Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors. (31st January 2013)

• Record Type: Journal Article
• Authors: Ananthaswamy, Vembu; Rajendran, Lakshmanan
• Other Names: Farrar J. M. Academic Editor.; Starikov E. B. Academic Editor.; Vergara A. Academic Editor.
• Is Part Of: ISRN physical chemistry. Volume 2013(2013)
• Publication Date: 2013-01-31
• Subjects: Chemistry, Physical and theoretical -- Periodicals; Chemistry, Physical and theoretical; 35.10 physical chemistry: general; Periodicals; Electronic journals; 541
• DOI: 10.1155/2013/487240
• Languages: English
• ISSNs: 2090-7761

Abstract

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.