimensional asymptotic behavior in a thermosyphon including the Soret effect

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Rodríguez Bernal, Aníbal and Jiménez Casas, Ángela (1999) Finite-dimensional asymptotic behavior in a thermosyphon including the Soret effect. Mathematical Methods in the Applied Sciences, 22 (2). pp. 117-137. ISSN 0170-4214

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1099-1476(19990125)22:2%3C117::AID-MMA25%3E3.0.CO;2-0/pdf




Abstract

We analyse the dynamics of a fluid transporting a soluble substance in the interior of a closed loop of arbitrary geometry and subjected to the action of gravity and natural convection. After obtaining the governing equations and analysing the well posedness of the system we prove the existence of a global attractor. Finally, using inertial manifold techniques, we obtain an explicit reduced system of ODE's that describes the asymptotic behaviour of the full system


Item Type:Article
Uncontrolled Keywords:Soret diffusion; Global attractor; Explicit inertial manifold; Reduced system; Closed thermosiphon; Dynamics
Subjects:Sciences > Mathematics > Functions
ID Code:19870
Deposited On:08 Feb 2013 09:25
Last Modified:12 Dec 2018 15:07

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