The interaction between water droplets and superhydrophobic holes: Detachment and penetration

Water droplets of varying volumes exhibit distinct behaviors at the tip of a needle under the influence of gravitational force: larger droplets fall from the needle tip, while smaller droplets adhere to the needle tip. By integrating a superhydrophobic hole, which allows the needle to pass through but hinders droplets' passage, a method to allow smaller droplets to fall from the needle was evaluated. The interaction between water droplets and a superhydrophobic hole was studied experimentally, and two phenomena were observed: either the droplet detached from the needle tip or the needle pulled it through the superhydrophobic hole. A critical detachment volume V-cri (d(0),D), dependent on the needle diameter d0 and the superhydrophobic hole diameter D, determines droplet behavior. When the volume of the droplet V-droplet>V-cri(d(0),D), the droplet detaches from the needle tip. When the V-droplet <V-cri (d(0);D), the droplet penetrates through the superhydrophobic hole. The results show that the critical detachment volume V-cri (d(0);D) increases with an increase ind0for a given superhydrophobic hole and with an increase in D for a given needle. To enable a 0.25ll droplet to fall from a 32G needle, a superhydrophobic hole of 0.48 mm diameter was employed. Furthermore, a mechanical model based on force equilibrium was developed to describe the interaction between water droplets and a superhydrophobic hole.