Self-Propulsion of Droplets by Spatially-Varying Roughness
Zhenwei Yao, Mark J. Bowick

TL;DR
This paper demonstrates that spatially varying roughness on a substrate can induce spontaneous droplet propulsion, with droplets moving toward regions of maximal or minimal roughness depending on their inherent wetting properties, enabling advanced control of droplet motion.
Contribution
It introduces the concept that inhomogeneous roughness patterns can drive droplet motion, expanding the understanding of wetting and propulsion mechanisms on textured surfaces.
Findings
Droplets move toward maximal roughness in hydrophilic systems.
Droplets move toward minimal roughness in hydrophobic systems.
Patterned roughness can be combined with chemical patterning for complex droplet control.
Abstract
Under partial wetting conditions, making a substrate uniformly rougher enhances the wetting characteristics of the corresponding smooth substrate {--} hydrophilic systems become even more hydrophilic and hydrophobic systems even more hydrophobic. Here we show that spatial texturing of the roughness may lead to spontaneous propulsion of droplets. Individual droplets are driven toward regions of maximal roughness for intrinsically hydrophilic systems and toward regions of minimal roughness for intrinsically hydrophobic systems. Spatial texturing can be achieved by wrinkling the substrate with sinusoidal grooves whose wavelength varies in one direction (inhomogeneous wrinkling) or lithographically etching a radial pattern of fractal (Koch curve) grooves on the substrate. Richer energy landscapes for droplet trajectories can be designed by combining roughness texturing with chemical or…
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