Abstract

The convective stability of two-dimensional thermocapillary flow in a half zone is considered. The most dangerous three-dimensional modes of a linear analysis are subjected to an a posteriori energy analysis. This enables to identify the physical processes that are most effective in transfering energy from the basic state to the disturbance. It is found that the steady bifurcation at low Prandtl numbers is due to shear induced by the surface forcing, while the Hopf bifurcation at large Prandtl numbers is indentical with the hydrothermal wave instability for plane thermocapillary liquid layers.

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