Models of processes accompanying crystallization of supercooled droplets
Ivan Alekseevich AMELYUSHKIN,
Maksim Aleksandrovich KUDROV,
Alexey Olegovich MOROZOV,
Albert Leonidovich STASENKO,
Andrey Sergeevich SHCHEGLOV https://doi.org/10.15514/ISPRAS-2020-32(4)-17
Abstract
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.
Keywords
metastable droplets,
molecular modeling,
crystallization front,
energy flow at the interface boundary
Supporting agencies: The work is supported by Russian Foundation of Fundamental Research (project No 19-29-13016)
About the Authors
Ivan Alekseevich AMELYUSHKIN
Central Aerohydrodynamic Institute,
Lomonosov Moscow State University
Russian Federation
Russian Federation
Candidate of Physical and Mathematical Sciences, Senior Researcher at TsAGI, Lecturer at the Department of Molecular Processes and Extreme States of Matter at the Physics Faculty of Moscow State University
Maksim Aleksandrovich KUDROV
Moscow Institute of Physics and Technology
Russian Federation
Candidate of Technical Sciences, Associate Professor, Leading Researcher, Head of the Laboratory of Information Technologies and Applied Mathematics
Russian Federation
Candidate of Technical Sciences, Associate Professor, Leading Researcher, Head of the Laboratory of Information Technologies and Applied Mathematics
Alexey Olegovich MOROZOV
Moscow Institute of Physics and Technology
Russian Federation
Junior Researcher
Russian Federation
Junior Researcher
Albert Leonidovich STASENKO
Central Aerohydrodynamic Institute,
Moscow Institute of Physics and Technology
Russian Federation
Doctor of Technical Sciences, Professor of the Moscow Institute of Physics and Technology, Chief Researcher at TsAGI
Russian Federation
Doctor of Technical Sciences, Professor of the Moscow Institute of Physics and Technology, Chief Researcher at TsAGI
Andrey Sergeevich SHCHEGLOV
Central Aerohydrodynamic Institute,
Moscow Institute of Physics and Technology
Russian Federation
Russian Federation
engineer at TsAGI, post-graduate student at MIPT
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Review
For citations:
AMELYUSHKIN I.A., KUDROV M.A., MOROZOV A.O., STASENKO A.L., SHCHEGLOV A.S. Models of processes accompanying crystallization of supercooled droplets. Proceedings of the Institute for System Programming of the RAS (Proceedings of ISP RAS). 2020;32(4):235-244. (In Russ.) https://doi.org/10.15514/ISPRAS-2020-32(4)-17
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