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.
Discrete and continuous dynamical systems - Series A. Volume: 2013 Issue: Issue special Pages: 375-384
JCR Impact Factor and WoS quartile: 0.923 - Q1 (2013); 1.143 - Q1 (2018)
DOI reference: 10.3934/proc.2013.2013.375
Published on paper: November 2013.
A. Jiménez-Casas, M. Castro, J. Yasappan. Finite-dimensional behavior in a thermosyphon with a viscoelastic fluid. Discrete and continuous dynamical systems - Series A. vol. 2013, no. Issue special, pp. 375-384, November 2013.