A nonlinear evolution equation for Bénard-Marangoni convection with deformable boundary

Abstract For the case of small Biot number, i.e. small heat transfer, a nonlinear evolution equation is derived for the deformable upper surface in a liquid layer heated from below and open to the ambient air (Benard-Marangoni convection). As a byproduct of our analysis, threshold values and other relevant findings are obtained for the onset of convection.

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