Effective diffusivity in transient state

被引:0
作者
Tabor, Zbislaw [1 ]
Nowak, Pawel [2 ]
Krzak, Malgorzata [2 ]
Warszynski, Piotr [2 ]
机构
[1] Cracow Univ Technol, PL-31155 Krakow, Poland
[2] J Haber Inst Catalysis & Surface Chem PAS, PL-30239 Krakow, Poland
关键词
INHOMOGENEOUS-MEDIA; POLYMER-COATINGS; WATER DIFFUSION;
D O I
10.1063/1.4818579
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The effective diffusivity in a polymer matrix modified with inclusions is usually calculated based on Kalnin-Kotomin's model [J. R. Kalnin, E. A. Kotomin, and J. Maier, J. Phys. Chem. Solids 63, 449-456 (2002)], which extends the well known Maxwell-Garnett formula. Kalnin-Kotomin's model correctly predicts effective diffusivity for stationary diffusion or for infinite media. In the present paper diffusion in composite media is studied for finite systems under transient conditions. The process of diffusion is modeled numerically and effective diffusion coefficient in the transient state is estimated, which, under certain conditions, is different from the predictions of the Kalnin-Kotomin's model. An analytical model is proposed to explain deviations of the transient effective coefficient of diffusion from the stationary case. (C) 2013 AIP Publishing LLC.
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页数:8
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