Abstract

The linear stability theory is used to obtain the stability criteria of a thin liquid film flowing down a heated or cooled wall. A critical Reynolds number exists above which the film flow is unstable. The surface tension variation caused by the temperature fluntuation is shown to stabilize condensate films but to destabilize liquid films on a heated wall. While evaporation destabilizes the flow, condensation stabilizes it. The time required to develop thin spots in a film is given in terms of relevant physical variables. There exists a critical value of ΔT, the temperature drop across the film, beyond which the above mentioned time decreases as (ΔT) −4 if (T s − T m)/ ΔT ⪡ 1, where T s and T m are respectively the free surface temperature and the ambient gas temperature. On the other hand, if (T s − T m)/ ΔT ⪢ 1, the above mentioned time decreases as (ΔT) −6 but increases as the second power of T s − T m.

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