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Statistical and continuum models of fluid-solid reactions in porous media

Sahimi, Muhammad and Gavalas, George R. and Tsotsis, Theodore T. (1990) Statistical and continuum models of fluid-solid reactions in porous media. Chemical Engineering Science, 45 (6). pp. 1443-1502. ISSN 0009-2509. doi:10.1016/0009-2509(90)80001-U.

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In this review, we discuss past theoretical works on fluid-solid reactions in a porous medium. Such reactions are often accompanied by a continuous alteration of the pore structure of the medium, and at high conversions they exhibit percolation-type behavior, i.e. the solid matrix of the medium and/or the fluid phase lose their macroscopic connectivity. These phenomena are, therefore, characterized by a percolation threshold which is the volume or area fraction of a phase (solid or fluid) below which that phase exists only in isolated clusters or islands. Important classes of such processes are acid dissolution of a porous medium and gas—solid reactions with pore volume growth, e.g. coal gasification, and with pore closure, e.g. lime sulfation, and catalyst deactivation. These processes are characterized by continuous changes in the pore space as a result of a chemical reaction. We also consider here other processes such as the flow of fines, stable emulsions and solid particles in a porous medium which also alter the structure of the pore space, but by physical interaction of the particles and the solid surface of the pores. In this review we compare two different modelling approaches to reactions accompanied by structural changes. First we review the continuum approach, which is based on the classical equations of transport and reaction supplemented with constitutive equations describing the effect of structural changes on reaction and transport parameters. We then outline the relevant concepts, ideas and techniques of percolation theory and the statistical physics of disordered media, and review their application to the phenomena mentioned above. In particular, we emphasize the fundamental role of connectivity of the porous medium in such phenomena. Since in both approaches one needs to estimate the effective transport properties of the porous medium that is undergoing continuous change, we also review continuum and statistical methods of estimating the effective transport properties of disordered porous media.

Item Type:Article
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URLURL TypeDescription
Sahimi, Muhammad0000-0002-8009-542X
Gavalas, George R.0000-0003-1468-6835
Additional Information:© 1990 Pergamon Press. The work of one of us (MS.) was partially supported by the University of Southern California Faculty Research and Innovation Fund, and by the donors of the Petroleum Research Fund, administrated by the American Chemical Society. M.S. and T.T.T. also acknowledge partial support of this work by the Department of Energy. We would like to thank Yanis C. Yortsds for a critical reading of the paper. One of us (M.S.) would like to thank Alan R. Kerstein for many useful discussions. and is grateful to him and Boyd F. Edwards for sending him the preprints of their work before publication. We would also like to thank Valerie L. Jue and Karen Woo for their help in preparing and editing this review, and our past colleagues for their collaboration on our work discussed in this review.
Funding AgencyGrant Number
University of Southern CaliforniaUNSPECIFIED
American Chemical Society Petroleum Research FundUNSPECIFIED
Department of Energy (DOE)UNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20151104-095848622
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Official Citation:Muhammad Sahimi, George R. Gavalas, Theodore T. Tsotsis, Statistical and continuum models of fluid-solid reactions in porous media, Chemical Engineering Science, Volume 45, Issue 6, 1990, Pages 1443-1502, ISSN 0009-2509, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:61813
Deposited By: Ruth Sustaita
Deposited On:04 Nov 2015 19:35
Last Modified:10 Nov 2021 22:54

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