Mathematical modeling of the spraying process of working solution droplets on controlled spray nozzl
Received: 2026-10-31
Published: 2026-10-31
Abstract
In the article, the size of a droplet during garden cultivation determines its initial velocity,
the movement of droplets and their trajectory, the rate of ejection, precipitation, evaporation, and
flight under the influence of wind, leaf surface moisture, and solution retention in the leaf. the
movement of working solution droplets in a sprayer controlled by airflow, equipped with centrifugal
spray nozzles, is mathematically modeled. The velocity field of the air flow is represented by a
semi-empirical solution based on Prandtl’s theory of turbulence, while the movement of droplets is
represented by a system of kinematic equations accounting for the Stokes resistance coefficient. The
equations are numerically integrated using the Euler correction method (second-order accuracy).