Mathematical Method for Droplet Size Distribution of Agricultural Nozzles
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One of the technical factors from agricultural nozzles and overall plant protection is droplet diameter, which exclusively depends on working pressure, ISO number and nozzle type. Therefore, this paper was aimed to describe mathematical model for droplet size distribution. Through field exploitation experiment, data was used from three ISO numbers of nozzles (hollow cone 80 015; 02 and 03), two air-assisted sprayers (axial and radial fan) and two permanent crops (vineyard and an apple orchard). Water sensitive papers were used for evaluation of droplet diameters, and digital image analysis with Image J software was used for data processing. Mathematical model through homogenous diffusion equation and simplified differential equation shows that droplet size distribution had exponential function of modelling. Theoretical mathematical model was confirmed in experimental results, where coefficient of determination of exponential regression model for 80 015 nozzles was 0.93 with 5.15 of RMS...E. The same coefficient for 80 02 nozzles was 0.96 with 2.88 of RMSE and for 80 03 nozzle R2 was 0.93 with 3.25 of RMSE. In addition, it is proved that droplet diameter depends on operating pressure with very high negative correlation (80 03 nozzles: r = −0.98; 80 02 nozzles: r = −0.97; 80 015 nozzles: r = −0.95). This data will help future researchers in their papers to facilitate and describe similar models for plat protection processes, and all agricultural producers to determine optimal operating pressure which is immensely important in economic, biologic, technical and ecologic aspect.
Keywords:
Agricultural nozzles / Diffusion equations, droplet size distribution / Partial differential equation / Plant protectionSource:
Tehnicki Vjesnik, 2021, 28, 5, 1749-1754Publisher:
- Strojarski Facultet
Funding / projects:
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200116 (University of Belgrade, Faculty of Agriculture) (RS-MESTD-inst-2020-200116)
- The Improvement and Preservation of Biotechnology Procedures for Rational Energy Use and Improvement of Agricultural Production Quality (RS-MESTD-Technological Development (TD or TR)-31051)
DOI: 10.17559/TV-20200428144856
ISSN: 1846-6168
WoS: 000686136200011
Scopus: 2-s2.0-85113370813
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Poljoprivredni fakultetTY - JOUR AU - Tomantschger, Kurt AU - Petrović, Dragan V. AU - Radojević, Rade L. AU - Tadić, Vjekoslav PY - 2021 UR - http://aspace.agrif.bg.ac.rs/handle/123456789/5927 AB - One of the technical factors from agricultural nozzles and overall plant protection is droplet diameter, which exclusively depends on working pressure, ISO number and nozzle type. Therefore, this paper was aimed to describe mathematical model for droplet size distribution. Through field exploitation experiment, data was used from three ISO numbers of nozzles (hollow cone 80 015; 02 and 03), two air-assisted sprayers (axial and radial fan) and two permanent crops (vineyard and an apple orchard). Water sensitive papers were used for evaluation of droplet diameters, and digital image analysis with Image J software was used for data processing. Mathematical model through homogenous diffusion equation and simplified differential equation shows that droplet size distribution had exponential function of modelling. Theoretical mathematical model was confirmed in experimental results, where coefficient of determination of exponential regression model for 80 015 nozzles was 0.93 with 5.15 of RMSE. The same coefficient for 80 02 nozzles was 0.96 with 2.88 of RMSE and for 80 03 nozzle R2 was 0.93 with 3.25 of RMSE. In addition, it is proved that droplet diameter depends on operating pressure with very high negative correlation (80 03 nozzles: r = −0.98; 80 02 nozzles: r = −0.97; 80 015 nozzles: r = −0.95). This data will help future researchers in their papers to facilitate and describe similar models for plat protection processes, and all agricultural producers to determine optimal operating pressure which is immensely important in economic, biologic, technical and ecologic aspect. PB - Strojarski Facultet T2 - Tehnicki Vjesnik T1 - Mathematical Method for Droplet Size Distribution of Agricultural Nozzles EP - 1754 IS - 5 SP - 1749 VL - 28 DO - 10.17559/TV-20200428144856 ER -
@article{ author = "Tomantschger, Kurt and Petrović, Dragan V. and Radojević, Rade L. and Tadić, Vjekoslav", year = "2021", abstract = "One of the technical factors from agricultural nozzles and overall plant protection is droplet diameter, which exclusively depends on working pressure, ISO number and nozzle type. Therefore, this paper was aimed to describe mathematical model for droplet size distribution. Through field exploitation experiment, data was used from three ISO numbers of nozzles (hollow cone 80 015; 02 and 03), two air-assisted sprayers (axial and radial fan) and two permanent crops (vineyard and an apple orchard). Water sensitive papers were used for evaluation of droplet diameters, and digital image analysis with Image J software was used for data processing. Mathematical model through homogenous diffusion equation and simplified differential equation shows that droplet size distribution had exponential function of modelling. Theoretical mathematical model was confirmed in experimental results, where coefficient of determination of exponential regression model for 80 015 nozzles was 0.93 with 5.15 of RMSE. The same coefficient for 80 02 nozzles was 0.96 with 2.88 of RMSE and for 80 03 nozzle R2 was 0.93 with 3.25 of RMSE. In addition, it is proved that droplet diameter depends on operating pressure with very high negative correlation (80 03 nozzles: r = −0.98; 80 02 nozzles: r = −0.97; 80 015 nozzles: r = −0.95). This data will help future researchers in their papers to facilitate and describe similar models for plat protection processes, and all agricultural producers to determine optimal operating pressure which is immensely important in economic, biologic, technical and ecologic aspect.", publisher = "Strojarski Facultet", journal = "Tehnicki Vjesnik", title = "Mathematical Method for Droplet Size Distribution of Agricultural Nozzles", pages = "1754-1749", number = "5", volume = "28", doi = "10.17559/TV-20200428144856" }
Tomantschger, K., Petrović, D. V., Radojević, R. L.,& Tadić, V.. (2021). Mathematical Method for Droplet Size Distribution of Agricultural Nozzles. in Tehnicki Vjesnik Strojarski Facultet., 28(5), 1749-1754. https://doi.org/10.17559/TV-20200428144856
Tomantschger K, Petrović DV, Radojević RL, Tadić V. Mathematical Method for Droplet Size Distribution of Agricultural Nozzles. in Tehnicki Vjesnik. 2021;28(5):1749-1754. doi:10.17559/TV-20200428144856 .
Tomantschger, Kurt, Petrović, Dragan V., Radojević, Rade L., Tadić, Vjekoslav, "Mathematical Method for Droplet Size Distribution of Agricultural Nozzles" in Tehnicki Vjesnik, 28, no. 5 (2021):1749-1754, https://doi.org/10.17559/TV-20200428144856 . .