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

被引:1
|
作者
Irfan, Sayed Ameenuddin [1 ]
Razali, Radzuan [1 ]
KuShaari, KuZilati [2 ]
Mansor, Nurlidia [2 ]
Azeem, Babar [2 ]
机构
[1] Univ Teknol PETRONAS, Dept Fundamental & Appl Sci, Seri Iskandar 32610, Perak Darul Rid, Malaysia
[2] Univ Teknol PETRONAS, Dept Chem Engn, Seri Iskandar 32610, Perak Darul Rid, Malaysia
来源
1ST INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS 2017 (ICOAIMS 2017) | 2017年 / 890卷
关键词
MATHEMATICAL-MODEL;
D O I
10.1088/1742-6596/890/1/012078
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页数:5
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