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Article Dans Une Revue Thermal Science Année : 2014

Numerical study of natural convection in a square cavity under non-Boussinesq conditions

S. Hamimid
  • Fonction : Auteur
M. Guellal
  • Fonction : Auteur

Résumé

Natural convection in a differentially heated cavity has been carried out under large temperature gradient. The study has been performed by direct simulations using a two-dimensional finite volume numerical code solving the time-dependent Navier-Stokes equations under the low Mach number approximation. The low Mach number model constitutes an important numerical problem for low speed flows. It is based on the filtering of acoustic waves from the complete Navier-Stokes equations. Various simulations were conducted including constant or variable transport coefficients and both small and large temperature differences. A com-parison between an incompressible code based on the Boussinesq approximation and the low Mach number compressible code shows that the incompressible model is not sufficient to simulate natural convective flow for large temperature differences.

Dates et versions

hal-02398149 , version 1 (06-12-2019)

Identifiants

Citer

S. Hamimid, M. Guellal, M. Bouafia. Numerical study of natural convection in a square cavity under non-Boussinesq conditions. Thermal Science, 2014, ⟨10.2298/TSCI130810084H⟩. ⟨hal-02398149⟩

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