Analytical solution to a growth problem with two moving boundaries

被引：11

作者：

Braun, A

Wokaun, A

Hermanns, HG

机构：

[1] Paul Scherrer Inst, Gen Energy Res Dept, CH-5232 Villigen, Switzerland

[2] Swiss Fed Inst Technol, Swiss Fed Inst Technol, Dept Chem Engn & Ind Chem, CH-8092 Zurich, Switzerland

[3] Rhein Westfal TH Aachen, Inst Theoret Phys A, D-52056 Aachen, Germany

来源：

APPLIED MATHEMATICAL MODELLING | 2003年 / 27卷 / 01期

关键词：

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

D O I：

10.1016/S0307-904X(02)00085-9

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：47 / 52

页数：6

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