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

✍ Scribed by A. Jiménez-Casas; A. Rodríguez-Bernal

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
197 KB
Volume
22
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by G. F. Roach

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.

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