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.
Buoyancy driven convection with a Cattaneo flux model
Straughan B.;Tibullo V.
;Passarella F.
2023-01-01
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.File in questo prodotto:
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