Modelling the flow and solidification of a thin liquid film on a three-dimensional surface

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Modelling the flow and solidification of a thin liquid film on a three-dimensional surface

Myers, T.G. / Charpin, J.P.F. / Chapman, S.J.

A mathematical model for the flow and solidification of a thin liquid film is briefly described. Typical results for ice accretion due to incoming rain droplets on a flat surface and aerofoil are shown. This work is a summary of the models developed in a series of papers by Myers et al. The series of papers by Myers et al. build up to describing a novel model for the flow and solidification of a thin liquid film. The model is valid within the limits of lubrication theory and small Peclet number. It may be used to describe solidification on an arbitrary 3D surface and hence is appropriate for most practical configurations. A testimony to the model is that it is currently employed in a commercial aircraft icing code, ICECREMO. Future extensions include modelling flow over a rough surface and the inclusion of heating from below the substrate which will permit modelling of anti-icing systems.