An improved icing model is proposed that makes it possible to calculate the process of ice formation on objects of various shapes under conditions of cyclic heating of the surface of an aircraft element. The model describes the conjugated problem of unsteady heat exchange between the surface of an aircraft equipped with an electric heating element and an ice build-up formed on its surface by the impact of an atmospheric cloud of liquid supercooled droplets. The ice build-up is considered as a three-layer structure consisting of a water layer on the surface of the aircraft skin, the ice layer itself and a water film on its surface. The model was validated using experimental data (temperatures of an electrically heated wing model under icing conditions). The possibility of describing the transient processes occurring during the formation and mutual transformation of various combinations of phase states of ice build-up elements during cyclic heating is demonstrated. The results of calculating the thicknesses of water films and temperature fields at the ice boundary with the surface of the aircraft can be used to calculate the magnitude of the forces holding the ice on the surface and to predict its removal without complete melting.
Goryachev et al. (Wed,) studied this question.