Numerical and analytic investigation of the dynamics of hollow droplet impact onto substrate
A.N. Cherepanov1, O.P. Solonenko2, V.V. Bublik3
1 Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia
2 Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia
3 Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia, ancher@itam.nsc.ru
Keywords: hollow metal droplet, substrate, impact, mathematical model
Pages: 677-688
Abstract
A numerical and analytical model is proposed for the impact of a hollow melt droplet onto the surface of a solid polished substrate. The model is based on integral laws of the mass and energy conservation of the colliding droplet, it accounts for capillary and adhesion properties of the melt. The main parameters of the high-velocity deformation of a hollow particle have been computed: the variation of its height, shell thickness, and the contact spot diameter up to the moment of the spreading droplet solidification as well as the pressure variation inside the droplet until the moment of the shell rupture. The critical pressure value at which the rupture occurs is estimated by a formula characterizing the spherical shell strength. Quite a fair agreement of the computed values of the final diameter of the splat of a spread and solidified droplet with the data of physical experiment is shown.
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