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Asymptotic behaviour of a closed‐loop thermosyphon with linear friction and viscoelastic binary fluid
Author(s) -
JiménezCasas Ángela
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5785
Subject(s) - viscoelasticity , thermosiphon , work (physics) , mechanics , mathematics , binary number , heat flux , loop (graph theory) , point (geometry) , mathematical analysis , classical mechanics , thermodynamics , heat transfer , physics , geometry , arithmetic , combinatorics
Viscoelastic fluids represent a major challenge both from an engineering and from a mathematical point of view. Recently, we have shown that viscoelasticity induces chaos in closed‐loop thermosyphons even when we consider binary fluids, this is, when we consider a solute in the fluid, as water and antifreezes, for example. In this work, we consider a linear friction law, and we show that in this case with the addition of a solute to the fluid we can prove, under some conditions, chaotic asymptotic behavior for suitable geometry of the circuit and heat flux or ambient temperature functions.