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L'instabilité thermique des fluides viscoélastiques dans des couches horizontales poreuses comme problème de valeur initiale.

Thermal instability of viscoelastic fluids in horizontal porous layers as initial value problem.

Auteurs : BERTOLA V., CAFARO E.

Type d'article : Article

Résumé

The instability of a viscoelastic fluid saturating a horizontal porous layer heated from below is studied theoretically with a dynamical system approach. The viscoelastic character of the flow is taken into account by a modified Darcy's law. The conservation equations of mass, momentum and energy are approximated by a reduced-order system of non-linear, ordinary differential equations, which is similar to the well-known system derived by Lorenz to describe atmospheric convection. Equilibrium points and their stability are expressed as functions of a dimensionless heat capacity and of two relaxation parameters. Qualitative expressions of the Nusselt number when the system is out of equilibrium are also derived. [Reprinted with permission from Elsevier. Copyright, 2006].

Détails

  • Titre original : Thermal instability of viscoelastic fluids in horizontal porous layers as initial value problem.
  • Identifiant de la fiche : 2007-1005
  • Langues : Anglais
  • Source : International Journal of Heat and Mass Transfer - vol. 49 - n. 21-22
  • Date d'édition : 10/2006

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