CONVECTIVE INSTABILITY OF A HORIZONTAL LAYER OF FLUID WITH MAINTAINED CONCENTRATION OF DIFFUSIVE SUBSTANCE AND TEMPERATURE AT THE BOUNDARIES.
CALIFORNIA UNIV BERKELEY INST OF ENGINEERING RESEARCH
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The critical conditions for convective instability of a horizontal layer of fluid which has constant gradients of temperature and concentration of a diffusive substance are derived. The parameter determining the stability is a sum of two Rayleigh numbers, one based on the quantities determining the molecular heat transfer across the layer and the second based on those quantities determining the molecular transfer of the diffusive substance. For liquids, a strong stabilizing or destabilizing action of the diffusion results, depending on the sign of the gradient of the concentration of salts. When the gradient of salt concentration stabilizes, overstable oscillations are here found to provide the mechanism of the stabilization. Author