Modeling and simulation of liquid fertilizer devices for nitrogen top dressing in maize fields
Abstract
Nitrogen top dressing is essential to supplement maize needs in crop fields. In Brazilian agriculture, a spreader is the most popular equipment used to apply nitrogen fertilizer to growing maize. However, spreaders present at least three problems: non-uniform fertilizer placement, granular fertilizer placement on the top of maize leaves, and granular fertilizer scattering without a precise target. As an alternative, liquid nitrogen fertilizer applied in side bands of maize rows can improve nutrient placement and dosage precision. The objective was to design a liquid fertilizer application device for assembly on a boom sprayer. For this, a programming model was simulated in Matlab. The liquid fertilizer source, fertilizer rate, maize row width, and boom sprayer speed were considered as input parameters. The simulation assisted in the design of the liquid fertilizer device. The device was constructed and evaluated on a laboratory bench. As a result, pressure, nozzle outlet flow, and forward speed were compatible with a self-propelled sprayer. The proposed process showed the potential to improve the outlet flow quality (coefficient of variation less than 10%). In addition, the liquid fertilizer device was considered simple to assemble in the sprayer’s boom. These characteristics could represent some attractive aspects for the farmers.
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References
Cahill, S., Osmond, D., Crozier, C., Israel, D., & Weisz, R. (2007). Winter wheat and maize response to urea ammonium nitrate and a new urea formaldehyde polymer fertilizer. Agronomy Journal, 99(6), 1645-1653. https://doi.org/10.2134/agronj2007.0132
Campbell, C. M., Fulton, J. P., Wood, C. W., Mcdonald, T. P., & Zech, W. C. (2015). Utilizing nutrient over mass distribution patterns for assessment of Poultry litter spreaders. Transactions of the ASAE, 53(3), 659–666. https://doi.org/10.13031/2013.30057
Chen, Y., Mao, E., Li, W., Zhang, S., Song, Z., Yang, S., & Chen, J. (2020). Design and experiment of a high-clearance self-propelled sprayer chassis. International Journal of Agricultural and Biological Engineering, 13(2), 71-80. https://doi.org/10.25165/j.ijabe.20201302.5262
Cisternas, I., Velásquez, I., Caro, A., & Rodríguez, A. (2020). Systematic literature review of implementations of precision agriculture. Computers and Electronics in Agriculture, 176, 105626. https://doi.org/10.1016/j.compag.2020.105626
Faria, I. K. P., Vieira, J. L. V., Tenelli, S., Almeida, R. E. M., Campos, L. J. M., Costa, R. V., Zavaschi, E., Almeida, R. F., Carneiro, L. M. S., & Otto, R. (2019). Optimal plant density and nitrogen rates for improving off-season corn yields in Brazil. Scientia Agricola, 76(4), 344-352. https://doi.org/10.1590/1678-992x-2017-0295
Food and Agriculture Organization of the United Nations [FAO]. (2022). Statistics division. FAO. https://www.fao.org/faostat/en/
Fulton, J. P., Shearer, S. A., Chabra, G., & Higgins, S. F. (2001). Performance assessment and model development of a variable-rate, spinner-disc fertilizer applicator. Transactions of the ASAE, 44(5), 1071–1081. https://doi.org/10.13031/2013.6429
Knutson, A. L., & Van de Ven, J. D. (2016). Modelling and experimental validation of the displacement of a check valve in a hydraulic piston pump. International Journal of Fluid Power, 17(2), 114-124. https://doi.org/10.1080/14399776.2016.1160718
Mattos, F. L., & Franco da Silveira, R. L. (2018). The expansion of the Brazilian winter corn crop and Its impact on price transmission. International Journal of Financial Studies, 6(2), 1-17. https://doi.org/10.3390/ijfs6020045
Nascimento, C. A. C., Vitti, G. C., Faria, L. A., Luz, P. H. D. C., & Mendes, F. L. (2013). Ammonia volatilization from coated urea forms. Revista Brasileira de Ciência do Solo, 37(4), 1057-1063. https://doi.org/dx.doi.org/10.1590/S0100-06832013000400022
Nkebiwe, P. M., Weinmann, M., Bar-Tal, A., & Müller, T. (2016). Fertilizer placement to improve crop nutrient acquisition and yield: A review and meta-analysis. Field Crops Research, 196, 389-401. https://doi.org/10.1016/j.fcr.2016.07.018
