Volume 55, Number 4, August 2001
|Page(s)||573 - 579|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 December 2003|
Analytical approximation for diffusion-reaction processes in rough pores
Centre de Mathématiques et de leurs
Applications Ecole Normale Supérieure de Cachan 94235 Cachan,
2 Departamento de Física, Universidade Federal do Ceará 60451-970 Fortaleza, Ceará, Brazil
3 Laboratoire de Physique de la Matière Condensée, Ecole Polytechnique 91128 Palaiseau, France
Accepted: 8 June 2001
The concept of an active zone in Laplacian transport is used to obtain an analytical approximation for the reactive effectiveness of a pore with an arbitrary rough geometry. We show that this approximation is in very good agreement with direct numerical simulations performed over a wide range of diffusion-reaction conditions (i.e., with or without screening effects). In particular, we find that in most practical situations, the effect of roughness is to increase the intrinsic reaction rate by a geometrical factor, namely the ratio between the real and the apparent surface area. We show that this simple geometrical piece of information is sufficient to characterize the reactive effectiveness of a pore, in spite of the complex morphological features it might possess.
PACS: 82.65.+r – Surface and interface chemistry; heterogeneous catalysis at surfaces / 47.55.Mh – Flow through porous media / 47.53.+n – Fractals
© EDP Sciences, 2001
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