Convection in binary mixtures: A Galerkin model with impermeable boundary conditions

Abstract

We derive an eight-mode model with horizontal boundaries that are impermeable to the concentration current and free slip for the velocity. Its properties are elucidated and compared with theoretical results obtained for other boundaries. Impermeable boundaries cause an additional coupling between temperature and concentration gradients which significantly changes linear and nonlinear properties as compared to those of permeable boundaries.