Rothmayer, A. and Hu, H., "A Low-Order Model of the Interaction between Air-Driven Water Films and Sub-Grid Surface Roughness," SAE Technical Paper 2015-01-2078, 2015, doi:10.4271/2015-01-2078.
A strong air/water interaction theory is used to develop a fast simplified model for the trapping of water in a film that flows over sub-grid surface roughness. The sub-grid model is used to compute correction factors that can alter mass transport within the film. The sub-grid model is integrated into a covariant film mass transport model of film flow past three-dimensional surfaces in a form that is suitable for use in aircraft icing codes. Sample calculations are presented to illustrate the application of the model.