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Advancing Diffusion Model for Diffusion in a Cube of Medium

Published online by Cambridge University Press:  08 May 2012

C.-C. Lin
Affiliation:
Department of Civil Engineering, Feng Chia University, Taichung, Taiwan 40724, R.O.C.
C.-L. Tsai*
Affiliation:
Department of Construction Engineering, National Yunlin University of Science & Technology, Yunlin, Taiwan 64002, R.O.C.
P.-K. Wu
Affiliation:
Department of Construction Engineering, National Yunlin University of Science & Technology, Yunlin, Taiwan 64002, R.O.C.
H.-J. Lee
Affiliation:
Department of Construction Engineering, National Yunlin University of Science & Technology, Yunlin, Taiwan 64002, R.O.C.
*
*Corresponding author (tsaicl@yuntech.edu.tw)

Abstract

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A solution based on an advancing model for the content of diffusion material in a cube of medium is derived. The cube is assumed to be surrounded by diffusion material, and the diffusion material penetrates through all six surfaces and diffuses toward the center of the cube. The model accounts for the interaction between the diffusions in the three principle coordinates of the Cartesian coordinate system. For the first time, an exact solution of the content of the diffusion material based on the advancing model is derived in a clean form for a three-dimensional case.

Information

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012