Mathematical modeling of the spraying process of working solution droplets on controlled spray nozzl

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, andflight under the influence of wind, leaf surface moisture, and solution retention in the leaf. themovement of working solution droplets in a sprayer controlled by airflow, equipped with centrifugalspray nozzles, is mathematically modeled. The velocity field of the air flow is represented by asemi-empirical solution based on Prandtl’s theory of turbulence, while the movement of droplets isrepresented by a system of kinematic equations accounting for the Stokes resistance coefficient. Theequations are numerically integrated using the Euler correction method (second-order accuracy).

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Publication Details

Journal
Agroengineering Solutions
Published
2026-10-31
DOI
https://doi.org/10.35938/ay-2026-4-00001
Primary Topic
Agricultural Engineering and Mechanization
Type
article
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article

Mathematical modeling of the spraying process of working solution droplets on controlled spray nozzl

Shokir Sharipov
Agroengineering Solutions
Agricultural Engineering and Mechanization
article

Mathematical modeling of the spraying process of working solution droplets on controlled spray nozzl

Shokir Sharipov
article en

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, andflight under the influence of wind, leaf surface moisture, and solution retention in the leaf. themovement of working solution droplets in a sprayer controlled by airflow, equipped with centrifugalspray nozzles, is mathematically modeled. The velocity field of the air flow is represented by asemi-empirical solution based on Prandtl’s theory of turbulence, while the movement of droplets isrepresented by a system of kinematic equations accounting for the Stokes resistance coefficient. Theequations are numerically integrated using the Euler correction method (second-order accuracy).

Agroengineering SolutionsVol. 4(16)
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers (UZ)
Openalex Percentile: Top 23%
Agricultural Engineering and Mechanization
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