Models of processes accompanying crystallization of supercooled droplets

The creation of high-performance methods for calculating the interaction of aerosol flows with a solid is of great practical interest in the problems of preventing surfaces from icing, predicting climatic phenomena, metallurgy and astronomical processes. One of the methods of icing diminishing is the use of hydrophobic coatings, which, as a rule, work effectively with insignificant ratios of inertial forces to the forces of surface tension of a liquid near the relief of the streamlined body. However, when the surface density of the kinetic energy of the supercooled drop exceeds a certain critical value, the ice-phobic properties lead to negative effects due to the penetration of the supercooled liquid into the depressions and solidification in them. A method is developed for calculating the interaction of supercooled drops with a relief solids, which have various degrees of hydrophobicity. Basic criteria for corresponding the results of molecular modeling to physical reality are formulated. The need to develop algorithms for numerical simulation is due to the fact that significant computational resources are required even for calculating small droplets which are several tens of nanometers in size. Numerical estimates of the parameters of the relief of a hydrophobic surface of a solid are obtained depending on the dimensionless dynamic parameters of the impact of supercooled drops. Moving interface – the crystallization front in supercooled metastable liquid droplets has specific properties. On the basis of previously carried out experimental studies, theoretical estimates, analytical and experimental data of other researchers, in present work mathematical models of the crystallization features of a supercooled metastable liquid are developed. Estimates of the parameters of the processes accompanying the movement of the crystallization front in supercooled metastable water droplets are obtained with application to the problem of icing of aircraft.