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Approximate solution for nonlinear model of the second and half order reactions in porous catalyst by decomposition method

Lookup NU author(s): Emeritus Professor Keith Scott

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Abstract

The problem of the process of coupled diffusion and reaction in catalyst pellets is considered for the case of second and half order reactions. The Adomian decomposition method is used to solve the non-linear model. For the second, half and first order reactions, analytical approximate solutions are obtained. The variation of reactant concentration in the catalyst pellet and the effectiveness factors at phi < 10 are determined and compared with those by the BAND's finite difference numerical method developed by Newman. At lower values of phi, the decomposition solution with 3 terms gives satisfactory agreement with the numerical solution; at higher values of phi, as the term number in the decomposition method is increased, an acceptable agreement between the two methods is achieved. In general, the solution with 6 terms gives a satisfactory agreement.

Publication metadata

Author(s): Sun YP, Liu SB, Wu BT, Cheng MQ, Wang JW, Scott K

Publication type: Article

Publication status: Published

Journal: Progress in Natural Science

Year: 2003

Volume: 13

Issue: 7

Pages: 505-510

ISSN (print): 1002-0071

ISSN (electronic): 1745-5391

Publisher: Elsevier

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