Mathematical Method for Droplet Size Distribution of Agricultural Nozzles
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek
2021-01-01
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| Series: | Tehnički Vjesnik |
| Subjects: | |
| Online Access: | https://hrcak.srce.hr/file/380253 |
| _version_ | 1797206921952886784 |
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| author | Kurt Tomantschger Dragan V. Petrović Rade L. Radojević Vjekoslav Tadić* |
| author_facet | Kurt Tomantschger Dragan V. Petrović Rade L. Radojević Vjekoslav Tadić* |
| author_sort | Kurt Tomantschger |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T09:14:42Z |
| format | Article |
| id | doaj.art-487de2c69acb4859b5fdac942410a65e |
| institution | Directory Open Access Journal |
| issn | 1330-3651 1848-6339 |
| language | English |
| last_indexed | 2024-04-24T09:14:42Z |
| publishDate | 2021-01-01 |
| publisher | Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek |
| record_format | Article |
| series | Tehnički Vjesnik |
| spelling | doaj.art-487de2c69acb4859b5fdac942410a65e2024-04-15T17:10:28ZengFaculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in OsijekTehnički Vjesnik1330-36511848-63392021-01-012851749175410.17559/TV-20200428144856Mathematical Method for Droplet Size Distribution of Agricultural NozzlesKurt Tomantschger0Dragan V. Petrović1Rade L. Radojević2Vjekoslav Tadić*3University of technology Graz, Faculty of Mathematics, Physics and Geodesy, Steyrergasse 30, 8010 Graz, AustriaUniversity of Belgrade, Faculty of Agriculture, Nemanjina 6, 11 081 Belgrade - Zemun, SerbiaUniversity of Belgrade, Faculty of Agriculture, Nemanjina 6, 11 081 Belgrade - Zemun, SerbiaUniversity of J. J. Strossmayer in Osijek, Faculty of Agrobiotehnical Sciences Osijek, Vladimira Preloga 1, 31000 Osijek, CroatiaOne 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.https://hrcak.srce.hr/file/380253agricultural nozzlesdiffusion equations, droplet size distributionpartial differential equationplant protection |
| spellingShingle | Kurt Tomantschger Dragan V. Petrović Rade L. Radojević Vjekoslav Tadić* Mathematical Method for Droplet Size Distribution of Agricultural Nozzles Tehnički Vjesnik agricultural nozzles diffusion equations, droplet size distribution partial differential equation plant protection |
| title | Mathematical Method for Droplet Size Distribution of Agricultural Nozzles |
| title_full | Mathematical Method for Droplet Size Distribution of Agricultural Nozzles |
| title_fullStr | Mathematical Method for Droplet Size Distribution of Agricultural Nozzles |
| title_full_unstemmed | Mathematical Method for Droplet Size Distribution of Agricultural Nozzles |
| title_short | Mathematical Method for Droplet Size Distribution of Agricultural Nozzles |
| title_sort | mathematical method for droplet size distribution of agricultural nozzles |
| topic | agricultural nozzles diffusion equations, droplet size distribution partial differential equation plant protection |
| url | https://hrcak.srce.hr/file/380253 |
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