“…For a droplet with low viscosity, the impact velocity and the cylinder size, represented by the Weber numbers ( We = 2ρ R 0 u 0 2 /σ, with u 0 referring to the initial velocity of the droplet) and the size ratio of the cylinder to the droplet ( R * = R cy / R 0 , where R cy refers to the cylinder radius), respectively, are two key factors affecting the dynamic behaviors of the droplet. For example, as We increases or R * decreases, the uneven distribution of the momentum becomes more pronounced, leading to a continuous reduction in contact time. ,, This feature is distinct from the constant value observed on smooth horizontal surfaces (τ c ≈ 2.6), or the discrete forms on flat substrates patterned with single-ridge (exhibiting a reduction rate of 25 and 50%) − or submillimeter-scale posts (showing a reduction rate up to 80%) . In an extreme case where a much higher We is applied or R * is much smaller, the droplet will directly break into smaller fragments, splash from the cylinder, or pass through the cylinder and fall off the surface, undergoing almost no retraction process. , When disregarding the aforementioned particular situations, considerable efforts have been made to correlate the contact time with the given conditions.…”