Multifaceted design optimisation for superomniphobic surfaces

Superomniphobic textures are at the frontier of surface design for vast arrays of applications. Despite recent significant advances in fabrication methods for reentrant and doubly reentrant microstructures, design optimisation remains a major challenge. We overcome this in two stages. Firstly, we develop readily-generalisable computational methods to systematically survey three key wetting properties: contact angle hysteresis, critical pressure, and minimum energy wetting barrier. For each, we uncover multiple competing mechanisms, leading to the development of new quantitative models, and correction of inaccurate assumptions in prevailing models. Secondly, we combine these analyses simultaneously, demonstrating the power of this strategy by optimizing structures that are well-suited to overcome challenges faced by two emerging applications: membrane distillation and digital microfluidics. As the wetting properties are antagonistically coupled, this multifaceted approach is essential for optimal design. When large surveys are impractical, we show that genetic algorithms enable efficient optimisation, offering speedups of up to 10,000x.