Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 42, Issue 18, Pages 6791-6809Publisher
WILEY
DOI: 10.1002/mma.5785
Keywords
asymptotic behaviour; linear friction; thermosyphon; thermodiffusion; Soret effect; viscoelastic fluid
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Funding
- AEI/FEDER, UE [FIS2016-78883-C2-2-P]
- Grupo de Dinamica No Lineal (U. P. Comillas) Spain
- Grupo de Investigacion CADEDIF [GR58/08 Grupo 920894 BSCH-UCM]
- Ministerio de Economia y Competitividad(Spain) [MTM2016-75465-P]
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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.
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