Finite-dimensional behavior in a thermosyphon with a viscoelastic fluid

A. Jiménez-Casas; Mario Castro; Justine Yassapan

doi:10.3934/proc.2013.2013.375

Article Contents

2013, Volume 2013: 375-384. Doi: 10.3934/proc.2013.2013.375 open access

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Finite-dimensional behavior in a thermosyphon with a viscoelastic fluid

1.
Grupo Dinámica No Lineal(ICAI), Universidad Pontificia Comillas, C/Alberto Aguilera 23, 28015 Madrid
2.
Grupo Interdisciplinar de Sistemas Complejos (GISC) and Grupo de Dinmica No Lineal (DNL), Escuela Tcnica Superior de Ingeniera (ICAI), Universidad Pontificia Comillas, E28015, Madrid
3.
Grupo de Dinmica No Lineal (DNL), Departamento de Matemtica Aplicada y Computacin, Escuela Tcnica Superior de Ingeniera (ICAI), Universidad Ponticia Comillas, E28015, Madrid

Received: June 30, 2012

Published: October 2013

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Abstract

We analyse the motion of a viscoelastic fluid in the interior of a closed loop thermosyphon under the effects of natural convection. We consider a viscoelastic fluid described by the Maxwell constitutive equation. This fluid presents elastic-like behavior and memory effects. We study the asymptotic properties of the fluid inside the thermosyphon and derive the exact equations of motion in the inertial manifold that characterize the asymptotic behavior. Our work is a generalization of some previous results on standard (Newtonian) fluids.

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Mathematics Subject Classification: 35M33, 35B42, 76A10.

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References

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