Abstract
The stability of a two-phase flow in a heated inclined channel is studied. The temperature of the bottom plate is below the vaporization temperature and the top plate above the vaporization temperature. A water film is on the cold wall and a vapor film on the hot wall. Gravity is the driving force. A basic flow with steady distribution of temperature but no phase change is found. The linear stability of this basic state is studied in the frame of incompressible fluid dynamics, without convection, but allowing for phase change at the interface. An ambiguity in the choice of the conditions to be required of the temperature at the phase change boundary is discussed. Three different instabilities are found, one due to the Reynolds stress when Reynolds number is large, one due to interfacial friction is associated with the viscosity difference of the two phases, and another due to phase changes at the interface.
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