Analytical solution of diffusion model for nutrient release from controlled release fertilizer

An analytical method has been developed to solve the initial value problem which arises from Fick's diffusion equation encountered in the modelling of the Controlled Release Fertilizers. The proposed analytical solution is developed using the modified Adomian decomposition method. This method d...

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Main Authors: Irfan, S.A., Razali, R., Kushaari, K., Mansor, N., Azeem, B.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.20020 /
Published: Institute of Physics Publishing 2017
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85030662125&doi=10.1088%2f1742-6596%2f890%2f1%2f012078&partnerID=40&md5=b818630c745d787d0520d29167752d01
http://eprints.utp.edu.my/20020/
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spelling utp-eprints.200202018-04-22T14:36:15Z Analytical solution of diffusion model for nutrient release from controlled release fertilizer Irfan, S.A. Razali, R. Kushaari, K. Mansor, N. Azeem, B. An analytical method has been developed to solve the initial value problem which arises from Fick's diffusion equation encountered in the modelling of the Controlled Release Fertilizers. The proposed analytical solution is developed using the modified Adomian decomposition method. This method does not require the discretization method, reliability and efficiency of this method is more and it also reduces the calculation time. The model has predicted the effect of granule radius and diffusion coefficient on the nutrient release and total release time of Controlled Release Fertilizer. Model has predicted that increase in the radius of granule reduces the release and vice versa in case of diffusion coefficient. Detailed understanding of these parameters helps in improved designing of Controlled Release Fertilizer. © Published under licence by IOP Publishing Ltd. Institute of Physics Publishing 2017 Article PeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85030662125&doi=10.1088%2f1742-6596%2f890%2f1%2f012078&partnerID=40&md5=b818630c745d787d0520d29167752d01 Irfan, S.A. and Razali, R. and Kushaari, K. and Mansor, N. and Azeem, B. (2017) Analytical solution of diffusion model for nutrient release from controlled release fertilizer. Journal of Physics: Conference Series, 890 (1). http://eprints.utp.edu.my/20020/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description An analytical method has been developed to solve the initial value problem which arises from Fick's diffusion equation encountered in the modelling of the Controlled Release Fertilizers. The proposed analytical solution is developed using the modified Adomian decomposition method. This method does not require the discretization method, reliability and efficiency of this method is more and it also reduces the calculation time. The model has predicted the effect of granule radius and diffusion coefficient on the nutrient release and total release time of Controlled Release Fertilizer. Model has predicted that increase in the radius of granule reduces the release and vice versa in case of diffusion coefficient. Detailed understanding of these parameters helps in improved designing of Controlled Release Fertilizer. © Published under licence by IOP Publishing Ltd.
format Article
author Irfan, S.A.
Razali, R.
Kushaari, K.
Mansor, N.
Azeem, B.
spellingShingle Irfan, S.A.
Razali, R.
Kushaari, K.
Mansor, N.
Azeem, B.
Analytical solution of diffusion model for nutrient release from controlled release fertilizer
author_sort Irfan, S.A.
title Analytical solution of diffusion model for nutrient release from controlled release fertilizer
title_short Analytical solution of diffusion model for nutrient release from controlled release fertilizer
title_full Analytical solution of diffusion model for nutrient release from controlled release fertilizer
title_fullStr Analytical solution of diffusion model for nutrient release from controlled release fertilizer
title_full_unstemmed Analytical solution of diffusion model for nutrient release from controlled release fertilizer
title_sort analytical solution of diffusion model for nutrient release from controlled release fertilizer
publisher Institute of Physics Publishing
publishDate 2017
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85030662125&doi=10.1088%2f1742-6596%2f890%2f1%2f012078&partnerID=40&md5=b818630c745d787d0520d29167752d01
http://eprints.utp.edu.my/20020/
_version_ 1741196303028715520
score 11.62408

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