English

Grooves spacing govern water retention during condensation

Fluid Dynamics 2025-09-17 v1

Abstract

Condensation on vertical surfaces leads to fluid retention, which limits the efficiency of applications ranging from heat exchangers to atmospheric water harvesters. A common strategy is to structure the surface with grooves, yet whether grooves help drainage or worsen retention remains unclear. Here we use a high-throughput condensation setup to quantify retention on substrates patterned with parallel vertical grooves of fixed geometry (d/w=1d/w=1) while varying the spacing ss. We uncover two opposite regimes separated by the droplet detachment radius RdR_d. For large spacings (s>Rds>R_d), droplets grow and slide under gravity while grooves, acting as passive reservoirs, increase retention. For small spacings (s<Rds<R_d), grooves instead trigger active drainage, confining droplet growth and reducing retention to values even lower than on smooth surfaces. Two asymptotic models, a groove-volume reservoir model and a plateau-packing model, capture this transition and explain the scaling of retention with ss. These findings show that groove spacing controls whether grooves act as drains or reservoirs, providing a simple geometric design rule for tailoring condensation retention in practical systems.

Keywords

Cite

@article{arxiv.2509.12736,
  title  = {Grooves spacing govern water retention during condensation},
  author = {Matteo Leonard and Nicolas Vandewalle},
  journal= {arXiv preprint arXiv:2509.12736},
  year   = {2025}
}