Convection laws for glass furnaces revisited
Résumé
We introduce a simple geometry to study natural convection in a two-dimensional box, closer to that of glass furnaces than the usual differentially heated box. We show that, in both cases, temperature and velocity fields scale with the Rayleigh number (or the Grashof number) based on the height of the box. The model we suggest has qualitative features similar to those observed in direct numerical simulations of glass furnaces.