Test for adequacy of model of particle spreading over the substrate during plasma spraying of thermal barrier coatings

A mathematical description of the process of spreading and simultaneous solidification of the liquid particles, when it collides with the solid surface of the substrate is presented and approximate numerical methods for the calculation are constructed in the article. These algorithms are a continuation of numerical studies on the development of approximate methods of calculation, which examined simplified models for individual variables, such as temperature in the particle, in the substrate, in the contact area, for finding the velocity field for determining the shape of the spreaded particle. The developed model allows carrying out numerical experiments to study the collision process of an individual drop with the spatial surface and its' spreading, as well as the formation of the structure of plasma coatings. The results show that the numerical methods are quite effective in the study of nonlinear problems. On the basis of experimental studies of processes of interaction of the particles with the substrate and spreading on it the adequacy of the developed theoretical dependencies is shown.