4.7 Article

Analytical solution to a growth problem with two moving boundaries

Journal

APPLIED MATHEMATICAL MODELLING
Volume 27, Issue 1, Pages 47-52

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/S0307-904X(02)00085-9

Keywords

exactly solvable growth model; film growth; chemical reaction engineering; Lambert W; activation

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The equation of motion for two moving reaction boundaries in a solid is analysed. The distance between the two boundaries corresponds to a film, and its thickness is given by an analytical expression in terms of the Lambert W function. The time dependent growth of the film thickness is discussed, including its limits. (C) 2002 Elsevier Science Inc. All rights reserved.

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