“…During the four stages of liquid droplet freezing, the precooling and cooling stages can be estimated by solving the internal heat equation. The physical properties of water and ice were considered: density, ρ * l = 1000 kg m –3 , ρ * s = 917 kg m –3 ; capacity, C v* l = 4.2e6 J K –1 m –3 , C v* s = 1.9e6 J K –1 m –3 ; and thermal conductivity, λ * l = 0.55 J m –1 K –1 s –1 , λ * s = 2.26 J m –1 K –1 s –1 (l for liquid, s for solid, * for reality coefficient; parameters without * are in DPD units) . The changes in these properties with changing temperatures were simplified and held constant.…”