Asymptotic behavior of a viscoelastic fluid in a closed loop thermosyphon: physical derivation, asymptotic analysis, and numerical experiments

Termosifón, fluido visco elástico, variedad inercial.

Fluids subject to thermal gradients produce complex behaviors that arise from the competition with gravitational effects. Although
such sort of systems have been widely studied in the literature for simple (Newtonian) fluids, the behavior of viscoelastic fluids
has not been explored thus far. We present a theoretical study of the dynamics of a Maxwell viscoelastic fluid in a closed-loop
thermosyphon.This sort of fluid presents elastic-like behavior and memory effects. We study the asymptotic properties of the fluid
inside the thermosyphon and the exact equations of motion in the inertial manifold that characterizes the asymptotic behavior.
We derive, for the first time, the mathematical derivations of the motion of a viscoelastic fluid in the interior of a closed-loop
thermosyphon under the effects of natural convection and a given external temperature gradient.