| Titre : |
Stability of double-diffusive convection in a rectangular cavity with constant heat and mass fluxes along the vertical side-walls |
| Type de document : |
texte imprimé |
| Auteurs : |
K. Ghorayeb, Auteur ; A. Mojtabi, Auteur |
| Importance : |
p 67-74 |
| Langues : |
Anglais (eng) |
| Catégories : |
MATHEMATIQUE-PHYSIQUE-CHIMIE
|
| Résumé : |
This paper is devoted to the onset of double-diffusive in a vertical rectangular cavity. The horizontal side-walls are impermeable and adiabatic while the vertical ones are subjected to constant heat and mass fluxes. In this study, we assume that the ratio N of solutal to thermal Grashof numbers is equal to -1. We perform , by the means of the Galerkin method, the linear stability analysis of the purely diffusive solution. The onset of convection is also numerically studied using a spectral method. It is found that, in a square bounded cavity, the purely diffusive solution becomes unstable for Rat/Le-1/=19726 for constant fluxes boundary conditions (Newman boundary conditions) while it is shown to be Rat/Le-1/=17174 for Dirichlet vertical boundary conditions. Direct numerical simulations confirm the over-mentioned results and point out the existence of a subscribal regime for a Rayleigh number which is six times smaller than the critical Rayleigh number |
| Numéro du document : |
A 7482/PHY |
| Niveau Bibliographique : |
2 |
| Bull1 (Theme principale) : |
PHYSIQUE |
| Bull2 (Theme secondaire) : |
THERMIQUE |
Stability of double-diffusive convection in a rectangular cavity with constant heat and mass fluxes along the vertical side-walls [texte imprimé] / K. Ghorayeb, Auteur ; A. Mojtabi, Auteur . - [s.d.] . - p 67-74. Langues : Anglais ( eng)
| Catégories : |
MATHEMATIQUE-PHYSIQUE-CHIMIE
|
| Résumé : |
This paper is devoted to the onset of double-diffusive in a vertical rectangular cavity. The horizontal side-walls are impermeable and adiabatic while the vertical ones are subjected to constant heat and mass fluxes. In this study, we assume that the ratio N of solutal to thermal Grashof numbers is equal to -1. We perform , by the means of the Galerkin method, the linear stability analysis of the purely diffusive solution. The onset of convection is also numerically studied using a spectral method. It is found that, in a square bounded cavity, the purely diffusive solution becomes unstable for Rat/Le-1/=19726 for constant fluxes boundary conditions (Newman boundary conditions) while it is shown to be Rat/Le-1/=17174 for Dirichlet vertical boundary conditions. Direct numerical simulations confirm the over-mentioned results and point out the existence of a subscribal regime for a Rayleigh number which is six times smaller than the critical Rayleigh number |
| Numéro du document : |
A 7482/PHY |
| Niveau Bibliographique : |
2 |
| Bull1 (Theme principale) : |
PHYSIQUE |
| Bull2 (Theme secondaire) : |
THERMIQUE |
|  |
Stability of double-diffusive convection in a rectangular cavity with constant heat and mass fluxes along the vertical side-walls
