Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer

A mathematical model for the reaction-diffusion equation is developed to describe the nutrient release profiles and degradation of poly(lactic acid) (PLA)-coated controlled-release fertilizer. A multi-diffusion model that consists of coupled partial differential equations is used to study the diffus...

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Main Authors: Irfan, S.A., Razali, R., KuShaari, K., Mansor, N.
Format: Article
Published: MDPI AG 2017
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85016068463&doi=10.3390%2fpolym9030111&partnerID=40&md5=e4a492aa82d2a15bce227809598a8351
http://eprints.utp.edu.my/19571/
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spelling my.utp.eprints.195712018-04-20T07:09:10Z Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer Irfan, S.A. Razali, R. KuShaari, K. Mansor, N. A mathematical model for the reaction-diffusion equation is developed to describe the nutrient release profiles and degradation of poly(lactic acid) (PLA)-coated controlled-release fertilizer. A multi-diffusion model that consists of coupled partial differential equations is used to study the diffusion and chemical reaction (autocatalytic degradation) simultaneously. The model is solved using an analytical-numerical method. Firstly, the model equation is transformed using the Laplace transformation as the Laplace transform cannot be inverted analytically. Numerical inversion of the Laplace transform is used by employing the Zakian method. The solution is useful in predicting the nutrient release profiles at various diffusivity, concentration of extraction medium, and reaction rates. It also helps in explaining the transformation of autocatalytic concentration in the coating material for various reaction rates, times of reaction, and reaction-multi diffusion. The solution is also applicable to the other biodegradable polymer-coated controlled-release fertilizers. © 2017 by the authors. MDPI AG 2017 Article PeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85016068463&doi=10.3390%2fpolym9030111&partnerID=40&md5=e4a492aa82d2a15bce227809598a8351 Irfan, S.A. and Razali, R. and KuShaari, K. and Mansor, N. (2017) Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer. Polymers, 9 (3). http://eprints.utp.edu.my/19571/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
description A mathematical model for the reaction-diffusion equation is developed to describe the nutrient release profiles and degradation of poly(lactic acid) (PLA)-coated controlled-release fertilizer. A multi-diffusion model that consists of coupled partial differential equations is used to study the diffusion and chemical reaction (autocatalytic degradation) simultaneously. The model is solved using an analytical-numerical method. Firstly, the model equation is transformed using the Laplace transformation as the Laplace transform cannot be inverted analytically. Numerical inversion of the Laplace transform is used by employing the Zakian method. The solution is useful in predicting the nutrient release profiles at various diffusivity, concentration of extraction medium, and reaction rates. It also helps in explaining the transformation of autocatalytic concentration in the coating material for various reaction rates, times of reaction, and reaction-multi diffusion. The solution is also applicable to the other biodegradable polymer-coated controlled-release fertilizers. © 2017 by the authors.
format Article
author Irfan, S.A.
Razali, R.
KuShaari, K.
Mansor, N.
spellingShingle Irfan, S.A.
Razali, R.
KuShaari, K.
Mansor, N.
Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer
author_facet Irfan, S.A.
Razali, R.
KuShaari, K.
Mansor, N.
author_sort Irfan, S.A.
title Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer
title_short Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer
title_full Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer
title_fullStr Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer
title_full_unstemmed Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer
title_sort reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer
publisher MDPI AG
publishDate 2017
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85016068463&doi=10.3390%2fpolym9030111&partnerID=40&md5=e4a492aa82d2a15bce227809598a8351
http://eprints.utp.edu.my/19571/
_version_ 1738656088958435328
score 13.244368