Diffusion-limited evaporation of thin polar liquid films

Journal of Engineering Mathematics - Tập 50 - Trang 209-222 - 2004
Eric Sultan1, Arezki Boudaoud1, Martine Ben Amar1
1Laboratoire de Physique Statistique de l' Ecole Normale Supérieure, Paris Cedex 05, France

Tóm tắt

The stability of evaporating very thin films of a polar liquid is investigated. The microscopic interaction with the substrate and capillarity are taken into account in a lubrication equation. The stability of a flat interface is studied when evaporation is limited by the diffusion of the vapour in the gas phase. The evaporation rate is computed and evaporation is shown to be stabilizing. A stability phase diagram is obtained. A weakly nonlinear analysis leads to a film-thickness amplitude equation that is non local in space. Physical consequences of the results are eventually discussed.

Tài liệu tham khảo

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