Panison, F., Sangoi, L., Durli, M. M., Leolato, L. S., Coelho, A. E., Kuneski, H. F., & Liz, V. O. (2019). Timing and splitting of nitrogen side-dress fertilization of early corn hybrids for high grain yield. Revista Brasileira de Ciência do Solo, 43, 1-13. https://doi.org/10.1590/18069657rbcs20170338
Pathak, H. S., Brown, P., & Best, T. (2019). A systematic literature review of the factors affecting the precision agriculture adoption process. Precision Agriculture, 20(9), 1292-1316. https://doi.org/10.1007/s11119-019-09653-x
Prasertsak, P., Freney, J. R., Denmead, O. T., Saffigna, P. G., Prove, B. G. & Reghenzani, J. R. (2002). Effect of fertilizer placement on nitrogen loss from sugarcane in tropical Queensland. Nutrient Cycling in Agroecosystems, 62(3), 229-239. https://doi.org/10.1023/A:1021279309222
Reyes, J. F., Esquivel, W., Cifuentes, D., & Ortega, R. (2015). Field testing of an automatic control system for variable rate fertilizer application. Computers and Electronics in Agriculture, 113, 260-265. https://doi.org/10.1016/j.compag.2015.03.003
Santos, W. M., Alves, B. J. R., Urquiaga, S., Pacheco, E. P., Barros, I., Fernandes, M. F., Batista, J. N., Bender, E. P., Souza, H. N., & Jantalia, C. P. (2020). Ammonia volatilization and yield of corn fertilized with different nitrogen sources in the Brazilian semiarid. Pesquisa Agropecuária Brasileira, 55, 1-10. https://doi.org/10.1590/S1678-3921.PAB2020.V55.01036
Sharda, A., Fulton, J. P., & Taylor, R. K. (2016). Performance of variable-orifice nozzles for Liquid fertilizer applications. Applied Engineering in Agriculture, 32(3), 347-352. https://doi.org/10.13031/aea.32.11428
Silva, M. J., Franco, H. C. J., & Magalhães, P. S. G. (2017). Liquid fertilizer application to ratoon cane using a soil punching method. Soil and Tillage Research, 165, 279-285. https://doi.org/10.1016/j.still.2016.08.020
Silva, M. J., & Magalhães, P. S. G. (2019). Modeling and design of an injection dosing system for site-specific management using liquid fertilizer. Precision Agriculture, 20(4), 649-662. https://doi.org/10.1007/s11119-018-9602-5
Simão, E. P., Resende, Á. V., Gontijo Neto, M. M., Silva, A. F., Godinho, V. P. C., Galvão, J. C. C., Borghi, E., Oliveira, A. C., & Giehl, J. (2020). Nitrogen fertilization in off-season corn crop in different Brazilian Cerrado environments. Pesquisa Agropecuaria Brasileira, 55, 1-11. https://doi.org/10.1590/S1678-3921.PAB2020.V55.01551
Steusloff, T. W., Nelson, K. A., Motavalli, P. P., & Singh, G. (2019). Fertilizer placement affects corn and nitrogen use efficiency in a claypan soil. Agronomy Journal, 111(5), 2512-2522. https://doi.org/10.2134/agronj2019.02.0108
Sun, Z., Sun, H., Liu, H., Zhang, J., Chen, L., Li, M., Zheng, L., & Wang, X. (2018). Performance test and parameter optimization of variable spraying liquid fertilizer machine. IFAC-PapersOnLine, 51(17), 118-123. https://doi.org/10.1016/j.ifacol.2018.08.073
Vargas, V. P., Sangoi, L., Ernani, P. R., Picoli, G. J., & Cantarella, H. (2015). Maize leaf phytotoxicity and grain yield are affected by nitrogen source and application method. Agronomy Journal, 107(2), 671-679. https://doi.org/10.2134/agronj14.0121
Virk, S. S., Fulton, J. P., Fasina, O. O., & McDonald, T. P. (2013). Influence of broiler litter bulk density on metering distribution for a spinner-disc spreader. Applied Engineering in Agriculture, 29(4), 473–482. https://doi.org/10.13031/aea.29.9993
Xiuyun, X., Xufeng, X., Zelong, Z., Bin, Z., Shuran, S., Zhen, L., Tiansheng, H., & Huixian, H. (2019). Variable rate liquid fertilizer applicator for deep-fertilization in precision farming based on zigbee technology. IFAC-PapersOnLine, 52(30), 43-50. https://doi.org/10.1016/j.ifacol.2019.12.487
Yamin, M., Wan Ismail, W. I., Mohd Kassim, M. S., Abd Aziz, S., & Shamshiri, R. (2016). VRT liquid fertilizer applicator for soil nutrient management. Jurnal Teknologi, 78(1–2), 73-78. https://doi.org/10.11113/jt.v78.7262
Zha, X., Zhang, G., Han, Y., Salem, A. E., Fu, J., & Zhou, Y. (2021). Structural optimization and performance evaluation of blocking wheel-type screw fertilizer distributor. Agriculture, 11(3), 1-17. https://doi.org/10.3390/agriculture11030248
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