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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Печать: 2152-5102
ISSN Онлайн: 2152-5110

Выпуски:
Том 46, 2019 Том 45, 2018 Том 44, 2017 Том 43, 2016 Том 42, 2015 Том 41, 2014 Том 40, 2013 Том 39, 2012 Том 38, 2011 Том 37, 2010 Том 36, 2009 Том 35, 2008 Том 34, 2007 Том 33, 2006 Том 32, 2005 Том 31, 2004 Том 30, 2003 Том 29, 2002 Том 28, 2001 Том 27, 2000 Том 26, 1999 Том 25, 1998 Том 24, 1997 Том 23, 1996 Том 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v27.i2-4.100
pages 312-319

A Mathematical Model of Surface-Reaction Diffusion

Yu. A. Elfimov
Department of Mathematical Physics, Ural State University Ekaterinburg, Russia
A. O. Ivanov
Department of Mathematical Physics, Ural State University Ekaterinburg, Russia

Краткое описание

Contact between two solid reagents, when the atoms of one of them exhibit high mobility over the surface of the other may result in a rapid surface diffusion penetration accompanied by a chemical reaction. In the case of reactions with participation of solid substances with low surface energy (tungsten, molybdenum and vanadium oxides) the diffusion was experimentally found to cease entirely when the visible boundary of the surface reaction moved through a certain, critical, not temperature dependent, distance. The article discusses a mathematical model of this phenomenon, constructed by subdividing the total reagent flux into the surface, intergranular and intragranular diffusion fluxes. The analytic solution was obtained on the assumption that the limiting factor of the process consists in slow motion of the front of chemical reaction into the grains of the substrate material. The model predicts stabilization of the surface concentration distribution of the reaction product. The analytic results were verified on the basis of experimental data for the CuO + MoO3 → CuMoO4 system. The temperature dependence of the characteristic time of stabilization of the length of the surface layer is described by the Arrhenius law, corresponding to the temperature variation of the chemical reaction constant.


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