A simple diffusion model of the effect of droplet size and spread area on foliar uptake of hydrophilic compounds

The uptake of a hydrophilic active ingredient through the leaves of plants is mathematically modelled as a simple diffusion process. A three layer model is considered consisting of the droplet, the cuticle and the subcuticle. Translocation of the active ingredient from the subcuticle is allowed for as is depletion of the active ingredient from the droplet. Both the effect of the size of the droplets on the leaf surface and surfactant enhanced spreading of the droplet is examined. It is found that decreasing the size of the droplet leads to an increase in the percentage uptake of the active ingredient. Increasing the spread area of the droplet is found to increase the percentage uptake with the effect greatest in larger droplets.