Prediction of a fertilizer particle motion along a vane of a centrifugal spreader disc assuming its pure rolling

Tomantschger, Kurt; Petrović, Dragan; Cerovic, Bozidar; Radojević, Rade

doi:10.5937/fmet1804544k

Cited by 7 publications

(3 citation statements)

References 21 publications

(25 reference statements)

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“…To estimate the projection of fertilizer during the fertilizer spreading operation as presented in Figure 5, the kinematic equation for projectile motion [11] shown below were used.…”

Section: Fertilizer Projectile Motionmentioning

confidence: 99%

Investigating Fertilizer Spreader Blades for Improved Flow Behaviours and Material Resilience in Palm Plantation Settings

Affendy Hassan,

Mohd Hafis Sulaiman,

Muhammad Shuhaimi Ibrahim

et al. 2024

ARFMTS

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Fertilizer spreaders play a crucial role in evenly distributing granule fertilizer across palm plantations. However, in specific areas where growth conditions are unsuitable, fertilizer application becomes unnecessary. Therefore, this study aims to improve granule fertilizer distribution efficiency through enhanced fertilizer blade design. Using Finite Element (FE) simulation, the stress deformation and deflection of the existing spreader blade were evaluated. Meanwhile, Computational Fluid Dynamics (CFD) simulation was used to investigate the influence of spreader design on fertilizer projection speed and direction in the case of open and closed side discharge. The study revealed that the applied forces increased both the critical stress deformation and deflection. To ensure the fertilizer spreads properly over the desired area, the initial velocity had to be increased proportionally with an increase in the angle of direction. These findings contributed to a deeper understanding of the relationship between fertilizer projection velocity, spreader blade strength, and flow behaviour, enabling the reduction of waste in granule fertilizer, while enhancing the operational efficiency and reliability of fertilizer spreader.

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“…To estimate the projection of fertilizer during the fertilizer spreading operation as presented in Figure 5, the kinematic equation for projectile motion [11] shown below were used.…”

Section: Fertilizer Projectile Motionmentioning

confidence: 99%

Investigating Fertilizer Spreader Blades for Improved Flow Behaviours and Material Resilience in Palm Plantation Settings

Affendy Hassan,

Mohd Hafis Sulaiman,

Muhammad Shuhaimi Ibrahim

et al. 2024

ARFMTS

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“…Many authors are developing and describing different models with diffusion and differential equations for distribution of different properties, such as: waterborne particle sizes [20,21] and particle sizes of filter granulation [22,23]. In addition, different mathematical models are being developed for durability of agricultural tractors [24], surface roughness of artificial cell wall materials [25] and fertilizer particle motion [26]. Some authors are investigating models of sowing process with different types of sowing machines in the function of longitudinal, lateral and seed depth distribution [27,28].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Method for Droplet Size Distribution of Agricultural Nozzles

et al. 2021

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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 RMSE. The same coefficient for 80 02 nozzles was 0.96 with 2.88 of RMSE and for 80 03 nozzle R 2 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.

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“…Authors [7][8][9][10][11][12][13][14] are developing many different models with diffusion and differential equations for distribution of different properties as: waterborne particle sizes [8,11,14] and particle sizes of filter granulation [10,12]. Also, different mathematical models are being developed for durability of agricultural tractors [7], surface roughness of artificial cell wall materials [9] and fertilizer particle motion [13]. Similar to the title of this paper, many authors are investigating seed distribution with different types sowing machines [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Partial Differential Equations for Cereal Seeds Distribution

Tomantschger

Tadić

2021

Teh. vjesn.

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During the recent years all crop species achieved the best possible field distribution so a high yield is to be expected. In this paper the solutions of two different diffusion equations are determined, which describe the optimal distribution of cereal grains over a field. Therefore, there are two different partial differential equations of cereal seed distribution-distinction is made between the longitudinal spacing (seeds in a row), and transverse distance (between two rows), as well as the sowing depth. In particular, closed forms of solutions are derived in each case. Although the result of the diffusion equation with respect to the distribution of the lateral seed distance of two adjacent rows is already known, a new solving method is presented in this paper. By this method, the partial differential equation is reduced to an ordinary one, which is easier to solve. In this paper it is shown that the distribution of lateral resp. longitudinal and in-depth wheat seed distances is achieved by a normal Gauss function resp. a log-normal function. Furthermore, it is demonstrated that the fitting functions of the best experimental results of wheat seeding distributions are particular solutions of the individual differential equations. Normal Gauss function describes lateral distribution with R 2 = 0.9325; RSME = 1.2450, and log-normal function describes longitudinal distribution with R 2 = 0.9380; RSME = 1.4696 as well as depth distribution with R 2 = 0.9225; RSME = 2.0187.

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Prediction of a fertilizer particle motion along a vane of a centrifugal spreader disc assuming its pure rolling

Cited by 7 publications

References 21 publications

Investigating Fertilizer Spreader Blades for Improved Flow Behaviours and Material Resilience in Palm Plantation Settings

Investigating Fertilizer Spreader Blades for Improved Flow Behaviours and Material Resilience in Palm Plantation Settings

Mathematical Method for Droplet Size Distribution of Agricultural Nozzles

Partial Differential Equations for Cereal Seeds Distribution

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