COMPLEMENTARY METHOD FOR DERIVING CONCENTRATION OF DIFFUSING SUBSTANCE IN A MEDIUM FOR MULTI-DIMENSIONAL DIFFUSION

被引：2

作者：

Tsai, C-L ^{[1
]}

Lin, C-C ^{[2
]}

Lee, H-J ^{[1
]}

Wang, C-H ^{[3
]}

机构：

[1] Natl Yunlin Univ Sci & Technol, Dept Construct Engn, Yunlin 64002, Taiwan

[2] Feng Chia Univ, Dept Civil Engn, Taichung 40724, Taiwan

[3] TransWorld Univ, Ctr Gen Educ, Yunlin 64063, Taiwan

来源：

JOURNAL OF MECHANICS | 2014年 / 30卷 / 01期

关键词：

Complementary method; Diffusion; Multi-dimensional;

D O I：

10.1017/jmech.2013.63

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Concentration of a diffusing substance in a medium was derived in various cases of uni-dimensional diffusion, including in a semi-infinite medium and a plate-shaped medium. Multi-dimensional diffusion involves boundary conditions in each coordinate direction. The algorithm dealing with uni-dimensional case becomes very complicated in multi-dimensional cases. This study proposes an algorithm, which is called the complementary method, that combines complementary functions of the normalized solution in uni-dimensional diffusion case by multiplication to solve those in various multi-dimensional diffusion cases with dramatically simplified mathematics. Besides, the complementary method is used to solve various kinds of boundary conditions for multi-dimensional diffusion.

引用

页码：29 / 38

页数：10

共 6 条

[1] [Anonymous], 1990, CONDUCTION HEAT SOLI
[2] Advancing boundary model for moisture diffusion in a composite laminate
Chang, Ting-Wei
Wang, Chih Hsing
Tsai, Cho-Liang
[J]. JOURNAL OF COMPOSITE MATERIALS, 2008, 42 (10) : 957 - 973
[3] Crank J., 1979, MATH DIFFUSION, V2nd
[4] ADVANCING DIFFUSION MODEL FOR DIFFUSION IN A CUBE OF MEDIUM
Lin, C. -C.
Tsai, C. -L.
Wu, P. -K.
Lee, H. -J.
[J]. JOURNAL OF MECHANICS, 2012, 28 (02) : 345 - 354
[5] Tsai C.-L., 2011, 35 NAT C THEOR APPL
[6] Wang C. H., 2010, THESIS NATL YUNLIN U

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