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ISRN Physical Chemistry
Volume 2013 (2013), Article ID 487240, 14 pages
http://dx.doi.org/10.1155/2013/487240
Research Article

Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors

Department of Mathematics, The Madura College, TamilNadu, Madurai 625011, India

Received 13 September 2012; Accepted 31 October 2012

Academic Editors: J. M. Farrar, E. B. Starikov, and A. Vergara

Copyright © 2013 Vembu Ananthaswamy and Lakshmanan Rajendran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The mathematical modeling of nonlinear boundary value problems in catalytically chemical reactor is discussed. In this paper, we obtain the approximate analytical solution and the effectiveness factors for the evolution of single-step transformations under non-isothermal conditions using homotopy perturbation method. We have applied it to many reaction models and obtained very simple analytical expressions for the shape of the corresponding transformation rate peaks. These analytical solutions represent a significant simplification of the system’s description allowing easy curve fitting to experiment. The accuracy achieved with our method is checked against several reaction models and numerical results. A satisfactory agreement is noted.