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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received February 26, 2011
Accepted May 3, 2011

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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High-order approximations for unsteady-state diffusion and reaction in slab, cylinder and sphere catalyst

Dong Hyun Kim^† Jitae Lee

Department of Chemical Engineering, Kyungpook National University, Daegu 702-701, Korea

dhkim@knu.ac.kr

Korean Journal of Chemical Engineering, January 2012, 29(1), 42-48(7), 10.1007/s11814-011-0120-7

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Abstract

High-order approximations for unsteady-state diffusion, a linear adsorption and a first-order reaction in a slab, cylinder and sphere catalyst are developed. The approximations are based on a first-, a second-, a third- and a fifth-order approximation of the Laplace domain solutions of the exact model for the catalyst of three geometries. The coefficients in the approximations are functions of Thiele modulus of the respective geometry and easy to determine. The accuracy of the approximation is shown to increase markedly with the approximation order.

Keywords

Mathematical Modeling Simulation Approximation LDF Formula Transient Response

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