Startseite Buoyancy driven convection with a Cattaneo flux model
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Buoyancy driven convection with a Cattaneo flux model

  • Brian Straughan , Vincenzo Tibullo EMAIL logo und Francesca Passarella
Veröffentlicht/Copyright: 14. Dezember 2023
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Journal of Non-Equilibrium Thermodynamics
Aus der Zeitschrift Journal of Non-Equilibrium Thermodynamics Band 49 Heft 2

Abstract

We review models for convective motion which have a flux law of Cattaneo type. This includes thermal convection where the heat flux law is a Cattaneo one. We additionally analyse models where the convective motion is due to a density gradient caused by a concentration of solute. The usual Fick’s law in this case is replaced by a Cattaneo one involving the flux of solute and the concentration gradient. Other effects such as rotation, the presence of a magnetic field, Guyer–Krumhansl terms, or Kelvin–Voigt theories are briefly introduced.

Keywords: thermal convection; Cattaneo flux; instability; nonlinear stability
Corresponding author: Vincenzo Tibullo, Dipartimento di Matematica, Università di Salerno, Fisciano, Italy, E-mail:

  1. Research ethics: Not applicable.

  2. Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Competing interests: The authors states no conflict of interest.

  4. Research funding: None declared.

  5. Data availability: Not applicable.

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Received: 2023-09-14
Accepted: 2023-10-27
Published Online: 2023-12-14
Published in Print: 2024-04-25

© 2023 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. Editorial
  3. Thermodynamic costs of temperature stabilization in logically irreversible computation
  4. Hydrodynamic, electronic and optic analogies with heat transport in extended thermodynamics
  5. Variations on the models of Carnot irreversible thermomechanical engine
  6. Revisit nonequilibrium thermodynamics based on thermomass theory and its applications in nanosystems
  7. On the dynamic thermal conductivity and diffusivity observed in heat pulse experiments
  8. On the influence of the fourth order orientation tensor on the dynamics of the second order one
  9. Lack-of-fit reduction in non-equilibrium thermodynamics applied to the Kac–Zwanzig model
  10. Optimized quantum drift diffusion model for a resonant tunneling diode
  11. The wall effect in a plane counterflow channel
  12. Buoyancy driven convection with a Cattaneo flux model
  13. Thermodynamics of micro- and nano-scale flow and heat transfer: a mini-review
  14. Poroacoustic front propagation under the linearized Eringen–Cattaneo–Christov–Straughan model
https://doi.org/10.1515/jnet-2023-0078
Schlagwörter für diesen Artikel
thermal convection; Cattaneo flux; instability; nonlinear stability

Artikel in diesem Heft

  1. Frontmatter
  2. Editorial
  3. Thermodynamic costs of temperature stabilization in logically irreversible computation
  4. Hydrodynamic, electronic and optic analogies with heat transport in extended thermodynamics
  5. Variations on the models of Carnot irreversible thermomechanical engine
  6. Revisit nonequilibrium thermodynamics based on thermomass theory and its applications in nanosystems
  7. On the dynamic thermal conductivity and diffusivity observed in heat pulse experiments
  8. On the influence of the fourth order orientation tensor on the dynamics of the second order one
  9. Lack-of-fit reduction in non-equilibrium thermodynamics applied to the Kac–Zwanzig model
  10. Optimized quantum drift diffusion model for a resonant tunneling diode
  11. The wall effect in a plane counterflow channel
  12. Buoyancy driven convection with a Cattaneo flux model
  13. Thermodynamics of micro- and nano-scale flow and heat transfer: a mini-review
  14. Poroacoustic front propagation under the linearized Eringen–Cattaneo–Christov–Straughan model
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