eprintid: 8774
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/87/74
datestamp: 2023-11-09 16:20:41
lastmod: 2023-11-09 16:20:41
status_changed: 2023-11-09 16:13:29
type: article
metadata_visibility: show
creators_name: Irfan, S.A.
creators_name: Razali, R.
creators_name: KuShaari, K.
creators_name: Mansor, N.
title: Reaction-multi diffusion model for nutrient release and autocatalytic degradation of pla-coated controlled-release fertilizer
ispublished: pub
keywords: Biodegradable polymers; Diffusion; Diffusion coatings; Diffusion in liquids; Fertilizers; Lactic acid; Laplace transforms; Linear equations; Numerical methods; Nutrients; Partial differential equations, Analytical-numerical method; Autocatalytic degradation; Controlled-release fertilizers; Coupled partial differential equations; Numerical Laplace inversion; Poly lactic acid; Reaction diffusion; Reaction diffusion equations, Reaction rates
note: cited By 9
abstract: 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.
date: 2017
publisher: MDPI AG
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85016068463&doi=10.3390%2fpolym9030111&partnerID=40&md5=e4a492aa82d2a15bce227809598a8351
id_number: 10.3390/polym9030111
full_text_status: none
publication: Polymers
volume: 9
number: 3
refereed: TRUE
issn: 20734360
citation:   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).   ISSN 20734360