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Representation of the concentric spherical powder reaction model in the form of linear regression analysis

Authors

  • Akira Shimizu,

    Corresponding author
    1. Division of Material Science and Engineering, Graduate School of Engineering, Hokkaido University, Kita-ku, Sapporo 060, Japan
    • Division of Material Science and Engineering, Graduate School of Engineering, Hokkaido University, Kita-ku, Sapporo 060, Japan
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  • Yu-Jun Hao,

    1. Division of Material Science and Engineering, Graduate School of Engineering, Hokkaido University, Kita-ku, Sapporo 060, Japan
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  • Tatsuo Tanaka

    1. Division of Material Science and Engineering, Graduate School of Engineering, Hokkaido University, Kita-ku, Sapporo 060, Japan
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Abstract

To perform the linear regression analysis of the powder reaction rate, some kinetic equations are derived on the basis of the Hao and Tanaka's concentric spherical model (Intern. Chem. Eng. 30, 244 (1990) and Can. J. Chem. Eng. 68, 81 (1990)) assuming monodisperse particles. The applicability of the kinetic equations is examined by using the experimental data of both counterdiffusion system and uni-directional diffusion system. This linear regression analysis enables us to decide rapidly about the suitability of the model, to predict the diffusion mode and to determine the diffusivity.

Abstract

Pour effectuer une analyse par régression linéaire de la vitesse de réaction de poudre, quelques équations de cinétique sont calculées à partir du modèle sphérique concentrique de Hao et Tanaka (Intern. Chem. Eng. 30,244 (1990) et J. Can. de Génie Chimique 68, 81 (1990)) en supposant des particules monodisperses. On examine l'applicabilité des équations de cinétique l'aide de données expérimentales d'un système à rétrodiffusion et d'un système a diffusion unidirectionnelle. Cette analyse par régression linéaire nous permet de décider rapidement de l'adéquation du modèle, afin de prédire le mode de diffusion et de déterminer la diffusivité.

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