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On competition between modes at the onset of Bénard-Marangoni convection in a layer of fluid. (English) Zbl 1003.76026
Summary: We use classical linear stability theory to analyse the onset of steady and oscillatory Bénard-Marangoni convection in a horizontal layer of fluid in the more physically-relevant case when both the nondimensional Rayleigh and Marangoni numbers are linearly dependent. We present examples of situations in which there is a competition between modes at the onset of convection when the layer is heated from below.

76E06 Convection in hydrodynamic stability
76D45 Capillarity (surface tension) for incompressible viscous fluids
80A20 Heat and mass transfer, heat flow (MSC2010)