2018
DOI: 10.1016/j.jconrel.2017.12.017
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A review of mathematical modeling and simulation of controlled-release fertilizers

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Cited by 155 publications
(95 citation statements)
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“…A review of the technical approach based on the mathematical modeling and simulation of fertilizers release is presented in the works [14][15][16]. Additionally, the research paper [17] deals with modeling the diffusion process for a single granule for modeling of the controlled nutrient release from polymer-coated fertilizers, as well as the statistically based model for diffusion release is proposed in the research paper [18].…”
Section: Literature Reviewmentioning
confidence: 99%
“…A review of the technical approach based on the mathematical modeling and simulation of fertilizers release is presented in the works [14][15][16]. Additionally, the research paper [17] deals with modeling the diffusion process for a single granule for modeling of the controlled nutrient release from polymer-coated fertilizers, as well as the statistically based model for diffusion release is proposed in the research paper [18].…”
Section: Literature Reviewmentioning
confidence: 99%
“…Controlled-release fertilizers technology consist of encapsulated materials coated by polymers deliberately made to allow for slow release of the active nutrient, maintaining prolonged nutrient release in synchronization with plant metabolic needs. CRF technology is designed to have optimal nutrient release, that is, the nutrient release rate corresponds to the maximum rate of nutrient uptake by plants, which varies dynamically during the plant growth stages over the growing season (Irfan et al, 2018).…”
Section: Introductionmentioning
confidence: 99%
“…The value of initial diffusion coefficient, D of both samples is affected by the chemical structure and the surface area of the polymer, where the value of D for NPK coated with SAP is higher than NPK coated with SPC. This shows that the incorporation of carbonaceous microsphere filler into the polymer aids in controlling the release rate of the nutrients into soil; the nutrients are released slower from NPK coated with SPC than NPK coated with SAP …”
Section: Resultsmentioning
confidence: 97%
“…, where Mt / M is the released fraction at time t , n is the release exponent, and k is the release factor. According to the Korsmeyer–Peppas model developed in 1983, a value of n of ≤0.5 implies that the fertilizer release mechanism approaches a Fickian diffusion‐controlled release, n = 1.0 signifies that the fertilizer release mechanism approaches Case II transport, which is zero order release, whereas n = 0.5–1.0 indicates that the fertilizer release mechanism is anomalous transport, also known as non Fickian diffusion . Table summarizes the values for N, P, and K release from NPK coated with SAP and NPK coated with SPC in soil.…”
Section: Resultsmentioning
confidence: 99%