Journal of the Society of Powder Technology, Japan
Online ISSN : 1883-7239
Print ISSN : 0386-6157
ISSN-L : 0386-6157
Calculating the Conversion of a Diffusion Controlled Solid-Solid Reaction
Masahiro SHIRAITatsuo TANAKA
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1985 Volume 22 Issue 10 Pages 688-692

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Abstract
Volumetric conversion of a solid-solid reaction, in which solid particles of one component are randomly packed with particles of the other component, is calculated with a model in which the reaction proceeds by mutual diffusion through the contacting points.
Two periods are considered, i. e., the initial concentric spheres model period followed by the shell model period after the transition point. The both conversions are theoretically expressed as functions of four factors-dimensionless time, the diffusivity ratio, the size ratio and the volume fraction.
The calculated conversion at the transition point can be regarded as a measure of a reaction of high efficiency for a given system and is graphically shown for design purposes.
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