Abstract
The Bubnov-Galerkin method was applied to the problem of onset of convection in a horizontally infinite liquid layer set between two blocks with different thermal conductivities and thicknesses. The critical Rayleigh number ( Ra c) and wavenumber ( k c ) were determined for a range of conductivities and thicknesses. Computations, based on the finite element method, for the steady conductive regime (motionless liquid) suggest that lateral walls, with different thermal admittances appropriate to a finite vessel, have no appreciable effect on Ra c and k c when the aspect ratio is larger than two. Values calculated from the theoretical model are in reasonable agreement with experimental results.
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