2014 Madrid Conference on Applied Mathematics in honor of Alfonso Casal,
Electron. J. Diff. Eqns., Conference 22 (2015), pp. 53-61.

A thermosyphon model with a viscoelastic binary fluid

Angela Jimenez-Casas, Mario Castro

Abstract:
In this work we consider a viscoelastic fluid with the same transfer law across the loop, as in previous works we add a solute to the fluid. For this binary fluid, we consider the thermodiffusion (also known as Soret effect) to obtain the well-posedness of the mathematical formulation of this thermosyphon model, which is a generalization of the previous models.

Published November 20, 2015.
Math Subject Classifications: 35K58, 74D05
Key Words: Thermosyphon; viscoelastic fluid; thermodiffusion; Soret effect; non-Newtonian fluid; heat flux.

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Ángela Jiméenez-Casas
Grupo Dinámica No Lineal
Universidad Pontificia Comillas
28015-Madrid, Spain
email: ajimenez@comillas.edu
Mario Castro
Grupo Interdisciplinar de Sistemas Complejos (GISC)
Universidad Pontificia Comillas
28015-Madrid, Spain
email: marioc@comillas.edu

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