“…It has found wide applications in many fields, such as spray printing (Lohse, 2022), surface coating (Kang and Ng, 2006), spray cooling (Cheng et al, 2016), material cutting (Sharma et al, 2011), and fluid machines with droplets (Day et al, 2008). Droplet impacts may also cause many problems, such as soil erosion (Planchon and Mouche, 2010;Soto et al, 2014;Nouhou Bako et al, 2016), blade erosion (Keegan et al, 2013;Amirzadeh et al, 2017a,b), and noises from raindrops (Schmid et al, 2021). Studies have indicated that the impact force of droplets on walls is a key factor causing erosion (Lopatnikov and Gillespie Jr, 2014;Cheng et al, 2022).…”