Numerical modelling of the liquid crystallization processes on the curvilinear surface in the flow of the air-droplet environment

Abstract

Statement of the problem. A methodology and software-methodical support that allow modelling the processes of water crystallization on curvilinear surfaces in a three-dimensional setting have been developed. To describe the air-droplet flow, an approach, based on solving the Reynolds averaged Navier − Stokes equations using the Baldwin−Lomax algebraic turbulence model is proposed. In this model the motion of supercooled water droplets is described using a model of interpenetrating media. Numerical simulation of the process of ice crystals growth is performed using the method of surface control volumes, based on the mass, energy conservation and momentum equations. The calculations results are presented on the example of ONERA M6 wing icing. Conclusions. Considering the process of crystallization of a precipitation liquid from an air-droplet flow on a swept wing, a curvature of the streamlines near the leading edge occurs, which affects the character of the movement of the unfrozen liquid along the streamlined surface. With decreasing the length of the chord of the cross section of the wing, the volume of the unfrozen liquid, moving along the wing, which also also significantly influences the shape of the simulated ice build-up, is increasing. The proposed methodology can have wider application in various fields of knowledge, for example, wind power engineering, engineering, in materials science, including modelling the processes of sputtering metal melts on the surface of metal products, while studying the process of pipe aluminizing.