Droplet evaporation on inclined substrates

Drying of droplets on inclined surfaces is relevant to applications such as ink-jet printing, spray coating, and crime-scene reconstruction. We develop a lubrication-theory based model to investigate the effect of substrate inclination on the evaporation of pure-solvent and particle-laden droplets on smooth and rough inclined substrates. We find that the effect of inclination on evaporation mainly depends on substrate roughness and the Bond number. Our predictions qualitatively agree with previous experimental work and our model can be easily extended to more complex situations such as multiple droplets evaporating on inclined substrates.