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Analytic solution of diffusion reaction in spherical porous catalyst

Lookup NU author(s): Emeritus Professor Keith Scott

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Abstract

The model for coupled diffusion and nth-order reaction in a spherical catalyst pellet, which is a strong nonlinear differential equation with boundary values, is solved using the Adomian decomposition method. The explicit solutions for concentration profiles and effectiveness factors, for the model equation, are obtained and compared with the solutions obtained by a finite difference numerical method. For reaction orders less than 1.0, the Adomian polynomial series solution with 4 terms gives comparable results to those obtained with a finite difference numerical procedure. For reaction orders greater than 1.0, series solutions with more than 6 terms, are required for good accuracy.

Publication metadata

Author(s): Shi-Bin L, Yan-Ping S, Scott K

Publication type: Article

Publication status: Published

Journal: Chemical Engineering and Technology

Year: 2003

Volume: 26

Issue: 1

Pages: 87-95

Print publication date: 01/01/2003

ISSN (print): 0930-7516

ISSN (electronic): 1521-4125

Publisher: Wiley-Blackwell Publishing

URL: http://dx.doi.org/10.1002/ceat.200390013

DOI: 10.1002/ceat.200390013

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