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A mathematical model for heterogeneous reactions with a moving boundary
Author(s) -
Batarseh Kareem I.,
Swaney Glenn P.,
Stiller Alfred H.
Publication year - 1989
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690350412
Subject(s) - diffusion , porosity , particle (ecology) , chemistry , mathematical model , boundary value problem , thermodynamics , porous medium , mechanics , mathematics , physics , mathematical analysis , organic chemistry , oceanography , statistics , geology
Abstract A general mathematical model is presented for the noncatalytic reaction between a porous solid and a gas with solid product formation under conditions controlled by intraparticle diffusion. The model has been formulated in general terms so as to allow the incorporation of specific details pertaining to actual systems. The formulation assumes that the gaseous reactant diffuses through the pore space of the particle followed by diffusion through the product layer. The resulting equations are solved numerically. This model has been used to predict conversion‐time curves for the atmospheric oxidation of iron disulfide contained in porous solids. The predicted curves are in excellent agreement with the experimental data. In particular, it produces accurate estimates for the conversion rates of iron disulfide at different temperatures.