Finite-dimensional behavior in a thermosyphon with a viscoelastic fluid

A. Jiménez-Casas, M. Castro, J. Yasappan

9th International Conference on Dynamical Systems, Differential Equations and Applications - ICDSDEA 2012, Orlando (United States of America). 01-05 July 2012

Summary:

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.

DOI: https://doi.org/10.3934/proc.2013.2013.375

Published in AIMS Proceedings, vol: 2013, pp: 375-384, ISSN: 0133-0189

Publication date: 2013-11-01.

Citation:
A. Jiménez-Casas, M. Castro, J. Yasappan, Finite-dimensional behavior in a thermosyphon with a viscoelastic fluid, 9th International Conference on Dynamical Systems, Differential Equations and Applications - ICDSDEA 2012, Orlando (United States of America). 01-05 July 2012. In: AIMS Proceedings, vol. 2013, nº. Issue Special, ISSN: 0133-0189