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Finite-dimensional behavior in a thermosyphon with a viscoelastic fluid

Pages: 375 - 384, Issue special, November 2013

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A. Jiménez-Casas - Grupo Dinámica No Lineal(ICAI), Universidad Pontificia Comillas, C/Alberto Aguilera 23, 28015 Madrid, Spain (email)
Mario Castro - Grupo Interdisciplinar de Sistemas Complejos (GISC) and Grupo de Dinmica No Lineal (DNL), Escuela Tcnica Superior de Ingeniera (ICAI), Universidad Pontificia Comillas, E28015, Madrid, Spain (email)
Justine Yassapan - Grupo de Dinmica No Lineal (DNL), Departamento de Matemtica Aplicada y Computacin, Escuela Tcnica Superior de Ingeniera (ICAI), Universidad Ponti cia Comillas, E28015, Madrid, Spain (email)

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.

Keywords:  Thermosyphon, viscoelastic fluid, heat flux, asymptotic behaviour.
Mathematics Subject Classification:  35M33, 35B42, 76A10.

Received: July 2012; Published: November 2013.

 References