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Fast Solutions for Large Reynold’s Number in a Closed-Loop Thermosyphon with Binary Fluid

Author

Listed:
  • Ángela Jiménez-Casas

    (Grupo de Dinámica No Lineal, Universidad Pontificia Comillas de Madrid, C/Alberto Aguilera 23, 28015 Madrid, Spain
    These authors contributed equally to this work.)

  • Manuel Villanueva-Pesqueira

    (Grupo de Dinámica No Lineal, Universidad Pontificia Comillas de Madrid, C/Alberto Aguilera 23, 28015 Madrid, Spain
    These authors contributed equally to this work.)

Abstract

In this work, we analyze the asymptotic behavior of the solutions for a thermosyphon model where a binary fluid is considered, a fluid containing a soluble substance, and the Reynold’s number is large. The presented results are a generalization, in some sense, of the results for a fluid with only one component provided in Velázquez 1994 and RodrÍguez-Bernal and Van Vleck 1998. We characterize the conditions under which a fast time-dependent solution exits and it is attracted towards a fast stationary solution as the Reynold’s number tends to infinity. Numerical experiments were performed in order to illustrate the theoretical results. Using numerical simulations, we found fast time-dependent solutions close enough to the fast stationary one for certain values of the parameters.

Suggested Citation

  • Ángela Jiménez-Casas & Manuel Villanueva-Pesqueira, 2022. "Fast Solutions for Large Reynold’s Number in a Closed-Loop Thermosyphon with Binary Fluid," Mathematics, MDPI, vol. 10(7), pages 1-23, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1098-:d:782063
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