Distribution of the parameters of the air-droplet mixture along the curved surface taking into account the phase transitions
DOI:
https://doi.org/10.30838/J.PMHTM.2413.240418.17.262Keywords:
mathematical modeling, air-droplet flow, moisture sedimentation on a streamlined surface, icing of curved surfaces, ice buildup, water-air cooling, rail parts, switch tongueAbstract
Formulation of the problem. The problem of finding of air-droplet flow parameters along the curved surfaces is considered. The methodology and software has been developed, which allows to model the multiphase flows. A model of interpenetrating media based on solving the Navier − Stokes equations and taking into account the interaction of the carrier gas and liquid drops was used to describe the external air-droplet flow, as well as the processes of moisture sedimentation on the streamlined surface. Numerical simulation of the fluid distribution process, taking into account phase transitions, along the streamlined surface was performed using the method of surface control volumes, based on the equations of continuity, conservation of momentum and energy. The method of determining convective heat transfer based on solving the Navier − Stokes equations and the Spalart − Allmaras turbulence model with correction for a rough wall was used and compared with the known results obtained in the two-dimensional approximation using integral relations. The results of studies are presented on the example of the problem of aerodynamic surfaces icing in a stream containing supercooled water droplets. The distributions of the flow parameters along the streamlined surface, as well as the basic quantities included in the equations of mass and heat balances are given. Conclusions. The developed method gives a good qualitative and quantitative agreement of the results with the known, obtained using semi-empirical one-dimensional relationships, and, at the same time, can be used to solve problems in a three-dimensional formulation. The results of the work can be used to solve a wide range of applied tasks, for example, when modeling water-air cooling processes of thin switch tongues that undergo hardening heat treatment using high-frequency heating, hardening heat treatment, spraying melts on metal surfaces, the process of pipe aluminizing.
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