A new look to non-Fickian diffusion

被引：45
作者：
Ferreira, J. A. [1 ]
Grassi, M. [2 ]
Gudino, E. [1 ]
de Oliveira, P. [1 ]
机构：
[1] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal
[2] Univ Trieste, Dept Chem Engn, I-34127 Trieste, Italy
来源：
APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 01期
关键词：
Non-Fickian; Viscoelastic diffusion coefficient; Non linear viscoelasticity; MASS-TRANSPORT; RELAXATION;
D O I：
10.1016/j.apm.2014.05.030
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper a non linear mathematical model to describe absorption phenomena in polymers is proposed. The model is established assuming that the diffusing penetrant causes a deformation which induces a viscoelastic stress responsible for a convective field. This convective field is defined to represent an opposition of the polymer to the Fickian diffusion. Several numerical examples show the effectiveness of the model. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：194 / 204
页数：11
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