Vapor Flux on Bumpy Surfaces: Condensation and Transpiration on Leaves

Drop condensation and evaporation as a result of the gradient in vapor concentration are important both engineering natural systems. One interesting examples is transpiration on plant leaves. Most water inner space leaves escapes through stomata, whose rate depends surface topography difference concentrations inside just outside Previous research flux various surfaces has focused numerically solving diffusion equation or using scaling arguments based simple solution with flat surface. In this present work, we discuss analytical solutions 2D shapes (e.g., semicylinder, semiellipse, hair). The method to use complex potential theory, which provides for flux. We find that high mass formed near top microstructures while low developed stomata at leaf Such may affect two ways. First, condensed droplets will not grow due vapor, inhibit gas exchange stomatal opening. Second, from atmosphere facilitate release highly concentrated substomatal space.