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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.

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